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)5 sv = ?

A car moving at 6 m/s speeds up with a constant acceleration of 3 m/s² for 5 s. Find its final speed v.

v₀ = 6 m/sa = 3 m/s²t = 5 s
v = m/s
2.Easy
t (s)v (m/s)17 s9

A train slows down uniformly from 18 m/s to 9 m/s in 17 s. How far does it travel in that time? Find s.

v₀ = 18 m/sv = 9 m/st = 17 s
s = m
3.Medium
t (s)v (m/s)0.6 s22.22

A driver moving at 80 km/h sees an obstacle. Her reaction time is 0.6 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 = 80 km/htr = 0.6 sa = −5.5 m/s²
d = m
4.Medium
a = ?s = 1600 m

A plane needs a speed of 200 km/h to take off and the usable runway is 1600 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 200 km/hs = 1600 m
a = m/s²
5.Hard
v₀ = 17 m/s20 m

A ball is thrown straight up at 17 m/s from the edge of a roof 20 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 = 20 mg = 9.81 m/s²
hmax = m
6.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

Answer key

  1. 1. v = 21 m/s
  2. 2. s = 229.5 m
  3. 3. d = 58.23 m
  4. 4. a = 0.9645 m/s²
  5. 5. hmax = 34.73 m
  6. 6. t = 4.768 s

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