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 40 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 = 40 mg = 9.81 m/s²

t = s

2.Easy

A car moving at 14 m/s speeds up with a constant acceleration of 4 m/s² for 12 s. How far does it travel in that time? Find s.

v₀ = 14 m/sa = 4 m/s²t = 12 s

s = m

3.Medium

A car speeding at a constant 30 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 3.5 m/s². How long does it take the police car to catch up? Find t.

v_car = 30 m/sa_police = 3.5 m/s²v_0,police = 0

t = s

4.Medium

A car driving at 60 km/h brakes with a constant deceleration of 5 m/s² until it stops. How long does braking take? Find t.

v₀ = 60 km/ha = −5 m/s²v = 0

t = s

5.Hard

A stone is dropped from rest into a well. The splash is heard 1.8 s after the stone is released. The speed of sound is 343 m/s; ignore air resistance and use g = 9.81 m/s². Find the depth d of the well.

t_total = 1.8 sv_sound = 343 m/sg = 9.81 m/s²

d = m

6.Hard

A stone is dropped from rest into a well. The splash is heard 3.5 s after the stone is released. The speed of sound is 343 m/s; ignore air resistance and use g = 9.81 m/s². Find the depth d of the well.

t_total = 3.5 sv_sound = 343 m/sg = 9.81 m/s²

d = m

Answer key

1. t = 2.856 s
2. s = 456 m
3. t = 17.14 s
4. t = 3.333 s
5. d = 15.12 m
6. d = 54.73 m

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