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 car speeds up uniformly from 6 m/s to 8.25 m/s in 3 s. Find the acceleration a.

v₀ = 6 m/sv = 8.25 m/st = 3 s

a = m/s²

2.Easy

A stone is dropped from rest from a bridge 60 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 = 60 mg = 9.81 m/s²

t = s

3.Medium

A car speeding at a constant 29 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.

v_car = 29 m/sa_police = 2 m/s²v_0,police = 0

d = m

4.Medium

A car driving at 50 km/h brakes with a constant deceleration of 3.5 m/s² until it stops. Find the braking distance s.

v₀ = 50 km/ha = −3.5 m/s²v = 0

s = m

5.Hard

A tram starts from rest and accelerates at 1.5 m/s² for 7 s, then runs at constant speed for 12 s, and finally brakes at 3.5 m/s² until it stops. Find the total distance s between the two stops.

a₁ = 1.5 m/s²t₁ = 7 st₂ = 12 sa₃ = −3.5 m/s²

s = m

6.Hard

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 22 m/s² for 1 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 = 22 m/s²t₁ = 1 sg = 9.81 m/s²

t = s

Answer key

1. a = 0.75 m/s²
2. t = 3.497 s
3. d = 841 m
4. s = 27.56 m
5. s = 178.5 m
6. t = 5.939 s

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