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)4 s26

A car moving at 10 m/s speeds up with a constant acceleration of 4 m/s² for 4 s. How far does it travel in that time? Find s.

v₀ = 10 m/sa = 4 m/s²t = 4 s
s = m
2.Easy
t (s)v (m/s)6 s24

A car speeds up uniformly from 12 m/s to 24 m/s in 6 s. Find the acceleration a.

v₀ = 12 m/sv = 24 m/st = 6 s
a = m/s²
3.Medium
a = 2.5 m/s²s = 1600 m

A plane starts from rest and accelerates uniformly at 2.5 m/s² along a runway. Find its speed v after 1600 m.

v₀ = 0a = 2.5 m/s²s = 1600 m
v = m/s
4.Medium
t (s)v (m/s)t = ?25

A car driving at 90 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 90 km/ha = −4.5 m/s²v = 0
t = s
5.Hard
t (s)v (m/s)9 s

A tram starts from rest and accelerates at 3 m/s² for 9 s, then runs at constant speed for 23 s, and finally brakes at 3.5 m/s² until it stops. Find the total travel time t.

a1 = 3 m/s²t1 = 9 st2 = 23 sa3 = −3.5 m/s²
t = s
6.Hard
v₀ = 20 m/s40 m

A ball is thrown straight up at 20 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 = 20 m/sh₀ = 40 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 72 m
  2. 2. a = 2 m/s²
  3. 3. v = 89.44 m/s
  4. 4. t = 5.556 s
  5. 5. t = 39.71 s
  6. 6. t = 5.547 s

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