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 s32

A car speeds up uniformly from 10 m/s to 32 m/s in 8 s. Find the acceleration a.

v₀ = 10 m/sv = 32 m/st = 8 s
a = m/s²
2.Easy
t (s)v (m/s)10 s24

A car moving at 14 m/s speeds up with a constant acceleration of 1 m/s² for 10 s. How far does it travel in that time? Find s.

v₀ = 14 m/sa = 1 m/s²t = 10 s
s = m
3.Medium
t (s)v (m/s)1.3 s27.78

A driver moving at 100 km/h sees an obstacle. Her reaction time is 1.3 s, after which the car brakes with a constant deceleration of 5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 100 km/htr = 1.3 sa = −5 m/s²
d = m
4.Medium
policea = 4.5 m/s²car30 m/s

A car speeding at a constant 30 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 4.5 m/s². How long does it take the police car to catch up? Find t.

vcar = 30 m/sapolice = 4.5 m/s²v0,police = 0
t = s
5.Hard
v₀ = 12 m/s5 m

A ball is thrown straight up at 12 m/s from the edge of a roof 5 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 12 m/sh₀ = 5 mg = 9.81 m/s²
hmax = m
6.Hard
v₀ = 18 m/s10 m

A ball is thrown straight up at 18 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 = 18 m/sh₀ = 10 mg = 9.81 m/s²
t = s

Answer key

  1. 1. a = 2.75 m/s²
  2. 2. s = 190 m
  3. 3. d = 113.3 m
  4. 4. t = 13.33 s
  5. 5. hmax = 12.34 m
  6. 6. t = 4.16 s

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