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)9 sv = ?

A car moving at 10 m/s speeds up with a constant acceleration of 3 m/s² for 9 s. Find its final speed v.

v₀ = 10 m/sa = 3 m/s²t = 9 s
v = m/s
2.Easy
t (s)v (m/s)7 sv = ?

A car moving at 16 m/s speeds up with a constant acceleration of 1.5 m/s² for 7 s. Find its final speed v.

v₀ = 16 m/sa = 1.5 m/s²t = 7 s
v = m/s
3.Medium
t (s)v (m/s)t = ?16.67

A car driving at 60 km/h brakes with a constant deceleration of 8 m/s² until it stops. How long does braking take? Find t.

v₀ = 60 km/ha = −8 m/s²v = 0
t = 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
a = 24 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 24 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. Find the greatest height hmax the rocket reaches.

a = 24 m/s²t1 = 2.5 sg = 9.81 m/s²
hmax = m
6.Hard
v₀ = 7 m/s15 m

A ball is thrown straight up at 7 m/s from the edge of a roof 15 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 = 7 m/sh₀ = 15 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 37 m/s
  2. 2. v = 26.5 m/s
  3. 3. t = 2.083 s
  4. 4. t = 5.556 s
  5. 5. hmax = 258.5 m
  6. 6. t = 2.602 s

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