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 sv = ?

A car moving at 10 m/s speeds up with a constant acceleration of 3.5 m/s² for 6 s. Find its final speed v.

v₀ = 10 m/sa = 3.5 m/s²t = 6 s
v = m/s
2.Easy
t (s)v (m/s)5 s4

A train slows down uniformly from 14 m/s to 4 m/s in 5 s. How far does it travel in that time? Find s.

v₀ = 14 m/sv = 4 m/st = 5 s
s = m
3.Medium
t (s)v (m/s)4.762 s33.33

A car driving at 120 km/h brakes with a constant deceleration of 7 m/s² until it stops. Find the braking distance s.

v₀ = 120 km/ha = −7 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)1.1 s10

A driver moving at 36 km/h sees an obstacle. Her reaction time is 1.1 s, after which the car brakes with a constant deceleration of 5.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 36 km/htr = 1.1 sa = −5.5 m/s²
d = m
5.Hard
v₀ = 13 m/s30 m

A ball is thrown straight up at 13 m/s from the edge of a roof 30 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 13 m/sh₀ = 30 mg = 9.81 m/s²
hmax = m
6.Hard
t (s)v (m/s)11 s

A tram starts from rest and accelerates at 3 m/s² for 11 s, then runs at constant speed for 28 s, and finally brakes at 5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 3 m/s²t1 = 11 st2 = 28 sa3 = −5 m/s²
s = m

Answer key

  1. 1. v = 31 m/s
  2. 2. s = 45 m
  3. 3. s = 79.37 m
  4. 4. d = 20.09 m
  5. 5. hmax = 38.61 m
  6. 6. s = 1214 m

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