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)7 s42

A car moving at 14 m/s speeds up with a constant acceleration of 4 m/s² for 7 s. How far does it travel in that time? Find s.

v₀ = 14 m/sa = 4 m/s²t = 7 s
s = m
2.Easy
t (s)v (m/s)4 s13

A car speeds up uniformly from 10 m/s to 13 m/s in 4 s. Find the acceleration a.

v₀ = 10 m/sv = 13 m/st = 4 s
a = m/s²
3.Medium
t (s)v (m/s)t = ?12.5

A car driving at 45 km/h brakes with a constant deceleration of 6.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 45 km/ha = −6.5 m/s²v = 0
t = s
4.Medium
a = 3 m/s²s = 1400 m

A plane starts from rest and accelerates uniformly at 3 m/s² along a runway. Find its speed v after 1400 m.

v₀ = 0a = 3 m/s²s = 1400 m
v = m/s
5.Hard
a = 40 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 40 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 hmax the rocket reaches.

a = 40 m/s²t1 = 3 sg = 9.81 m/s²
hmax = m
6.Hard
v₀ = 15 m/s5 m

A ball is thrown straight up at 15 m/s from the edge of a roof 5 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 = 15 m/sh₀ = 5 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 196 m
  2. 2. a = 0.75 m/s²
  3. 3. t = 1.923 s
  4. 4. v = 91.65 m/s
  5. 5. hmax = 913.9 m
  6. 6. t = 3.361 s

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