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 s12

A car starts from rest and speeds up uniformly to 12 m/s in 4 s. Find the acceleration a.

v₀ = 0 m/sv = 12 m/st = 4 s
a = m/s²
2.Easy
t (s)v (m/s)10 sv = ?

A car moving at 6 m/s speeds up with a constant acceleration of 2 m/s² for 10 s. Find its final speed v.

v₀ = 6 m/sa = 2 m/s²t = 10 s
v = m/s
3.Medium
t (s)v (m/s)2.778 s12.5

A car driving at 45 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. Find the braking distance s.

v₀ = 45 km/ha = −4.5 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)t = ?10

A car driving at 36 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 36 km/ha = −4.5 m/s²v = 0
t = s
5.Hard
t (s)v (m/s)5 s

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

a1 = 3 m/s²t1 = 5 st2 = 11 sa3 = −3 m/s²
t = s
6.Hard
v₀ = 18 m/s35 m

A ball is thrown straight up at 18 m/s from the edge of a roof 35 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 18 m/sh₀ = 35 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. a = 3 m/s²
  2. 2. v = 26 m/s
  3. 3. s = 17.36 m
  4. 4. t = 2.222 s
  5. 5. t = 21 s
  6. 6. hmax = 51.51 m

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