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Projectile A is fired at a speed Vo at an angle 0 above horizontal as shown and projectile B is fired at the sar but at a speed of 2%. Use this for Questions #1-7. angle Draw the initial velocity vectors for both projectile A and projectile B. Remember that the length of your arrows is important. 1. 2. Compare the initial horizorntal and vertical velocities of projectiles A and B. Be specific. Explain your answers. 3. Compare the horizontal and vertical velocities of projectiles A and B when they are at their highest points. Be specific and explain your answers.
Projectile Motion 4. Find the time that it takes projectile A to reach its hi hest point above the ground. Your answer should depend on Vo, 0 and g. 5. Lets say that projectile A takes a time trop to reach its highest point above the ground. In terms of trop: how long does it take projectile B to reach its highest point above the ground? You should be providing your answer in sentence form, but you will definitely need to refer to specific equations. Lets say that a time tland passes from when projectile A is fired to when it returns to the ground. In terms of tiand, how long does this process take for projectile B. You should be providing your answer in sentence form, but you will definitely nced to refer to specific equations. 6.
Projectile Motion Three students are working on an experiment using projectiles A and B. One of them (student #1) is making measurements of bc projectiles while the others are making sure the experiment is set up correctly. After making his measurements, student #1 gives the following two results from the experiments: 7. i. Projectile B reaches a maximum height four times as high as projectile A. ii. Projectile B lands four times farther from its starting point than projectile A. The other two students are discussing what the first student just said. Student 2: I think student #1 made the correct measurements. Projectile B is travelling twice as fast in each direction and it also spends twice as much time in flight so it seems reasonable to me that it can travei four times as far vertically and horizontally Student 3: I disagree. I think student #1 must have measured the horizontal and vertical displacements incorrectly. Since the speed of projectile B is only twice as large you would only expect it to travel twice as far Do you agree or disagree with either or both of the students? Explain your reasoning
ectile Motion A snowball is thrown off the edge of a 20 m tall building. It is thrown upward with an initial velocity in the y direction of 15 m/s and a velocit in the x direction of 5 m/s. Sketch the trajectory of the snowball from the time it is thrown until it hits the ground. Explain your trajectory 8. 9. At what angle above horizontal is the initial velocity of the snowball? 10. At what speed was the snowball thrown? 11·Write the expressions for the x and y component of the velocity of the snowball as a function of time
Projectile Motion 12. Determine the speed of the snowball 2 s after it is thrown. 13. Considering the entire flight, what will be the minimum speed of the snowball? Explain your reasoning. (Note: youre analyzing its flight from the instant it is thrown until the instant just before it hits the ground.) 14. Determine the time when the snowball hits the ground.
Projectile Motion 15. Calculate x(t)and y(c) up until the time when the snowball hits the ground and graph them here. Your graphs should be qualitatively and quantitatively correct 40 T 30 20 10 40 T 30 20 5 10 -10 20 30 -40 -10 time (s) time (s) 16. Graph v(t)and ry (t). Your graphs should be qualitatively and quantitatively 15 1 30 T 10 20 a 10 .5 -10 -15 -10 -20 -30J time (s) time (s)
17. Calculate a() and ay(t) and then graph them here. Your graphs should be qualitatively and quantitatively correct 20 15 10 20 T 15 10 -5 -10 15 -20 .5 -10 -15 -20 J time (s) time (s) 18. On the drawing below, sketch the trajectory of the snowball. Your sketch should accurately show how many meters away from the building the ball lands. Explair your answer 5 m 10 m 15 m 20 m 25 m 30 m
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