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 s18

A train slows down uniformly from 25 m/s to 18 m/s in 4 s. How far does it travel in that time? Find s.

v₀ = 25 m/sv = 18 m/st = 4 s
s = m
2.Easy
t (s)v (m/s)3 s11.5

A car moving at 4 m/s speeds up with a constant acceleration of 2.5 m/s² for 3 s. How far does it travel in that time? Find s.

v₀ = 4 m/sa = 2.5 m/s²t = 3 s
s = m
3.Medium
t (s)v (m/s)t = ?27.78

A car driving at 100 km/h brakes with a constant deceleration of 7 m/s² until it stops. How long does braking take? Find t.

v₀ = 100 km/ha = −7 m/s²v = 0
t = s
4.Medium
policea = 5 m/s²car29 m/s

A car speeding at a constant 29 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 5 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 29 m/sapolice = 5 m/s²v0,police = 0
d = m
5.Hard
t (s)v (m/s)7 s

A tram starts from rest and accelerates at 1.5 m/s² for 7 s, then runs at constant speed for 20 s, and finally brakes at 2.5 m/s² until it stops. Find the total travel time t.

a1 = 1.5 m/s²t1 = 7 st2 = 20 sa3 = −2.5 m/s²
t = s
6.Hard
v₀ = 14 m/s5 m

A ball is thrown straight up at 14 m/s from the edge of a roof 5 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 = 14 m/sh₀ = 5 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 86 m
  2. 2. s = 23.25 m
  3. 3. t = 3.968 s
  4. 4. d = 336.4 m
  5. 5. t = 31.2 s
  6. 6. t = 3.175 s

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