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
v = ?h = 45 m

A stone is dropped from rest from a bridge 45 m above the water. Ignore air resistance and use g = 9.81 m/s². Find its speed v just before it hits the water.

v₀ = 0h = 45 mg = 9.81 m/s²
v = m/s
2.Easy
t (s)v (m/s)11 sv = ?

A car moving at 10 m/s speeds up with a constant acceleration of 1 m/s² for 11 s. Find its final speed v.

v₀ = 10 m/sa = 1 m/s²t = 11 s
v = m/s
3.Medium
t (s)v (m/s)3.472 s27.78

A car driving at 100 km/h brakes with a constant deceleration of 8 m/s² until it stops. Find the braking distance s.

v₀ = 100 km/ha = −8 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)t = ?12.5

A car driving at 45 km/h brakes with a constant deceleration of 5 m/s² until it stops. How long does braking take? Find t.

v₀ = 45 km/ha = −5 m/s²v = 0
t = s
5.Hard
t (s)v (m/s)9 s

A tram starts from rest and accelerates at 2.5 m/s² for 9 s, then runs at constant speed for 16 s, and finally brakes at 3 m/s² until it stops. Find the total distance s between the two stops.

a1 = 2.5 m/s²t1 = 9 st2 = 16 sa3 = −3 m/s²
s = m
6.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 1.5 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 = 1.5 sg = 9.81 m/s²
hmax = m

Answer key

  1. 1. v = 29.71 m/s
  2. 2. v = 21 m/s
  3. 3. s = 48.23 m
  4. 4. t = 2.5 s
  5. 5. s = 545.6 m
  6. 6. hmax = 93.06 m

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