Name Period Date Projectile Motion Worksheet 1 For each problem, list what you need to know and what you are given. Next, choose the appropriate kinematic equation, solve it algebraically, and only then substitute numbers! 1. A body falls freely from rest. Find: a. its displacement at t 3.0 s c. the time required for it to fall 300. m b. the time for it to reach a speed of 25 m s d. its speed after falling 70. m 2. A ball is dropped from rest at a height of 80. m above the ground. a. What is its speed just as it hits the b. How long does it take for it to reach the ground? ground? Projectile Motion Worksheet 1 page 2 3. A marble dropped from a bridge strikes the water in 6.0 s . Calculate: a. the speed with which it strikes the b. the height of the bridge. water. Free Fall with v o 0 4. A body is thrown downward with an initial speed of 20. m . s a. Draw a force b. What is its acceleration c. What is its displacement diagram of the body after it is thrown? after 4.0 s ? after it is thrown. Explain. c. What time is required for it to reach a speed of 50. m ? s d. What is its speed after falling 100. m ? 5. A student throws his worthless lab partner off a 120. m high bridge with an initial downward speed of 10. m . s a. How fast is he going at the moment b. How long does it take the deadbeat to hit of impact? the ground below? (Use the answer to a.) Projectile Motion Worksheet 1 page 3 6. When a kid drops a rock off the edge of a cliff, it takes 4.0 s to reach the ground below. When he throws the rock down, it strikes the ground in 3.0 s . a. How tall is the cliff? b. What initial speed did he give the rock? 7. A ball is thrown vertically upward from the ground with an initial speed of 15 m . s a. Draw a force b. What is the acceleration c. Describe the velocity of diagram of the ball of the ball on its way the ball on its way up. on its way up. up? How do you know? d. Draw a force diagram of the ball at its maximum height. e. What is the ball’s velocity and its acceleration at its maximum height? f. What is its maximum height? g. How long does it take the ball to reach its maximum height? Projectile Motion Worksheet 1 page 4 8. A baseball is thrown straight up with an initial velocity of 20. m . s a. Using the vertical position reference line to the right, draw a motion map for the ball from just after you release it to just before you catch it at the same height. Use position dots, velocity arrows and acceleration arrows. Make sure one of the position dots is at the maximum height so that symmetry can be used. b. What is the total displacement of the ball from just after you release it to just before you catch it? c. Using the answer from (b) and other givens, calculate the total time of flight of the ball from just after you release it to just before you catch it. d. What is the final velocity of the ball just before you catch it? How does the final velocity of the ball just before you catch it compare to the initial velocity of the ball just after you release it? e. Using the answer from (d) and other givens, calculate the total time of flight of the ball from just after you release it to just before you catch it. y