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)9 s39.5

A car moving at 8 m/s speeds up with a constant acceleration of 3.5 m/s² for 9 s. How far does it travel in that time? Find s.

v₀ = 8 m/sa = 3.5 m/s²t = 9 s
s = m
2.Easy
t (s)v (m/s)7 s10.5

A car moving at 0 m/s speeds up with a constant acceleration of 1.5 m/s² for 7 s. How far does it travel in that time? Find s.

v₀ = 0 m/sa = 1.5 m/s²t = 7 s
s = m
3.Medium
t (s)v (m/s)2.5 s15

A car driving at 54 km/h brakes with a constant deceleration of 6 m/s² until it stops. Find the braking distance s.

v₀ = 54 km/ha = −6 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)t = ?22.22

A car driving at 80 km/h brakes with a constant deceleration of 6 m/s² until it stops. How long does braking take? Find t.

v₀ = 80 km/ha = −6 m/s²v = 0
t = s
5.Hard
t (s)v (m/s)10 s

A tram starts from rest and accelerates at 1.5 m/s² for 10 s, then runs at constant speed for 10 s, and finally brakes at 3.5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 1.5 m/s²t1 = 10 st2 = 10 sa3 = −3.5 m/s²
s = m
6.Hard
t (s)v (m/s)4 s

A tram starts from rest and accelerates at 1.5 m/s² for 4 s, then runs at constant speed for 9 s, and finally brakes at 2 m/s² until it stops. Find the total distance s between the two stops.

a1 = 1.5 m/s²t1 = 4 st2 = 9 sa3 = −2 m/s²
s = m

Answer key

  1. 1. s = 213.8 m
  2. 2. s = 36.75 m
  3. 3. s = 18.75 m
  4. 4. t = 3.704 s
  5. 5. s = 257.1 m
  6. 6. s = 75 m

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