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 50 m above the water. Ignore air resistance and use g = 9.81 m/s². How long does it take to reach the water? Find t.

v₀ = 0h = 50 mg = 9.81 m/s²

t = s

2.Easy

A stone is dropped from rest from a bridge 80 m above the water. Ignore air resistance and use g = 9.81 m/s². How long does it take to reach the water? Find t.

v₀ = 0h = 80 mg = 9.81 m/s²

t = s

3.Medium

A plane needs a speed of 250 km/h to take off and the usable runway is 800 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 250 km/hs = 800 m

a = m/s²

4.Medium

A car speeding at a constant 28 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 5 m/s². How long does it take the police car to catch up? Find t.

v_car = 28 m/sa_police = 5 m/s²v_0,police = 0

t = s

5.Hard

A ball is thrown straight up at 20 m/s from the edge of a roof 10 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 = 20 m/sh₀ = 10 mg = 9.81 m/s²

t = s

6.Hard

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 34 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. How long after launch does it hit the ground? Find t.

a = 34 m/s²t₁ = 1.5 sg = 9.81 m/s²

t = s

Answer key

1. t = 3.193 s
2. t = 4.039 s
3. a = 3.014 m/s²
4. t = 11.2 s
5. t = 4.528 s
6. t = 12.6 s

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