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)15 s9

A train slows down uniformly from 24 m/s to 9 m/s in 15 s. How far does it travel in that time? Find s.

v₀ = 24 m/sv = 9 m/st = 15 s
s = m
2.Easy
h = 40 m

A stone is dropped from rest from a bridge 40 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 = 40 mg = 9.81 m/s²
t = s
3.Medium
t (s)v (m/s)2.381 s16.67

A car driving at 60 km/h brakes with a constant deceleration of 7 m/s² until it stops. Find the braking distance s.

v₀ = 60 km/ha = −7 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)1.3 s25

A driver moving at 90 km/h sees an obstacle. Her reaction time is 1.3 s, after which the car brakes with a constant deceleration of 6 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 90 km/htr = 1.3 sa = −6 m/s²
d = m
5.Hard
t (s)v (m/s)11 s

A tram starts from rest and accelerates at 1 m/s² for 11 s, then runs at constant speed for 16 s, and finally brakes at 2.5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 1 m/s²t1 = 11 st2 = 16 sa3 = −2.5 m/s²
s = m
6.Hard
v₀ = 16 m/s15 m

A ball is thrown straight up at 16 m/s from the edge of a roof 15 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 = 16 m/sh₀ = 15 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 247.5 m
  2. 2. t = 2.856 s
  3. 3. s = 19.84 m
  4. 4. d = 84.58 m
  5. 5. s = 260.7 m
  6. 6. t = 4.022 s

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