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)7 sv = ?

A car moving at 6 m/s speeds up with a constant acceleration of 0.5 m/s² for 7 s. Find its final speed v.

v₀ = 6 m/sa = 0.5 m/s²t = 7 s
v = m/s
2.Easy
t (s)v (m/s)11 s17

A car moving at 6 m/s speeds up with a constant acceleration of 1 m/s² for 11 s. How far does it travel in that time? Find s.

v₀ = 6 m/sa = 1 m/s²t = 11 s
s = m
3.Medium
t (s)v (m/s)2.857 s10

A car driving at 36 km/h brakes with a constant deceleration of 3.5 m/s² until it stops. Find the braking distance s.

v₀ = 36 km/ha = −3.5 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)0.7 s25

A driver moving at 90 km/h sees an obstacle. Her reaction time is 0.7 s, after which the car brakes with a constant deceleration of 7 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 90 km/htr = 0.7 sa = −7 m/s²
d = m
5.Hard
t (s)v (m/s)7 s

A tram starts from rest and accelerates at 2 m/s² for 7 s, then runs at constant speed for 10 s, and finally brakes at 2 m/s² until it stops. Find the total distance s between the two stops.

a1 = 2 m/s²t1 = 7 st2 = 10 sa3 = −2 m/s²
s = m
6.Hard
v₀ = 8 m/s15 m

A ball is thrown straight up at 8 m/s from the edge of a roof 15 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 8 m/sh₀ = 15 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. v = 9.5 m/s
  2. 2. s = 126.5 m
  3. 3. s = 14.29 m
  4. 4. d = 62.14 m
  5. 5. s = 238 m
  6. 6. hmax = 18.26 m

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