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
t (s)v (m/s)6 s30

A car moving at 6 m/s speeds up with a constant acceleration of 4 m/s² for 6 s. How far does it travel in that time? Find s.

v₀ = 6 m/sa = 4 m/s²t = 6 s
s = m
2.Easy
t (s)v (m/s)4 s10

A car speeds up uniformly from 4 m/s to 10 m/s in 4 s. Find the acceleration a.

v₀ = 4 m/sv = 10 m/st = 4 s
a = m/s²
3.Medium
t (s)v (m/s)t = ?13.89

A car driving at 50 km/h brakes with a constant deceleration of 7 m/s² until it stops. How long does braking take? Find t.

v₀ = 50 km/ha = −7 m/s²v = 0
t = s
4.Medium
policea = 5 m/s²car30 m/s

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 5 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 30 m/sapolice = 5 m/s²v0,police = 0
d = m
5.Hard
v₀ = 16 m/s40 m

A ball is thrown straight up at 16 m/s from the edge of a roof 40 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 = 16 m/sh₀ = 40 mg = 9.81 m/s²
t = s
6.Hard
t (s)v (m/s)4 s

A tram starts from rest and accelerates at 2.5 m/s² for 4 s, then runs at constant speed for 11 s, and finally brakes at 3 m/s² until it stops. Find the total distance s between the two stops.

a1 = 2.5 m/s²t1 = 4 st2 = 11 sa3 = −3 m/s²
s = m

Answer key

  1. 1. s = 108 m
  2. 2. a = 1.5 m/s²
  3. 3. t = 1.984 s
  4. 4. d = 360 m
  5. 5. t = 4.92 s
  6. 6. s = 146.7 m

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