Kinematics worksheet with answers

Free printable Kinematics worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

A stone is dropped from rest from a bridge 75 m above the water. Ignore air resistance and use g = 9.81 m/s². Find its speed v just before it hits the water.

v₀ = 0h = 75 mg = 9.81 m/s²

v = m/s

2.Easy

A car moving at 12 m/s speeds up with a constant acceleration of 1.5 m/s² for 5 s. Find its final speed v.

v₀ = 12 m/sa = 1.5 m/s²t = 5 s

v = m/s

3.Medium

A plane needs a speed of 260 km/h to take off and the usable runway is 1500 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 260 km/hs = 1500 m

a = m/s²

4.Medium

A car speeding at a constant 27 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 3 m/s². How far from its starting point does the police car catch up? Find d.

v_car = 27 m/sa_police = 3 m/s²v_0,police = 0

d = m

5.Hard

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 28 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.

a = 28 m/s²t₁ = 1.5 sg = 9.81 m/s²

h_max = m

6.Hard

A ball is thrown straight up at 14 m/s from the edge of a roof 35 m above the ground. Ignore air resistance and use g = 9.81 m/s². How long after the throw does it hit the ground? Find t.

v₀ = 14 m/sh₀ = 35 mg = 9.81 m/s²

t = s

Answer key

1. v = 38.36 m/s
2. v = 19.5 m/s
3. a = 1.739 m/s²
4. d = 486 m
5. h_max = 121.4 m
6. t = 4.456 s

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