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)12 sv = ?

A car moving at 12 m/s speeds up with a constant acceleration of 3 m/s² for 12 s. Find its final speed v.

v₀ = 12 m/sa = 3 m/s²t = 12 s
v = m/s
2.Easy
t (s)v (m/s)14 s2

A train slows down uniformly from 18 m/s to 2 m/s in 14 s. How far does it travel in that time? Find s.

v₀ = 18 m/sv = 2 m/st = 14 s
s = m
3.Medium
policea = 5.5 m/s²car26 m/s

A car speeding at a constant 26 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 5.5 m/s². How long does it take the police car to catch up? Find t.

vcar = 26 m/sapolice = 5.5 m/s²v0,police = 0
t = s
4.Medium
t (s)v (m/s)2.083 s12.5

A car driving at 45 km/h brakes with a constant deceleration of 6 m/s² until it stops. Find the braking distance s.

v₀ = 45 km/ha = −6 m/s²v = 0
s = m
5.Hard
v₀ = 13 m/s10 m

A ball is thrown straight up at 13 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 = 13 m/sh₀ = 10 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. Find the greatest height hmax above the ground.

v₀ = 18 m/sh₀ = 40 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. v = 48 m/s
  2. 2. s = 140 m
  3. 3. t = 9.455 s
  4. 4. s = 13.02 m
  5. 5. t = 3.273 s
  6. 6. hmax = 56.51 m

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