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)12 sv = ?

A car moving at 4 m/s speeds up with a constant acceleration of 3 m/s² for 12 s. Find its final speed v.

v₀ = 4 m/sa = 3 m/s²t = 12 s
v = m/s
2.Easy
t (s)v (m/s)6 s31

A car moving at 16 m/s speeds up with a constant acceleration of 2.5 m/s² for 6 s. How far does it travel in that time? Find s.

v₀ = 16 m/sa = 2.5 m/s²t = 6 s
s = m
3.Medium
t (s)v (m/s)2.778 s22.22

A car driving at 80 km/h brakes with a constant deceleration of 8 m/s² until it stops. Find the braking distance s.

v₀ = 80 km/ha = −8 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)3.571 s25

A car driving at 90 km/h brakes with a constant deceleration of 7 m/s² until it stops. Find the braking distance s.

v₀ = 90 km/ha = −7 m/s²v = 0
s = m
5.Hard
a = 24 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 24 m/s² for 2 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax the rocket reaches.

a = 24 m/s²t1 = 2 sg = 9.81 m/s²
hmax = m
6.Hard
t (s)v (m/s)9 s

A tram starts from rest and accelerates at 2 m/s² for 9 s, then runs at constant speed for 22 s, and finally brakes at 2 m/s² until it stops. Find the total travel time t.

a1 = 2 m/s²t1 = 9 st2 = 22 sa3 = −2 m/s²
t = s

Answer key

  1. 1. v = 40 m/s
  2. 2. s = 141 m
  3. 3. s = 30.86 m
  4. 4. s = 44.64 m
  5. 5. hmax = 165.4 m
  6. 6. t = 40 s

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