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)11 sv = ?

A car moving at 12 m/s speeds up with a constant acceleration of 0.5 m/s² for 11 s. Find its final speed v.

v₀ = 12 m/sa = 0.5 m/s²t = 11 s
v = m/s
2.Easy
t (s)v (m/s)7 sv = ?

A car moving at 14 m/s speeds up with a constant acceleration of 2 m/s² for 7 s. Find its final speed v.

v₀ = 14 m/sa = 2 m/s²t = 7 s
v = m/s
3.Medium
t (s)v (m/s)t = ?30

A car driving at 108 km/h brakes with a constant deceleration of 7 m/s² until it stops. How long does braking take? Find t.

v₀ = 108 km/ha = −7 m/s²v = 0
t = s
4.Medium
a = 3.75 m/s²s = 1300 m

A plane starts from rest and accelerates uniformly at 3.75 m/s² along a runway. Find its speed v after 1300 m.

v₀ = 0a = 3.75 m/s²s = 1300 m
v = m/s
5.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. How long after the throw does it hit the ground? Find t.

v₀ = 19 m/sh₀ = 35 mg = 9.81 m/s²
t = s
6.Hard
AB: 30 m/s40 m

Ball A is dropped from rest from a height of 40 m. At the same instant ball B is thrown straight up from the ground directly below at 30 m/s. Ignore air resistance and use g = 9.81 m/s². At what height y above the ground do they meet?

H = 40 mv0B = 30 m/sg = 9.81 m/s²
y = m

Answer key

  1. 1. v = 17.5 m/s
  2. 2. v = 28 m/s
  3. 3. t = 4.286 s
  4. 4. v = 98.74 m/s
  5. 5. t = 5.236 s
  6. 6. y = 31.28 m

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