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 sv = ?

A car moving at 0 m/s speeds up with a constant acceleration of 3.5 m/s² for 8 s. Find its final speed v.

v₀ = 0 m/sa = 3.5 m/s²t = 8 s
v = m/s
2.Easy
t (s)v (m/s)6 s36

A car moving at 12 m/s speeds up with a constant acceleration of 4 m/s² for 6 s. How far does it travel in that time? Find s.

v₀ = 12 m/sa = 4 m/s²t = 6 s
s = m
3.Medium
t (s)v (m/s)4.615 s30

A car driving at 108 km/h brakes with a constant deceleration of 6.5 m/s² until it stops. Find the braking distance s.

v₀ = 108 km/ha = −6.5 m/s²v = 0
s = m
4.Medium
policea = 4.5 m/s²car34 m/s

A car speeding at a constant 34 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 = 34 m/sapolice = 4.5 m/s²v0,police = 0
t = s
5.Hard
v₀ = 11 m/s10 m

A ball is thrown straight up at 11 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 = 11 m/sh₀ = 10 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 19 m/s35 m

A ball is thrown straight up at 19 m/s from the edge of a roof 35 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 19 m/sh₀ = 35 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. v = 28 m/s
  2. 2. s = 144 m
  3. 3. s = 69.23 m
  4. 4. t = 15.11 s
  5. 5. t = 2.937 s
  6. 6. hmax = 53.4 m

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