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)10 sv = ?

A car moving at 10 m/s speeds up with a constant acceleration of 1.5 m/s² for 10 s. Find its final speed v.

v₀ = 10 m/sa = 1.5 m/s²t = 10 s
v = m/s
2.Easy
v = ?h = 10 m

A stone is dropped from rest from a bridge 10 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 = 10 mg = 9.81 m/s²
v = m/s
3.Medium
policea = 5.5 m/s²car34 m/s

A car speeding at a constant 34 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 5.5 m/s². How long does it take the police car to catch up? Find t.

vcar = 34 m/sapolice = 5.5 m/s²v0,police = 0
t = s
4.Medium
t (s)v (m/s)1.4 s12.5

A driver moving at 45 km/h sees an obstacle. Her reaction time is 1.4 s, after which the car brakes with a constant deceleration of 4.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 45 km/htr = 1.4 sa = −4.5 m/s²
d = m
5.Hard
a = 20 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 20 m/s² for 3 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 = 20 m/s²t1 = 3 sg = 9.81 m/s²
hmax = m
6.Hard
AB: 17 m/s40 m

Ball A is dropped from rest from a height of 40 m. At the same instant ball B is thrown straight up from the ground directly below at 17 m/s. Ignore air resistance and use g = 9.81 m/s². At what height y above the ground do they meet?

H = 40 mv0B = 17 m/sg = 9.81 m/s²
y = m

Answer key

  1. 1. v = 25 m/s
  2. 2. v = 14.01 m/s
  3. 3. t = 12.36 s
  4. 4. d = 34.86 m
  5. 5. hmax = 273.5 m
  6. 6. y = 12.84 m

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