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)6 s14

A car speeds up uniformly from 2 m/s to 14 m/s in 6 s. Find the acceleration a.

v₀ = 2 m/sv = 14 m/st = 6 s
a = m/s²
2.Easy
t (s)v (m/s)4 s22

A car moving at 16 m/s speeds up with a constant acceleration of 1.5 m/s² for 4 s. How far does it travel in that time? Find s.

v₀ = 16 m/sa = 1.5 m/s²t = 4 s
s = m
3.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 6.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 90 km/htr = 0.7 sa = −6.5 m/s²
d = m
4.Medium
t (s)v (m/s)t = ?12.5

A car driving at 45 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 45 km/ha = −4.5 m/s²v = 0
t = s
5.Hard
t (s)v (m/s)10 s

A tram starts from rest and accelerates at 2 m/s² for 10 s, then runs at constant speed for 14 s, and finally brakes at 2 m/s² until it stops. Find the total distance s between the two stops.

a1 = 2 m/s²t1 = 10 st2 = 14 sa3 = −2 m/s²
s = m
6.Hard
v₀ = 17 m/s10 m

A ball is thrown straight up at 17 m/s from the edge of a roof 10 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 17 m/sh₀ = 10 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. a = 2 m/s²
  2. 2. s = 76 m
  3. 3. d = 65.58 m
  4. 4. t = 2.778 s
  5. 5. s = 480 m
  6. 6. hmax = 24.73 m

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