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)3 s11

A car moving at 2 m/s speeds up with a constant acceleration of 3 m/s² for 3 s. How far does it travel in that time? Find s.

v₀ = 2 m/sa = 3 m/s²t = 3 s
s = m
2.Easy
t (s)v (m/s)4 s16

A car moving at 10 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 = 10 m/sa = 1.5 m/s²t = 4 s
s = m
3.Medium
t (s)v (m/s)t = ?12.5

A car driving at 45 km/h brakes with a constant deceleration of 7 m/s² until it stops. How long does braking take? Find t.

v₀ = 45 km/ha = −7 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)t = ?22.22

A car driving at 80 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 80 km/ha = −4.5 m/s²v = 0
t = s
5.Hard
t (s)v (m/s)6 s

A tram starts from rest and accelerates at 2.5 m/s² for 6 s, then runs at constant speed for 15 s, and finally brakes at 5 m/s² until it stops. Find the total travel time t.

a1 = 2.5 m/s²t1 = 6 st2 = 15 sa3 = −5 m/s²
t = s
6.Hard
v₀ = 9 m/s15 m

A ball is thrown straight up at 9 m/s from the edge of a roof 15 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 9 m/sh₀ = 15 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. s = 19.5 m
  2. 2. s = 52 m
  3. 3. t = 1.786 s
  4. 4. t = 4.938 s
  5. 5. t = 24 s
  6. 6. hmax = 19.13 m

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