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)10 s10

A car speeds up uniformly from 5 m/s to 10 m/s in 10 s. Find the acceleration a.

v₀ = 5 m/sv = 10 m/st = 10 s
a = m/s²
2.Easy
t (s)v (m/s)6 s12

A train slows down uniformly from 30 m/s to 12 m/s in 6 s. How far does it travel in that time? Find s.

v₀ = 30 m/sv = 12 m/st = 6 s
s = m
3.Medium
t (s)v (m/s)t = ?12.5

A car driving at 45 km/h brakes with a constant deceleration of 3 m/s² until it stops. How long does braking take? Find t.

v₀ = 45 km/ha = −3 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)4.938 s22.22

A car driving at 80 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. Find the braking distance s.

v₀ = 80 km/ha = −4.5 m/s²v = 0
s = m
5.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. Find the greatest height hmax above the ground.

v₀ = 18 m/sh₀ = 10 mg = 9.81 m/s²
hmax = m
6.Hard
t (s)v (m/s)5 s

A tram starts from rest and accelerates at 3 m/s² for 5 s, then runs at constant speed for 30 s, and finally brakes at 3.5 m/s² until it stops. Find the total travel time t.

a1 = 3 m/s²t1 = 5 st2 = 30 sa3 = −3.5 m/s²
t = s

Answer key

  1. 1. a = 0.5 m/s²
  2. 2. s = 126 m
  3. 3. t = 4.167 s
  4. 4. s = 54.87 m
  5. 5. hmax = 26.51 m
  6. 6. t = 39.29 s

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