PHYSICS 20 KINEMATICS. Projectile Motion in a Straight Line

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1 Projectile Motion in a Straight Line 1. An object is thrown horizontally at a velocity of 10.0 m/s from the top of a building 90.0m. Calculate the distance from the base of the building that the object will hit the ground. 2. An object is thrown horizontally at a velocity of 25.0 m/s from the top of a 1.50 x 10 2 m building. Calculate the distance from the base of the building that the object will hit the ground. (42.8 m) 3. An object is thrown horizontally at a velocity of 18.0 m/s from the top of a cliff. If the object hit the ground m from the base of the cliff, how high is the cliff? (1.38 x 10 2 m) 4. An object is thrown horizontally at a velocity of 20.0 m/s from the top of a cliff. If the object hit the ground 48.0 m from the base of the cliff, how high is the cliff? (151 m) 5. An object is thrown horizontally from the top of a building at a velocity of 15.0 m/s. If the object takes 5.50 s to reach the ground, how high is the building? (28.3 m) 6. An object is thrown horizontally from the top of a cliff at a velocity of 20.0 m/s. If the object takes 4.20 s to reach the ground, how far from the base of the cliff did the object hit the ground? (148 m) (84.0 m)

2 7. The dots below represent the position of a projectile every 0.10 s as it is projected horizontally east along an inclined air table a. Analyze the motion by completing the following table. b. Using your horizontal velocity, draw a velocity-time graph c. Using your vertical velocity, draw a velocity-time graph.

3 d. Using your graphs, find the horizontal e. Using your graphs find the vertical 8. An object is thrown horizontally from the top of a 85.0 m building. If the object hits the ground 67.8 m from the base of the building, what was the horizontal velocity of the object? (16.3 m/s)

4 Projectile Motion at an Angle 9. An object is thrown from the ground into the air at an angle of 40.0 from the horizontal at a velocity of 18.0 m/s. How far will this object travel horizontally? 10. An object is thrown from the ground into the air at an angle of 20.0 from the horizontal at a velocity of 15.0 m/s. How far will this object travel horizontally. (32.5 m) 11. An object is thrown into the air with a velocity of 25.0 m/s at an angle of 32.0 to the horizontal. How far will this object travel horizontally? (14.7m) 12. An object Is thrown from the ground into the air with a velocity of 20.0 m/s at an angle of 27.0 to the horizontal. What is the maximum height reached by this object? (57.3 m) 13. An object is thrown from the ground into the air at an angle of 30.0 to the horizontal. If this object reaches a maximum height of 5.75 m, at what velocity was it thrown? (4.20m) 14. An object is projected from the ground into the air at an angle of 35.0 to the horizontal. If this object is in the air for 9.26 s, at what velocity was it thrown? (10.6 m/s) (79.2 m/s)

5 15. An object is thrown from the ground into the air at a velocity of 25.0 m/s at an unknown angle to the horizontal. If this object travels 25.0 m horizontally and was in the air for 2.15 s, at what angle was this object thrown? 16. An object is thrown into the air with a velocity of 30.0 m/s at an angle of 35.0 to the horizontal. How far will this object travel horizontally? (86.2 m) (62.3 ) 17. The dots below represent the position of a projectile every 0.10 s as it id projected at an angle up an inclined air table. a. Analyze this motion by completing the following data table.

6 18. Using your horizontal velocity, draw a velocitytime graph. a. Using your vertical velocity, draw a velocity-time graph. b. Using your graphs, find the horizontal c. Using your graphs find the vertical 19. A ball rolls off an incline, as shown, at a velocity of 22 m/s. How far from B will the ball hit the floor? 20. An object is projected from the top of a building at an angle of 28, as shown in the diagram, at a velocity of 15 m/s. If the object hits the ground 32 m from the base of the building, how high is the building? (11 m) (12 m)

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