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 = 20 m

A stone is dropped from rest from a bridge 20 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 = 20 mg = 9.81 m/s²
v = m/s
2.Easy
t (s)v (m/s)10 sv = ?

A car moving at 10 m/s speeds up with a constant acceleration of 3.5 m/s² for 10 s. Find its final speed v.

v₀ = 10 m/sa = 3.5 m/s²t = 10 s
v = m/s
3.Medium
t (s)v (m/s)t = ?10

A car driving at 36 km/h brakes with a constant deceleration of 7 m/s² until it stops. How long does braking take? Find t.

v₀ = 36 km/ha = −7 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)1.5 s15

A driver moving at 54 km/h sees an obstacle. Her reaction time is 1.5 s, after which the car brakes with a constant deceleration of 7.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 54 km/htr = 1.5 sa = −7.5 m/s²
d = m
5.Hard
v₀ = 8 m/s30 m

A ball is thrown straight up at 8 m/s from the edge of a roof 30 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 = 8 m/sh₀ = 30 mg = 9.81 m/s²
t = s
6.Hard
t (s)v (m/s)8 s

A tram starts from rest and accelerates at 1 m/s² for 8 s, then runs at constant speed for 25 s, and finally brakes at 2 m/s² until it stops. Find the total distance s between the two stops.

a1 = 1 m/s²t1 = 8 st2 = 25 sa3 = −2 m/s²
s = m

Answer key

  1. 1. v = 19.81 m/s
  2. 2. v = 45 m/s
  3. 3. t = 1.429 s
  4. 4. d = 37.5 m
  5. 5. t = 3.42 s
  6. 6. s = 248 m

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