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 s8

A car speeds up uniformly from 4 m/s to 8 m/s in 8 s. Find the acceleration a.

v₀ = 4 m/sv = 8 m/st = 8 s
a = m/s²
2.Easy
t (s)v (m/s)7 sv = ?

A car moving at 2 m/s speeds up with a constant acceleration of 4 m/s² for 7 s. Find its final speed v.

v₀ = 2 m/sa = 4 m/s²t = 7 s
v = m/s
3.Medium
t (s)v (m/s)5.714 s20

A car driving at 72 km/h brakes with a constant deceleration of 3.5 m/s² until it stops. Find the braking distance s.

v₀ = 72 km/ha = −3.5 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)3.333 s16.67

A car driving at 60 km/h brakes with a constant deceleration of 5 m/s² until it stops. Find the braking distance s.

v₀ = 60 km/ha = −5 m/s²v = 0
s = m
5.Hard
v₀ = 7 m/s30 m

A ball is thrown straight up at 7 m/s from the edge of a roof 30 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 7 m/sh₀ = 30 mg = 9.81 m/s²
hmax = m
6.Hard
a = 38 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 38 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 = 38 m/s²t1 = 3 sg = 9.81 m/s²
hmax = m

Answer key

  1. 1. a = 0.5 m/s²
  2. 2. v = 30 m/s
  3. 3. s = 57.14 m
  4. 4. s = 27.78 m
  5. 5. hmax = 32.5 m
  6. 6. hmax = 833.4 m

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