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
h = 75 m

A stone is dropped from rest from a bridge 75 m above the water. Ignore air resistance and use g = 9.81 m/s². How long does it take to reach the water? Find t.

v₀ = 0h = 75 mg = 9.81 m/s²
t = s
2.Easy
t (s)v (m/s)9 s19

A car speeds up uniformly from 10 m/s to 19 m/s in 9 s. Find the acceleration a.

v₀ = 10 m/sv = 19 m/st = 9 s
a = m/s²
3.Medium
t (s)v (m/s)3.077 s20

A car driving at 72 km/h brakes with a constant deceleration of 6.5 m/s² until it stops. Find the braking distance s.

v₀ = 72 km/ha = −6.5 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)0.7 s12.5

A driver moving at 45 km/h sees an obstacle. Her reaction time is 0.7 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 = 0.7 sa = −4.5 m/s²
d = m
5.Hard
v₀ = 20 m/s5 m

A ball is thrown straight up at 20 m/s from the edge of a roof 5 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 = 20 m/sh₀ = 5 mg = 9.81 m/s²
t = s
6.Hard
t (s)v (m/s)7 s

A tram starts from rest and accelerates at 1.5 m/s² for 7 s, then runs at constant speed for 19 s, and finally brakes at 2.5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 1.5 m/s²t1 = 7 st2 = 19 sa3 = −2.5 m/s²
s = m

Answer key

  1. 1. t = 3.91 s
  2. 2. a = 1 m/s²
  3. 3. s = 30.77 m
  4. 4. d = 26.11 m
  5. 5. t = 4.314 s
  6. 6. s = 258.3 m

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