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 sv = ?

A car moving at 4 m/s speeds up with a constant acceleration of 1 m/s² for 4 s. Find its final speed v.

v₀ = 4 m/sa = 1 m/s²t = 4 s
v = m/s
2.Easy
t (s)v (m/s)9 s25.5

A car moving at 12 m/s speeds up with a constant acceleration of 1.5 m/s² for 9 s. How far does it travel in that time? Find s.

v₀ = 12 m/sa = 1.5 m/s²t = 9 s
s = m
3.Medium
a = ?s = 2100 m

A plane needs a speed of 280 km/h to take off and the usable runway is 2100 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 280 km/hs = 2100 m
a = m/s²
4.Medium
a = 4 m/s²s = 1100 m

A plane starts from rest and accelerates uniformly at 4 m/s² along a runway. Find its speed v after 1100 m.

v₀ = 0a = 4 m/s²s = 1100 m
v = m/s
5.Hard
v₀ = 8 m/s20 m

A ball is thrown straight up at 8 m/s from the edge of a roof 20 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 = 8 m/sh₀ = 20 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 9 m/s40 m

A ball is thrown straight up at 9 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 = 9 m/sh₀ = 40 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 8 m/s
  2. 2. s = 168.8 m
  3. 3. a = 1.44 m/s²
  4. 4. v = 93.81 m/s
  5. 5. t = 2.993 s
  6. 6. t = 3.917 s

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