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)8 s12

A car speeds up uniformly from 2 m/s to 12 m/s in 8 s. Find the acceleration a.

v₀ = 2 m/sv = 12 m/st = 8 s
a = m/s²
2.Easy
t (s)v (m/s)9 s19

A train slows down uniformly from 25 m/s to 19 m/s in 9 s. How far does it travel in that time? Find s.

v₀ = 25 m/sv = 19 m/st = 9 s
s = m
3.Medium
t (s)v (m/s)2 s10

A car driving at 36 km/h brakes with a constant deceleration of 5 m/s² until it stops. Find the braking distance s.

v₀ = 36 km/ha = −5 m/s²v = 0
s = m
4.Medium
a = ?s = 1100 m

A plane needs a speed of 280 km/h to take off and the usable runway is 1100 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 280 km/hs = 1100 m
a = m/s²
5.Hard
v₀ = 12 m/s40 m

A ball is thrown straight up at 12 m/s from the edge of a roof 40 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 12 m/sh₀ = 40 mg = 9.81 m/s²
hmax = m
6.Hard
a = 34 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 34 m/s² for 2.5 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². How long after launch does it hit the ground? Find t.

a = 34 m/s²t1 = 2.5 sg = 9.81 m/s²
t = s

Answer key

  1. 1. a = 1.25 m/s²
  2. 2. s = 198 m
  3. 3. s = 10 m
  4. 4. a = 2.75 m/s²
  5. 5. hmax = 47.34 m
  6. 6. t = 21 s

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