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 s23.25

A car speeds up uniformly from 12 m/s to 23.25 m/s in 5 s. Find the acceleration a.

v₀ = 12 m/sv = 23.25 m/st = 5 s
a = m/s²
2.Easy
t (s)v (m/s)4 sv = ?

A car moving at 8 m/s speeds up with a constant acceleration of 2 m/s² for 4 s. Find its final speed v.

v₀ = 8 m/sa = 2 m/s²t = 4 s
v = m/s
3.Medium
a = 2 m/s²s = 900 m

A plane starts from rest and accelerates uniformly at 2 m/s² along a runway. Find its speed v after 900 m.

v₀ = 0a = 2 m/s²s = 900 m
v = m/s
4.Medium
t (s)v (m/s)t = ?33.33

A car driving at 120 km/h brakes with a constant deceleration of 3.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 120 km/ha = −3.5 m/s²v = 0
t = s
5.Hard
t (s)v (m/s)10 s

A tram starts from rest and accelerates at 1 m/s² for 10 s, then runs at constant speed for 9 s, and finally brakes at 4 m/s² until it stops. Find the total distance s between the two stops.

a1 = 1 m/s²t1 = 10 st2 = 9 sa3 = −4 m/s²
s = m
6.Hard
v₀ = 15 m/s10 m

A ball is thrown straight up at 15 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 = 15 m/sh₀ = 10 mg = 9.81 m/s²
t = s

Answer key

  1. 1. a = 2.25 m/s²
  2. 2. v = 16 m/s
  3. 3. v = 60 m/s
  4. 4. t = 9.524 s
  5. 5. s = 152.5 m
  6. 6. t = 3.621 s

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