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)5 sv = ?

A car moving at 2 m/s speeds up with a constant acceleration of 3.5 m/s² for 5 s. Find its final speed v.

v₀ = 2 m/sa = 3.5 m/s²t = 5 s
v = m/s
2.Easy
v = ?h = 40 m

A stone is dropped from rest from a bridge 40 m above the water. Ignore air resistance and use g = 9.81 m/s². Find its speed v just before it hits the water.

v₀ = 0h = 40 mg = 9.81 m/s²
v = m/s
3.Medium
t (s)v (m/s)t = ?33.33

A car driving at 120 km/h brakes with a constant deceleration of 7.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 120 km/ha = −7.5 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)2.5 s12.5

A car driving at 45 km/h brakes with a constant deceleration of 5 m/s² until it stops. Find the braking distance s.

v₀ = 45 km/ha = −5 m/s²v = 0
s = m
5.Hard
v₀ = 9 m/s10 m

A ball is thrown straight up at 9 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 = 9 m/sh₀ = 10 mg = 9.81 m/s²
hmax = m
6.Hard
t (s)v (m/s)10 s

A tram starts from rest and accelerates at 3 m/s² for 10 s, then runs at constant speed for 9 s, and finally brakes at 2.5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 3 m/s²t1 = 10 st2 = 9 sa3 = −2.5 m/s²
s = m

Answer key

  1. 1. v = 19.5 m/s
  2. 2. v = 28.01 m/s
  3. 3. t = 4.444 s
  4. 4. s = 15.63 m
  5. 5. hmax = 14.13 m
  6. 6. s = 600 m

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