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)11 s12

A train slows down uniformly from 20 m/s to 12 m/s in 11 s. How far does it travel in that time? Find s.

v₀ = 20 m/sv = 12 m/st = 11 s
s = m
2.Easy
v = ?h = 30 m

A stone is dropped from rest from a bridge 30 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 = 30 mg = 9.81 m/s²
v = m/s
3.Medium
t (s)v (m/s)t = ?20

A car driving at 72 km/h brakes with a constant deceleration of 6.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 72 km/ha = −6.5 m/s²v = 0
t = s
4.Medium
a = ?s = 1600 m

A plane needs a speed of 250 km/h to take off and the usable runway is 1600 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 250 km/hs = 1600 m
a = m/s²
5.Hard
t (s)v (m/s)4 s

A tram starts from rest and accelerates at 2.5 m/s² for 4 s, then runs at constant speed for 17 s, and finally brakes at 2 m/s² until it stops. Find the total distance s between the two stops.

a1 = 2.5 m/s²t1 = 4 st2 = 17 sa3 = −2 m/s²
s = m
6.Hard
v₀ = 20 m/s25 m

A ball is thrown straight up at 20 m/s from the edge of a roof 25 m above the ground. Ignore air resistance and use g = 9.81 m/s². How long after the throw does it hit the ground? Find t.

v₀ = 20 m/sh₀ = 25 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 176 m
  2. 2. v = 24.26 m/s
  3. 3. t = 3.077 s
  4. 4. a = 1.507 m/s²
  5. 5. s = 215 m
  6. 6. t = 5.081 s

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