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)7 s20.75

A car speeds up uniformly from 5 m/s to 20.75 m/s in 7 s. Find the acceleration a.

v₀ = 5 m/sv = 20.75 m/st = 7 s
a = m/s²
2.Easy
t (s)v (m/s)7 s25.25

A car speeds up uniformly from 6 m/s to 25.25 m/s in 7 s. Find the acceleration a.

v₀ = 6 m/sv = 25.25 m/st = 7 s
a = m/s²
3.Medium
t (s)v (m/s)1.5 s30

A driver moving at 108 km/h sees an obstacle. Her reaction time is 1.5 s, after which the car brakes with a constant deceleration of 7 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 108 km/htr = 1.5 sa = −7 m/s²
d = m
4.Medium
a = ?s = 800 m

A plane needs a speed of 200 km/h to take off and the usable runway is 800 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 200 km/hs = 800 m
a = m/s²
5.Hard
v₀ = 15 m/s40 m

A ball is thrown straight up at 15 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 = 15 m/sh₀ = 40 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 15 m/s10 m

A ball is thrown straight up at 15 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 = 15 m/sh₀ = 10 mg = 9.81 m/s²
t = s

Answer key

  1. 1. a = 2.25 m/s²
  2. 2. a = 2.75 m/s²
  3. 3. d = 109.3 m
  4. 4. a = 1.929 m/s²
  5. 5. t = 4.768 s
  6. 6. t = 3.621 s

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