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)4 s11

A car speeds up uniformly from 4 m/s to 11 m/s in 4 s. Find the acceleration a.

v₀ = 4 m/sv = 11 m/st = 4 s
a = m/s²
2.Easy
t (s)v (m/s)9 s21

A car moving at 12 m/s speeds up with a constant acceleration of 1 m/s² for 9 s. How far does it travel in that time? Find s.

v₀ = 12 m/sa = 1 m/s²t = 9 s
s = m
3.Medium
t (s)v (m/s)t = ?30

A car driving at 108 km/h brakes with a constant deceleration of 6 m/s² until it stops. How long does braking take? Find t.

v₀ = 108 km/ha = −6 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)2.222 s16.67

A car driving at 60 km/h brakes with a constant deceleration of 7.5 m/s² until it stops. Find the braking distance s.

v₀ = 60 km/ha = −7.5 m/s²v = 0
s = m
5.Hard
v₀ = 16 m/s35 m

A ball is thrown straight up at 16 m/s from the edge of a roof 35 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 = 16 m/sh₀ = 35 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 11 m/s35 m

A ball is thrown straight up at 11 m/s from the edge of a roof 35 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 11 m/sh₀ = 35 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. a = 1.75 m/s²
  2. 2. s = 148.5 m
  3. 3. t = 5 s
  4. 4. s = 18.52 m
  5. 5. t = 4.761 s
  6. 6. hmax = 41.17 m

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