Projectile Motion Problems Packet #1

Transcription

1 Projectile Motion Problems Packet #1 1. Louie Slugger, the baseball player, hits a pop fly. It goes upward with an initial velocity of 57 (m/sec) at an angle of 57 o. The initial height of the ball is 1 meter. b. What is the ball s position after 2 seconds? c. When is the ball 26 meters above the ground? d. When is the ball back to its original height? e. When does the ball hit the ground? f. When is the ball at its highest position? g. What is the maximum height of the object? What is the horizontal

2 2. Suppose that you throw a rock into the air from the top of a cliff. The initial velocity is 19 (m/sec) at and angle of 52 o. The initial height is 1.5 meters. b. What is the rock s position after 2 seconds? c. At what times will the rock be 5 meters above the top of the cliff? d. When will it again be at the same level you threw it? e. When will it hit the water, 50 meters below the cliff? What is the horizontal f. How high above the water will the rock be after 4 seconds? g. When will the rock be 60 meters above the water?

3 3. Wile E. Coyote is standing on a springboard atop the high cliff. Roadrunner drops a boulder on the other end of the springboard, sending Wile up with an initial velocity of 46m/sec at an angle of 75 o. b. What is Wile position after 4 seconds? c. At what other time will he be the same altitude as in part b? d. When does Wile reach his maximum height? e. What is Wile s maximum height? What is the horizontal position at this point? f. When does he reach the level of the cliff? g. On the way down, Wile misses the cliff. At what time does he land in the river 120 meters below the top of the cliff? What is the horizontal position at this point? h. How high above the river is Wile after 10 seconds?

4 4. As Al Pine jumps off the end of a ski jump, he has an initial velocity of 14 meters/second at an angle of 68 o. b. What is Al s position 2 seconds after he jumps? c. At what other time will he be as high as in part b? d. When is he at the level of the ski jump again? e. Al spends a total of 5.2 seconds in the air. How far below the end of the ski jump does he land? What is the horizontal f. When does Al reach his maximum height? g. What is Al s maximum height? Both above jump and above ground. What is the horizontal

5 5. Rhoda Davidson prepares to jump her motorcycle from a ramp with an initial velocity of 19 m/sec at an angle of 47 o. b. What is Rhoda s position after 2 seconds c. When is Rhoda 8 meters above the launch ramp? What are the horizontal positions at this height? d. When does Rhoda reach her maximum height? e. What is Rhoda s maximum height above the launch ramp? What is the horizontal f. If her time of flight is to be precisely 3.7 seconds, what is the highest she goes above the ground?

6 6. A projectile is fired at an angle of 60 o with an initial velocity of 840 m/s.. b. What is the projectile s position after 5 seconds? c. When does the object reach its maximum height? d. What is the maximum height of the object? What is the horizontal e. How long does it take for the object to have a horizontal position of 21 km? What is the height of the object at this point? f. What is the flight time and range of the object? g. When is the projectile above the ground? What is the horizontal

7 7. A shot-putter throws a shot put at an angle of 40 o, 2 meters above the ground, with an initial velocity of 13.2 m/s. b. What is the projectile s position after 1.25 seconds? c. When does the object reach its maximum height? d. What is the maximum height of the object? What is the horizontal e. When is the shot-put 7 meters above the ground? What is the horizontal f. How long does it take for the object to have a horizontal position of 5 m? What is the height of the object at this point? g. What is the flight time and range of the object? h. A judge standing 2 meters tall is 16 meters from where the shot-put is thrown. Will the shot-put land before the judge, over the judge, or did the judge just have a very bad day?

8 8. A golfer hits a golf ball from the ground at an angle of 48 o with an initial velocity of 32 m/s. b. What is the projectile s position after 3 seconds? c. When does the object reach its maximum height? d. What is the maximum height of the object? What is the horizontal e. When is the golf ball 20 meters above the ground? What is the horizontal f. How long does it take for the object to have a horizontal position of 30 m? What is the height of the object at this point? g. What is the flight time and range of the object? h. Imagine the same conditions except for the fact that there was wind directly in the face of the golfer. If the golf ball landed on a target that was 97 meters away, what must have been the velocity of the wind?

9 9. A baseball is thrown from the stands at an angle of 35 o, 6 meters above the ground, with an initial velocity of 10 m/s. b. What is the projectile s position after 1.5 seconds? c. When does the object reach its maximum height? d. What is the maximum height of the object? What is the horizontal e. When is the baseball 5meters above the ground? What is the horizontal f. How long does it take for the object to have a horizontal position of 10 m? What is the height of the object at this point? g. What is the flight time and range of the object? h. Will the ball reach it to the outfielder 13 meters away?

10 10. A football is punted from 1 meter above the ground with an initial velocity of 25 meters per second. (m/sec) at an angle of 58 o b. Calculate the position of the football after 2 seconds. c. When will the ball be 15 meters above the ground? d. When does the object reach its maximum height? e. What is the maximum height of the object? What is the horizontal f. When will the ball hit the ground? What is the flight time of the ball g. The player receiving the punt stands 55 meters from the punter. Will the player need to move forward or backwards to catch the ball?