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)4 sv = ?

A car moving at 14 m/s speeds up with a constant acceleration of 0.5 m/s² for 4 s. Find its final speed v.

v₀ = 14 m/sa = 0.5 m/s²t = 4 s
v = m/s
2.Easy
t (s)v (m/s)8 s28

A car moving at 4 m/s speeds up with a constant acceleration of 3 m/s² for 8 s. How far does it travel in that time? Find s.

v₀ = 4 m/sa = 3 m/s²t = 8 s
s = m
3.Medium
a = ?s = 900 m

A plane needs a speed of 220 km/h to take off and the usable runway is 900 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 220 km/hs = 900 m
a = m/s²
4.Medium
t (s)v (m/s)6.25 s25

A car driving at 90 km/h brakes with a constant deceleration of 4 m/s² until it stops. Find the braking distance s.

v₀ = 90 km/ha = −4 m/s²v = 0
s = m
5.Hard
v₀ = 5 m/s10 m

A ball is thrown straight up at 5 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 = 5 m/sh₀ = 10 mg = 9.81 m/s²
hmax = m
6.Hard
t (s)v (m/s)8 s

A tram starts from rest and accelerates at 1 m/s² for 8 s, then runs at constant speed for 25 s, and finally brakes at 5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 1 m/s²t1 = 8 st2 = 25 sa3 = −5 m/s²
s = m

Answer key

  1. 1. v = 16 m/s
  2. 2. s = 128 m
  3. 3. a = 2.075 m/s²
  4. 4. s = 78.13 m
  5. 5. hmax = 11.27 m
  6. 6. s = 238.4 m

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