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 s35

A car moving at 14 m/s speeds up with a constant acceleration of 3 m/s² for 7 s. How far does it travel in that time? Find s.

v₀ = 14 m/sa = 3 m/s²t = 7 s
s = m
2.Easy
t (s)v (m/s)3 sv = ?

A car moving at 2 m/s speeds up with a constant acceleration of 1 m/s² for 3 s. Find its final speed v.

v₀ = 2 m/sa = 1 m/s²t = 3 s
v = m/s
3.Medium
t (s)v (m/s)0.7 s22.22

A driver moving at 80 km/h sees an obstacle. Her reaction time is 0.7 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 = 80 km/htr = 0.7 sa = −6 m/s²
d = m
4.Medium
a = 3.5 m/s²s = 1000 m

A plane starts from rest and accelerates uniformly at 3.5 m/s² along a runway. Find its speed v after 1000 m.

v₀ = 0a = 3.5 m/s²s = 1000 m
v = m/s
5.Hard
t (s)v (m/s)11 s

A tram starts from rest and accelerates at 2 m/s² for 11 s, then runs at constant speed for 15 s, and finally brakes at 3.5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 2 m/s²t1 = 11 st2 = 15 sa3 = −3.5 m/s²
s = m
6.Hard
v₀ = 14 m/s35 m

A ball is thrown straight up at 14 m/s from the edge of a roof 35 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 = 14 m/sh₀ = 35 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 171.5 m
  2. 2. v = 5 m/s
  3. 3. d = 56.71 m
  4. 4. v = 83.67 m/s
  5. 5. s = 520.1 m
  6. 6. t = 4.456 s

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