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)8 s20

A car moving at 8 m/s speeds up with a constant acceleration of 1.5 m/s² for 8 s. How far does it travel in that time? Find s.

v₀ = 8 m/sa = 1.5 m/s²t = 8 s
s = m
2.Easy
t (s)v (m/s)7 s12.5

A car speeds up uniformly from 2 m/s to 12.5 m/s in 7 s. Find the acceleration a.

v₀ = 2 m/sv = 12.5 m/st = 7 s
a = m/s²
3.Medium
a = ?s = 1500 m

A plane needs a speed of 220 km/h to take off and the usable runway is 1500 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 220 km/hs = 1500 m
a = m/s²
4.Medium
t (s)v (m/s)2.778 s12.5

A car driving at 45 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. Find the braking distance s.

v₀ = 45 km/ha = −4.5 m/s²v = 0
s = m
5.Hard
t (s)v (m/s)11 s

A tram starts from rest and accelerates at 2 m/s² for 11 s, then runs at constant speed for 8 s, and finally brakes at 3 m/s² until it stops. Find the total travel time t.

a1 = 2 m/s²t1 = 11 st2 = 8 sa3 = −3 m/s²
t = s
6.Hard
a = 34 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 34 m/s² for 1 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². How long after launch does it hit the ground? Find t.

a = 34 m/s²t1 = 1 sg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 112 m
  2. 2. a = 1.5 m/s²
  3. 3. a = 1.245 m/s²
  4. 4. s = 17.36 m
  5. 5. t = 26.33 s
  6. 6. t = 8.4 s

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