STUDY GUIDE FOR FREE FALL AND PROJECTILE MOTION 1. What acceleration do objects on Earth experience during free fall? 2. In the world of free fall, we often change our kinematic equations slightly. Fill in the missing variables in the chart below: Distance Acceleration Time Initial Final velocity Velocity Horizontal x a t Vi Vf Motion Vertical t Vi Vf Motion (Free Fall) 3. When you drop a ball from a building, what is the initial velocity? 4. When you toss a ball up in the air, what is the velocity of the ball at the very top? 5. When you toss a ball up in the air, what is the acceleration of the ball at the very top? 6. What equation gives the velocity of a falling object after a certain amount of time? Hint: This is a "speedometer" equation. 7. If a hammer is dropped from a construction site, how fast is it moving after 5 seconds? 8. What equation gives the distance a falling object has traveled after a certain amount of time? Hint: This is the "odometer" equation. 9. If a hammer is dropped from a construction site, how far has the object traveled after 5 seconds? 10. If you toss a ball up with a speed of 2m/s when leaving your hand, what will the velocity be when it returns to your hand? 11. If you toss a ball up in the air and it takes 5 seconds to reach the highest point, how long will it take to fall back down? 12. A baseball is popped straight up into the air and has a total air time of 6.25 seconds. How high does the ball rise? 13. A skyscraper reaches 370 meters above the street. a) How long does a penny take to hit the street below? b) How fast will the penny be traveling when it strikes the ground? 14. It takes 6.7 s for a ball to reach the ground from the top of a building, how tall is the building? 15. If you toss a ball in the air with a velocity of 5 m/s, how long does it take for the ball to come back to you (total air time)? 16. How high does the ball in the above problem get? 17. A ball is thrown upward with an initial speed of 22 m/s. Find: a) The maximum height reached. b) The velocity at the top. c) The velocity the ball returns at when it hits your hand. d) The time to reach the peak position. e) The time to fall. f) The total air time. 18. Draw a distance-time (x-t) graph for an object that is experiencing free fall (as it moves downward). 19. Draw a velocity-time (v-t) graph for an object that is experiencing free fall (as it moves downward). 20. Draw a distance-time (x-t) graph for an object that has been thrown upward into the air (as it moves upward). 21. Draw an velocity-time (v-t) graph for an object that has been thrown upward into the air (as it moves upward). 22. List the rules of projectile motion: 23. During projectile motion, does the velocity remain constant in the horizontal direction? 24. During projectile motion, does the velocity remain constant in the vertical direction? 25. A cannon shoots a cannonball with a speed of 45 m/s horizontally (zero degrees relative to the ground) from a 100m cliff. How far will the cannon ball go in the xdirection? Solve using the x-y chart. 26. A person throws a penny horizontally off a 100 m tall building. How fast in the horizontal direction must he throw it if his goal is to hit a target sitting 10 meters from the base of the building? Solve using the x-y chart. 27. A log rolls horizontally off a 500 meter high cliff, and lands 1 meter from the base of the cliff. How fast was the log moving (in the x-direction) when it left the cliff?
