Kinematics worksheet with answers

A car moving at 2 m/s speeds up with a constant acceleration of 3 m/s² for 10 s. Find its final speed v.

A car moving at 2 m/s speeds up with a constant acceleration of 1 m/s² for 4 s. How far does it travel in that time? Find s.

A car speeding at a constant 15 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 2 m/s². How far from its starting point does the police car catch up? Find d.

A driver moving at 100 km/h sees an obstacle. Her reaction time is 0.9 s, after which the car brakes with a constant deceleration of 4 m/s². Find the total stopping distance d from the moment she sees the obstacle.

Ball A is dropped from rest from a height of 15 m. At the same instant ball B is thrown straight up from the ground directly below at 18 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 24 m/s² for 1.5 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². Find the greatest height h_max the rocket reaches.