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 s40.5

A car moving at 2 m/s speeds up with a constant acceleration of 3.5 m/s² for 11 s. How far does it travel in that time? Find s.

v₀ = 2 m/sa = 3.5 m/s²t = 11 s
s = m
2.Easy
t (s)v (m/s)10 sv = ?

A car moving at 16 m/s speeds up with a constant acceleration of 0.5 m/s² for 10 s. Find its final speed v.

v₀ = 16 m/sa = 0.5 m/s²t = 10 s
v = m/s
3.Medium
t (s)v (m/s)t = ?27.78

A car driving at 100 km/h brakes with a constant deceleration of 5 m/s² until it stops. How long does braking take? Find t.

v₀ = 100 km/ha = −5 m/s²v = 0
t = s
4.Medium
a = ?s = 1100 m

A plane needs a speed of 250 km/h to take off and the usable runway is 1100 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 250 km/hs = 1100 m
a = m/s²
5.Hard
v₀ = 17 m/s15 m

A ball is thrown straight up at 17 m/s from the edge of a roof 15 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 = 17 m/sh₀ = 15 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 19 m/s40 m

A ball is thrown straight up at 19 m/s from the edge of a roof 40 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 = 19 m/sh₀ = 40 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 233.8 m
  2. 2. v = 21 m/s
  3. 3. t = 5.556 s
  4. 4. a = 2.192 m/s²
  5. 5. t = 4.195 s
  6. 6. t = 5.387 s

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