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 s12.75

A car speeds up uniformly from 6 m/s to 12.75 m/s in 9 s. Find the acceleration a.

v₀ = 6 m/sv = 12.75 m/st = 9 s
a = m/s²
2.Easy
t (s)v (m/s)8 s8

A car moving at 0 m/s speeds up with a constant acceleration of 1 m/s² for 8 s. How far does it travel in that time? Find s.

v₀ = 0 m/sa = 1 m/s²t = 8 s
s = m
3.Medium
t (s)v (m/s)1 s30

A driver moving at 108 km/h sees an obstacle. Her reaction time is 1 s, after which the car brakes with a constant deceleration of 6 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 108 km/htr = 1 sa = −6 m/s²
d = m
4.Medium
t (s)v (m/s)t = ?25

A car driving at 90 km/h brakes with a constant deceleration of 5.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 90 km/ha = −5.5 m/s²v = 0
t = s
5.Hard
v₀ = 16 m/s25 m

A ball is thrown straight up at 16 m/s from the edge of a roof 25 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 = 25 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 18 m/s40 m

A ball is thrown straight up at 18 m/s from the edge of a roof 40 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 = 18 m/sh₀ = 40 mg = 9.81 m/s²
t = s

Answer key

  1. 1. a = 0.75 m/s²
  2. 2. s = 32 m
  3. 3. d = 105 m
  4. 4. t = 4.545 s
  5. 5. t = 4.416 s
  6. 6. t = 5.229 s

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