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 2 m/s speeds up with a constant acceleration of 0.5 m/s² for 5 s. Find its final speed v.

v₀ = 2 m/sa = 0.5 m/s²t = 5 s
v = m/s
2.Easy
t (s)v (m/s)18 s10

A train slows down uniformly from 19 m/s to 10 m/s in 18 s. How far does it travel in that time? Find s.

v₀ = 19 m/sv = 10 m/st = 18 s
s = m
3.Medium
t (s)v (m/s)5 s20

A car driving at 72 km/h brakes with a constant deceleration of 4 m/s² until it stops. Find the braking distance s.

v₀ = 72 km/ha = −4 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)t = ?13.89

A car driving at 50 km/h brakes with a constant deceleration of 6.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 50 km/ha = −6.5 m/s²v = 0
t = s
5.Hard
v₀ = 17 m/s15 m

A ball is thrown straight up at 17 m/s from the edge of a roof 15 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 = 17 m/sh₀ = 15 mg = 9.81 m/s²
t = s
6.Hard
t (s)v (m/s)11 s

A tram starts from rest and accelerates at 3 m/s² for 11 s, then runs at constant speed for 5 s, and finally brakes at 3 m/s² until it stops. Find the total distance s between the two stops.

a1 = 3 m/s²t1 = 11 st2 = 5 sa3 = −3 m/s²
s = m

Answer key

  1. 1. v = 4.5 m/s
  2. 2. s = 261 m
  3. 3. s = 50 m
  4. 4. t = 2.137 s
  5. 5. t = 4.195 s
  6. 6. s = 528 m

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