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 moving at 14 m/s speeds up with a constant acceleration of 2 m/s² for 6 s. How far does it travel in that time? Find s.

v₀ = 14 m/sa = 2 m/s²t = 6 s

s = m

2.Easy

A train slows down uniformly from 22 m/s to 5 m/s in 6 s. How far does it travel in that time? Find s.

v₀ = 22 m/sv = 5 m/st = 6 s

s = m

3.Medium

A driver moving at 90 km/h sees an obstacle. Her reaction time is 1.2 s, after which the car brakes with a constant deceleration of 4.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 90 km/ht_r = 1.2 sa = −4.5 m/s²

d = m

4.Medium

A car driving at 72 km/h brakes with a constant deceleration of 5.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 72 km/ha = −5.5 m/s²v = 0

t = s

5.Hard

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 26 m/s² for 3 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 = 26 m/s²t₁ = 3 sg = 9.81 m/s²

h_max = m

6.Hard

A tram starts from rest and accelerates at 1 m/s² for 10 s, then runs at constant speed for 7 s, and finally brakes at 5 m/s² until it stops. Find the total distance s between the two stops.

a₁ = 1 m/s²t₁ = 10 st₂ = 7 sa₃ = −5 m/s²

s = m

Answer key

1. s = 120 m
2. s = 81 m
3. d = 99.44 m
4. t = 3.636 s
5. h_max = 427.1 m
6. s = 130 m

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