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)12 sv = ?

A car moving at 4 m/s speeds up with a constant acceleration of 2.5 m/s² for 12 s. Find its final speed v.

v₀ = 4 m/sa = 2.5 m/s²t = 12 s
v = m/s
2.Easy
t (s)v (m/s)5 sv = ?

A car moving at 14 m/s speeds up with a constant acceleration of 1.5 m/s² for 5 s. Find its final speed v.

v₀ = 14 m/sa = 1.5 m/s²t = 5 s
v = m/s
3.Medium
a = ?s = 900 m

A plane needs a speed of 180 km/h to take off and the usable runway is 900 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 180 km/hs = 900 m
a = m/s²
4.Medium
a = ?s = 1400 m

A plane needs a speed of 300 km/h to take off and the usable runway is 1400 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 300 km/hs = 1400 m
a = m/s²
5.Hard
v₀ = 17 m/s30 m

A ball is thrown straight up at 17 m/s from the edge of a roof 30 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 = 30 mg = 9.81 m/s²
t = s
6.Hard
a = 32 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 32 m/s² for 3 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax the rocket reaches.

a = 32 m/s²t1 = 3 sg = 9.81 m/s²
hmax = m

Answer key

  1. 1. v = 34 m/s
  2. 2. v = 21.5 m/s
  3. 3. a = 1.389 m/s²
  4. 4. a = 2.48 m/s²
  5. 5. t = 4.753 s
  6. 6. hmax = 613.7 m

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