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)4 s23

A car speeds up uniformly from 12 m/s to 23 m/s in 4 s. Find the acceleration a.

v₀ = 12 m/sv = 23 m/st = 4 s
a = m/s²
2.Easy
t (s)v (m/s)4 s14

A train slows down uniformly from 27 m/s to 14 m/s in 4 s. How far does it travel in that time? Find s.

v₀ = 27 m/sv = 14 m/st = 4 s
s = m
3.Medium
t (s)v (m/s)t = ?10

A car driving at 36 km/h brakes with a constant deceleration of 4 m/s² until it stops. How long does braking take? Find t.

v₀ = 36 km/ha = −4 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)2.667 s20

A car driving at 72 km/h brakes with a constant deceleration of 7.5 m/s² until it stops. Find the braking distance s.

v₀ = 72 km/ha = −7.5 m/s²v = 0
s = m
5.Hard
AB: 20 m/s60 m

Ball A is dropped from rest from a height of 60 m. At the same instant ball B is thrown straight up from the ground directly below at 20 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 60 mv0B = 20 m/sg = 9.81 m/s²
t = s
6.Hard
AB: 26 m/s60 m

Ball A is dropped from rest from a height of 60 m. At the same instant ball B is thrown straight up from the ground directly below at 26 m/s. Ignore air resistance and use g = 9.81 m/s². At what height y above the ground do they meet?

H = 60 mv0B = 26 m/sg = 9.81 m/s²
y = m

Answer key

  1. 1. a = 2.75 m/s²
  2. 2. s = 82 m
  3. 3. t = 2.5 s
  4. 4. s = 26.67 m
  5. 5. t = 3 s
  6. 6. y = 33.88 m

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