Kinematics Problems A runner accelerates from 0 to

Kinematics Problems

• A runner accelerates from 0 to 6. 00 m/s in 3. 00 s. What is the runner’s acceleration?

• A person is walking at 3. 00 m/s when they begin accelerating at 2. 00 m/s 2 for 3. 00 s. What is the person’s new velocity?

• A car accelerates from 80. 0 km/h to 100. km/h in 4. 00 s. What is the value of the car’s acceleration in m/s 2?

• A plane must reach a velocity of 235 km/h in order to take off. If the plane starts from rest on an 825 m long runway, what must be the plane’s acceleration in order to take off?

• A car is traveling at 25. 0 m/s when it accelerates at 1. 00 m/s 2 for 8. 00 s. What is the car’s displacement during this time?

• A car is traveling at 36. 0 km/h when it begins to accelerate. If the car travels 100. m in 5. 00 s during the acceleration, what is the car’s new velocity in km/h?

• A ball is dropped from a height of 1. 50 m. Remembering that acceleration due to gravity equals -9. 81 m/s 2, find the time it takes for the ball to strike the ground and the ball’s velocity as it strikes the ground.

• A ball is thrown into the air with an initial velocity of 12. 0 m/s. Calculate the maximum height reached by the ball above the release point and the time the ball is in the air until it returns to the release point. At what time(s) is the ball 5. 00 m above its release point?

• A rock is thrown into the air with a launch height of 1. 80 m and an initial velocity of 20. 0 m/s. At what time(s) is the ball’s height above the ground 16. 8 m?

• An arrow is shot upward from ear level with an initial velocity of 23. 0 m/s and hits a balloon located 20. 0 m above the arrow’s release point. How much time passes between firing the arrow and hearing the balloon pop on a 15. 0 °C day?