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Thursday, September 26, 2013

Let it Fly!...in 2 Dimensions☺

By playing we learn. So, let's play. On the left side of the blog is a link to a game called "Bazooki: A Silent Affair" and it's all about 2D projectile motion. Play the game for at least 10 minutes, and BE OBSERVANT while you play. Mess around with different angles and different amounts of force, and look at how it affects the flight path of the projectile and the distance it covers.

After you've played, post a reply of something you learned/observed about 2D projectile motion. Talk about vectors (horizontal versus vertical), force, or angles -- or all three!

Make sure to complete this by the end of the day Friday. Have a great one, and I'll see you soon. :)

Mr. R

62 comments:

  1. What I noticed about the 2D projectile motion was when the angle was above 45 degrees, the missile would not travel as far as a missile fired at 45 degrees. Also, when you increase the angle above 45 degrees, there is more hang-time. Aiming less than 45 degrees gives you more movement on the horizontal axis. The more force you put into the missile increases the range of it. On the contrary, using less force lets you shoot at targets closer with more accuracy. The starting point is also a major factor. If you start high, you will end up shooting at a lower angle than when you start low.

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  2. After playing, I realized that in the instances when the bazooka was fired above a 45 degree angle with a lot of force, the bullet went the same distance as it would if fired with just a little bit of force. The only difference between the two was the amount of time that the bullet, spent in the air. However, when the vector was more horizontal and you fired the bazooka with a lot of force the bullet went way farther than when fired with only a little force.

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  3. When trying to squeeze the bullet inside of 2 vertical barriers, the most effective way to do so was lessening the force but increasing the angle of your release to above 45 degrees. This way you have more of an arc and the bullet comes at more of a vertical on the way down. However, if the barriers are horizontal the bullets want to go more on the horizontal, therefore the angle of the release should be below 45 degrees allowing for a straighter release. Also you should increase the force to be sure it gets through.

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  4. While playing the Bazooki game, I noticed that in order to get the missile over the walls so that they would reach the targets, I needed to shoot up and over causing the angle to be more arched at around 60-70 degrees and with less of a hang time. Also, I noticed that the amount of force I shot with changed the distance that the bullets would travel because they would only reach certain targets if there was enough force. Also, when I wanted to shoot straight down, I had to use less force because the more force there was, the farther the bullets went. Also, I noticed the bullets traveled the farthest when there was a 45 degree angle; however, if the angle was greater or less than 45 degrees, the bullet would not travel as far. I also realized that a 30 degree angle went the same distance as a 60 degree angle but at times I had to use one over the other in order to avoid the barriers and also not to hit the ceiling. Additionally, I noticed that the horizontal vectors consisted of more force as opposed to the vertical vectors which were less forceful.

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  5. When the gun was point more towards the ceiling, the bullet covered more distance vertically than horizontally; moreover, when the gun was pointed at a 45 degree angle, the bullet covered the same distance vertically and horizontally. So, if you are trying to shoot the bullet to a target that is further away from you and directly across from you (not higher or lower), you would increase your force to make sure the bullet goes far enough to react the target and the angle of your gun would be at zero degrees (meaning the gun would be held straight).

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  6. For the first three levels I noticed that a 45 degree angle would reach the targets perfectly. However, for some of the targets I need to use a 55 degree angle, but they required a lot less pressure to cover the distance. With the close targets I tried using a 65-80 degree angle, which almost hit the targets, with the lowest amount of pressure. Continuing with 45 degree angles, the more pressure I applied when reaching the further targets, there really wasn't enough accuracy;however, it covered the distance perfectly. Concluding 45 degree angles was the best when taking out the various targets.

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  7. While playing Bazooki: A Silent Affair, I noticed the lower the vertical "hang time" was, the less force you can achieve. Throughout the game, I used a more vertical vector than a horizontal vector to get around the different obstacles. If the game was trying to accomplish the furthest distance, you would have to aim the canon at 45 degrees, having equal vertical and horizontal vectors. Therefore, just having a vertical vector means more hang time since gravity has to over come the hang time and bring the ball down. Having a more horizontal vector means more distance quicker, yet it has much less hang time, bringing the ball down faster.

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  8. When playing the Bazooka Game, I learned that sometimes using less force, the missile went the same distance as using more force at a 45 degree angle. Although, their was a lot more hang time in the in the missile that was fired at 45 degrees with less force. I also noticed that if the missile was fired lower then 45 degrees, the missile covered much more horizontal distance. Also when more forced is used, the distance increases a lot more. The missiles could only reach the targets with a certain amount of force. Similar to the horizontal vector, when the missile shot straight up or above 45 degrees the vertical distance increased. Overall I learned I'm not very good at the Bazooka game.

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  9. When playing the bazooka game, I noticed that it took less force for the missile to go farther when it had more vertical arc than horizontal. Also I realized that, even though Bazooka is not the real world (even though that would be pretty cool), I had much more control when I had more arc than more horizontal, because the extra force I had to use when going more horizontal limited accuracy.

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  10. While playing Bazooki, the amount of force and where exactly you angled the missile determined where the missile would land and if the target would be hit. Using the 45 degree angle was the most common when hitting targets as it almost always worked depending on the amount of force applied. The amount of force also determined whether the horizontal or vertical vector was used. While I played, I noticed an equal amount of vertical and horizontal vector when in the 45 degree angle as oppose to switching to a higher or lower angle and different force and experiencing more vertical or more horizontal and not being equal. Through out the game, I mostly stayed on the 45 degree angle though because it was the easiest to control the landing depending on the amount of force I would apply.

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  11. While playing Bazooki, I noticed you were most effective when shooting at a 45 degree angle. If you shot at more than a 45 degree angle the missile just shot straight up and would not go as far. When using a 45 degree angle your shot was the most accurate and the most effective. Then if you want it to go farther you had to put more force on your shot so it can so far as you want it to. Also you had to deal with various different obstacles, that affected how you shot sometimes it was better to shoot using a 30 or 60 degree angle to avoid the barriers.

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  12. While playing Bazooki, i noticed the importance of the proportion between angle and force, if you take a shot with a more vertical approach you must adjust your power accordingly to land in the correct spot. The same rules apply with a horizontal approach, if you use too much force the bullet will line drive into the back wall; using less force with cause the bullet to drop in the correct spot because of gravity.

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  13. I noticed that where your bullet lands is not based on only your vertical and horizontal motion. Your force can be the deciding factor of the landing point. Although force was a large deal, I noticed the 45 degree angle at max power was definitely the biggest shot; however, not always the shot you want to slip through the levels.

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  14. After playing Bazooki, I noticed that more I angled the missile past 45 degrees, the less distance it would travel, and more of an arch would appear. And the amount of speed I would put into the missile wouldn't do a difference in the amount of distance covered if I angled the gun past 45 degrees because gravity is still acting upon the bullet. On the other hand I noticed the more I directed the missile straight forward or less than 45 degree, the less of an arch would appear, and more movement in the horizontal direction would occur. I also noticed to get in between two barriers, I would have to angle the missile past 45 degrees to more like 60 degrees, so that there is more of a vertical line with an arch.

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  15. When playing the game i noticed that at a 45 degree angle and the most force possible, the bullet would travel the greatest distance. However, that was not the point of the game. I learned that in different scenarios, force and distance were not always what was necessary. Using a higher angle around 60 degrees with a moderate amount of force was usually what I went with. This arc covered a decent amount of distance and had a pretty good hangtime. Overall, the shot was usually mostly dominated by the vertical axis although it did have a decent horizontal axis as well.

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  16. Playing the game imparted upon me the importance of finding the correct balance between force, vertical projection and horizontal projection. Furthermore, while certain co-terminal angles might result in the same end-location, that does not always work as in this game the path of one of the co-terminal angles was often blocked. Additionally, one could often achieve the same result by altering both the angle and force of the shot inversely to each other. Again, this was not always effective as there were often obstacles.

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  17. When playing Bazooki: A Silent Affair, I noticed that besides the fact that i am very bad at the game, the angle of attack played an important role. At times where the TNT was on the way opposite end, I needed more horizontal force then vertical force. SO, I used a smaller angle (25 - 35 degrees). Even though an 55-65 degree angle would hit the same spot there where barriers in the way of using higher angles of attack. Because both angles have the same relationship to a 45 degree angle. however, I realized that if I needed to hit the TNT closer to the canyon, i would need to use a high angle of attack like 6-70 degrees. thus creating, more vertical and less horizontal distance. This high angle would also help me get above the barriers.

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  18. Since the cannon ball shooting out of the cannon creates an arc and is a 2- dimensional movement, consisting of a vertical and horizontal vector, the distance the cannon ball would travel would depend on the force projecting the ball as well as the arc formed by these two vectors. In the "Bazooki; A Silent Affair" game, as we have previously discussed in class, the more vertical that I made the angle (about 80 degrees) of the arc of the trajectory of the projectile, the higher it would go; however, it would not travel very far horizontally and not cover a long distance. Now, when I made the arc more horizontal and less steep (about 10 degrees), it still would not travel very far as the ball would almost immediately his the ground. When I put more force on each of these two shots, the cannon ball would travel farther but not to a dramatic extent as the angles were either very vertical or very horizontal. We established in class that vertical and horizontal vectors are proportional to each other and that in order to project the ball the furthest, one would need to throw the ball with as much horizontal motion as vertical. When attempting to shoot the cannon ball as far as I could, I confirmed that when the arc was at about 45 degrees and when I used the most force, the ball would travel as far as it could.

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  19. While playing Bazooki I observed that the more force you have the farther the shot of that thing travels. 45 degree angles with the highest power was the biggest shot due to its equal horizontal and vertical travel. Pointing the gun higher helped me get over the barriers, but it took away from my horizontal distance so it was challenging.

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  20. While I was playing Bazooki, I noticed that I not only had to focus on the angle of my shot, but the force as well. It was pretty clear that a 45 degree angle produced the strongest shot and went the furthest distance when the right amount of force was applied, but that wasn't always the best way to get through the levels. It took time for me to figure out the correct angles that would get me over the barriers and had the right vertical vector , while still being able to have enough horizontal vector involved to go the correct distance.

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  21. After playing Bazooki, I realized that aiming the cannon at a 45 degree angle achieved the greatest amount of force and distance because it was a balance between both the vertical vector and horizontal vector; therefore, if the cannon was aimed greater or less than 45 degrees, the bullet would not have accomplished a large amount of distance. In some cases, I needed the bullet to go straight down which is when I aimed the cannon at more of a 75-85 degree angle in order to go straight up and then back down. This game was definitely forced me to think about different angles and vectors.

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  22. As I played Bazooki, i realized that the more power i put into the shot the farther it traveled. The bullet landed in the same spot under 45 degrees and above depending the angle. To maneuver through the walls it was easier when i created an arch because it was a horizontal travel. i could alter its arch path by holding down the mouse button and moving the line to see where it would end up. Also the more force i put into it the farther it reached.

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  23. While playing Bazooki, I discovered that the more force I use in my shot, the farther it will go, which is very similar to what we learned in class within these past few days. If I aimed the cannon at a 45 degree angle, creating the perfect amonunt of both horitzontal and veritcle angles, I could get the greatest force and distance. This game was a lot more difficult than I expected it to be, but it really helped me absorb more information on the topic of vector, distance, and force.

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  24. When I played Bazooki, it was easier to shoot with an arch and more horizontally. When I shot it with more force more vertically, The cannon tended to shoot the ball very high up. Shooting the ball at a 45ish degree angle usually resulted in successful goals.

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  25. While playing Bazooki I realized that the more force that I used in my shot, the farther it traveled. Much like we learned in class, I realized that if the distance subtracted or added to 45 was equal, it traveled the same amount of distance. Additionally, i realized that when fired at a 45 degree angle, it traveled the farthest with the most distance.

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  26. While playing Bazooki I noticed that 45 degress was the key angle for shooting the canon. By this I mean that there is a perfect amount of verticle and horizontal vector to take the canon ball as far as possible. Slowly increasing the degrees above 45 would slowly decresse the horitzontal distance because of the inceeased hang time, and vice-versa for decreasing degrees below 45 degrees. The angles are key to completing goals.

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  27. I observed that when using less force, the missile goes further distance as when using more force at a 45 degree angle. I also noticed that I got more hang time when it was above 45 degrees. When I aimed below 45 degrees you get more movement along the horizontal axis. When I put the cannon at a perfect 45 degree I got the greatest distance and force.

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  28. From playing the game I learned that using more force at a 45 degree angle maximizes distance and balancing horizontal and vertical vectors. Shooting the gun upwards with a lot of force it maximizes the vertical vector; however it doesn't increase distance same with the complimentary angle that is to say if i shot at 30 degrees my complimentary angle is 60 degrees shooting at complimentary angles lands the projectile in the same location however shooting at a 45 degree angle maximizes distance

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  29. After playing Bazooki, I observed a few different things. I observed that if you shoot the missle vertically, you will have a longer hang time, and it will fall straight down. On the other hand, if you shoot the missle horizontally with a shorter hang time, the missle would go further in a shorter amount of time. Also, the 30 degree angles and the 60 degree angles went the same distance since they are complimentary angles.

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  30. When playing the game, I realized that I needed to shoot up making a 60-70 degree angle with less hang time in order to get the misile over the wall. When shooting down, I realized it was more beneficial to use less force so the bullet didn't travel very far. Also, since 45 degrees is the maximum distance, when the ballets were at that angle, they would travel te farthest. Also, the 30 degree angle and 60 degree angle went the same distance because they are complementary angles.

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  31. What i learned from the game was that shooting the ball above 45 degrees gave it more vertical ,but less horizontal , and when you shoot it below 45 degrees you have more horizontal but less vertical. Based of that information i discovered that if you use complementary angled to fire the ball the distance is maximized.

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  32. The only way to shoot across from one corner to another is by shooting at a 45 degree angle because it's equal horizontal to vertical; therefore, shooting at that angle goes the furthest. With shooting it vertically it had more hang time but it would go a short distance. With shooting horizontally, there was more less hang time and also a short distance. Like we said in class, I observed how complementary angles land in the same spot because they are reciprocals of their vertical and horizontal.

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  33. After playing the game for 10 minutes I realized it is exactly like the things we talked about in class. Firing the cannon at a perfect 45 degrees angle caused it to go the farthest. That is because it is a combination of vertical and horizontal, whereas firing the cannon slightly above 45 degrees or below 45 degrees causes it to go slightly less far. But overall the amount of force affected the cannon, firing the cannon with the most amount of force caused it to go the farthest.

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  34. When playing the game, if you point the missile up it goes more vertical and less horizontal however when you aim it lower than 45 degrees, it goes more horizontal than vertical. Lower than 45 degrees creates a more 1-D vector, where as pointing it at more of a 45-degree angle creates an evenly distributed 2-D vector. Pointing the missile at around a 45-degree angle gets a more equal distribution of vertical and horizontal and goes the farthest.

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  35. While playing Bazooki, I realized the importance of complimentary angles. When trying to shoot the missile really far I tried to aim for 45 degrees where horizontal and vertical vectors are equal, creating the maximum amount of distance that can be traveled. I also noticed that the (2 dimension) missile would not travel as far as 45 degrees did, if the angle was greater (more hang-time) or less (too low/close to horizontal) than 45. When I needed the missile to fire straight down, I aimed the missile around 75-80 degrees so it flew up and straight down onto the targets. Bazooki certainly had me thinking of different combinations and strategies.

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  36. While I played Bazooki, I found that the angles are very important. The further I wanted too shoot, I realized I had to adjust to a 45 degree angle and when I wanted to shoot a little closer to me I had to increase the degree of the angle. The more vertical you aim, you get more of a 1D vector whereas when you aim more horizontal you get more of a 2D vector.

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  37. I found that when I played the game two factors altered where my shot would fall. My angle and force. The more force I applied to my shot the farther and more horizontal it would travel. Furthermore, the higher the angle I applied to my shot the higher my vertical would become. With these two factors applied together you could find the perfect combination of vertical and horizontal for each shot required to create a 2D vector which would hit the target.

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  38. While playing Bazooki, i realized than angles were very important in the game. Shooting at a 45 degree angle maximized both the distance and hang time of the shot. Shooting below a 45 degree angle, increases the horizontal distance but the hang time goes dow. Shooting above a 45 degree angle, the shot has more vertical hang time as the distance decreases.

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  39. I felt as though the angles were the most important factor in my trial of the Bazooki game. The obstacles especially frustrated me because I sometimes had the perfect angle, but there was a barrier to block it. One really cool thing about the game, though, was the differences in the consistencies of the obstacles: some walls were bouncy and some produced completely zero bounce back.

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  40. While playing Bazooki, I actually came across the idea that a 45 degree angle gives you the most distance as well as the most hang time. I played around with shooting at complementary angles which landed in the same spot, unless they hit the barrier. Shooting at less than a 45 degree angle gives you more horizontal projection with less hangtime, and shooting above a 45 degree angle gives you more vertical projection but doesnt cover as much distance but has more hang time.

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  41. While playing bazooki, I noticed that the farther you point the barrel the farther it goes, and it also adds more force andd power to the bullet. The higher you point the missle, the closer and less force it has. One had to reach the correct angles in order to blow up the targeted areas.The hangtime of the bullet relied on the angle being shot, so you had to get it at the perfect balance of distance, height, and power. A common mistake I made was shooting the bullet too far, so I started to keep it closer and used less force, and as a result I reached the boxes that I was supposed to blow up.

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  42. During the game I noticed that when I aimed the gun higher the marshmallow went higher in the air but landed not too far from me. When I pointed it in a straighter angle it went farther and stayed level to the way I shot it. I also figured out that if I pumped the gum many times there was a lot of pressure in the gun and the marshmallow went farther. But, if I waited too long the air escaped and the marshmallow either got stuck or didn't fire very hard.

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  43. This comment has been removed by the author.

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  44. Something that is extremely simple to understand however it is very useful is the more you pump the gun the farther the bullet will go. The force that is exerted, the farther the bullet will then go. The more pressure also applied will cause the bullet to go a farther distance.

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  45. I noticed that the same rules that applied with the marshmallow guns applied in the game, as the angle approached 45 it reached maximum distance, and while the angles were equidistant to the 45 degree mark they'd reach the same spot, and force also played an important part as to how far the bullet would travel

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  46. While playing bazooki, I noticed the more you pump the canon the farther it would go. Referring to the vectors, by pumping the canon, the horizontal vector would increase because the power to blast the canon would increase. However, the pressure from the vertical vector (gravity) won overtime like always and eventually brought the bullet to the ground.

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  47. While playing bazooki, I relalized that the farther you pull back the cannon the higher it goes; therefore, force clearly plays a role in this game. Also I noticed that if you hold the shooter at 45 degrees, that is where it will gain the farthest distance. It relates directly to what we did with the marshmallow activity and the game really helped me understand and grasp the material that we learned that week.

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  48. From the game I realized that angles and force go hand in hand because you need to have the right amount of force to get the ball in to the air but you also need to angle it in the right direction to avoid hitting the obstacles. The higher you aim the more hang time you get but less distance whereas when you go to a nice 45 degrees you get the right amount of both.

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  49. During the game I realized that if you apply the same amounts of force to complemintary angles the torpedo would go the exact same distance. The hangtime of the torpedo relies totally on the arc and the force applied to the torpedo.

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  50. The more vertical the shots are shot, the less distance it will travel, and the higher the shot go, just as, the lower it is shot, the further it will travel. While in both situations, the more force used to shoot the gun, the further they will travel.

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  51. When I was playing the game, I learned that the more vertical shots go less far but have a higher arc and the more horizontal shot will not fly as high but will hit one of the obstacles. Also when you aim the shot at 45 degrees, there will be more hangtime and more distance will be covered.

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  52. When I played the game i noticed that the shots fired at a higher angle traveled less did not go as far or went too high but not far enough. While shots at a 45 degree angle seemed to go the farthest, and shots fired at a low angle will hit the ground shortly.

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  53. While playing the Bazooki game, I realized that I needed to balance the amount of force I used with the angle in order to hit the target. When shooting the ball from an angle below 45 degrees it was a lot more vertical, while shooting from a higher angle was more horizontal. Incidentally, a 45 degree angle was ultimately the most effective shot because of the balance between horizontal and vertical.

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  54. When I played the game, I noticed that the higher i aimed (bigger angle), the longer the hangtime was and the lower I aimed (small angle), cannon shot over more horizontal projection. I also observed how complimentary angles land in the same spot, as discussed in class.

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  55. The more vertical angle that is in place when the shots are shot, the less distance it will travel, and the ball will travel much higher. And the lower the ball is shot, the further distance it will travel. But for both scenarios, the more force that is placed on the ball, the farther both balls will travel.

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  56. While playing the game, I observed that when the ball was fired vertically the less distance it would travel because it had no horizontal direction. But when I fired the ball at 45 degrees, I noticed that the ball traveled perfectly because the vectors were balanced.

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  57. When I played the game, I noticed that if you had the gun at a 45 degree angle, it would go much further than any other angle. I tried aiming at all other angles and none of them went as far as the 45 degree angle. I tried having it at a higher angle, and it went up further, but not as far. When I aimed lower, it also did not go as far

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  58. My friend would want his parents to be driving towards him. If his parents were driving towards they would not be able to tell that he was speeding, because at the exact moment that the two cars pass each other they are both accelerating at an advance rate. Also since they are traveling opposite directions the distance between the two is growing. If the parents were sitting on the side of the road they would be able to see his son speeding, because by sitting, they are currently at 0mph and when their son passes by at 80mph his speed is noticeable. Furthermore, if his parent were driving at 60mph my friends speed would be noticeable because his parents are only driving at 60mph, and due to their speed and direction, the distance between the two would increase by 20 mph.

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  59. When I played bazooki, one observation that I had was when the gun was pointed at specifically 45 degrees vs. other degrees that were larger or smaller was not as accurate and did not reach the targets as successfully. When shooting more horizontally directed shots, the ball did not go as high into the air and traveled more distance, however when the ball was fired more vertically, it traveled less distance and went higher into the air. Firing it at 45 degrees made it more able to reach the targets accurately.

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  60. I noticed that when more power was added, the trajectory would flatten out and go farther. Consequently when less power was added, the curvature would be steeper,forcing it to the ground faster

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  61. While playing bazooki, I realized that the more I pump the cannon the father it would go. Because I was pumping the cannon, the horizontal vector increased due to the increased power that is blasting the cannon. Gravity was also a factor in the game. Gravity is a constant accelerator, so the the bullet was eventually pulled to the ground every round played. I noticed that shooting the cannon less than a 45 degree angle give a more horizontal projection and a less amount of hang time. Whereas shooting above a 45 degree angle produced a greater vertical projection; however, the distanced covered in decreased.

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