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 s6

A car starts from rest and speeds up uniformly to 6 m/s in 8 s. Find the acceleration a.

v₀ = 0 m/sv = 6 m/st = 8 s
a = m/s²
2.Easy
t (s)v (m/s)3 s3.75

A car starts from rest and speeds up uniformly to 3.75 m/s in 3 s. Find the acceleration a.

v₀ = 0 m/sv = 3.75 m/st = 3 s
a = m/s²
3.Medium
t (s)v (m/s)1.2 s12.5

A driver moving at 45 km/h sees an obstacle. Her reaction time is 1.2 s, after which the car brakes with a constant deceleration of 5.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 45 km/htr = 1.2 sa = −5.5 m/s²
d = m
4.Medium
t (s)v (m/s)1.2 s13.89

A driver moving at 50 km/h sees an obstacle. Her reaction time is 1.2 s, after which the car brakes with a constant deceleration of 4.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 50 km/htr = 1.2 sa = −4.5 m/s²
d = m
5.Hard
v₀ = 17 m/s10 m

A ball is thrown straight up at 17 m/s from the edge of a roof 10 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 17 m/sh₀ = 10 mg = 9.81 m/s²
hmax = m
6.Hard
v₀ = 14 m/s10 m

A ball is thrown straight up at 14 m/s from the edge of a roof 10 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 = 14 m/sh₀ = 10 mg = 9.81 m/s²
t = s

Answer key

  1. 1. a = 0.75 m/s²
  2. 2. a = 1.25 m/s²
  3. 3. d = 29.2 m
  4. 4. d = 38.1 m
  5. 5. hmax = 24.73 m
  6. 6. t = 3.446 s

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