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 s14.5

A car moving at 4 m/s speeds up with a constant acceleration of 1.5 m/s² for 7 s. How far does it travel in that time? Find s.

v₀ = 4 m/sa = 1.5 m/s²t = 7 s
s = m
2.Easy
t (s)v (m/s)3 s12

A car speeds up uniformly from 6 m/s to 12 m/s in 3 s. Find the acceleration a.

v₀ = 6 m/sv = 12 m/st = 3 s
a = m/s²
3.Medium
t (s)v (m/s)t = ?30

A car driving at 108 km/h brakes with a constant deceleration of 6.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 108 km/ha = −6.5 m/s²v = 0
t = s
4.Medium
a = ?s = 2400 m

A plane needs a speed of 260 km/h to take off and the usable runway is 2400 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 260 km/hs = 2400 m
a = m/s²
5.Hard
v₀ = 20 m/s5 m

A ball is thrown straight up at 20 m/s from the edge of a roof 5 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 20 m/sh₀ = 5 mg = 9.81 m/s²
hmax = m
6.Hard
v₀ = 19 m/s5 m

A ball is thrown straight up at 19 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 = 19 m/sh₀ = 5 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 64.75 m
  2. 2. a = 2 m/s²
  3. 3. t = 4.615 s
  4. 4. a = 1.087 m/s²
  5. 5. hmax = 25.39 m
  6. 6. t = 4.121 s

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