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 3.5 m/s² for 4 s. Find its final speed v.

v₀ = 4 m/sa = 3.5 m/s²t = 4 s
v = m/s
2.Easy
t (s)v (m/s)3 sv = ?

A car moving at 0 m/s speeds up with a constant acceleration of 3 m/s² for 3 s. Find its final speed v.

v₀ = 0 m/sa = 3 m/s²t = 3 s
v = m/s
3.Medium
a = 2.75 m/s²s = 1300 m

A plane starts from rest and accelerates uniformly at 2.75 m/s² along a runway. Find its speed v after 1300 m.

v₀ = 0a = 2.75 m/s²s = 1300 m
v = m/s
4.Medium
a = ?s = 1000 m

A plane needs a speed of 300 km/h to take off and the usable runway is 1000 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 300 km/hs = 1000 m
a = m/s²
5.Hard
a = 22 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 22 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. How long after launch does it hit the ground? Find t.

a = 22 m/s²t1 = 3 sg = 9.81 m/s²
t = s
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 3.8 s after the stone is released. The speed of sound is 343 m/s; ignore air resistance and use g = 9.81 m/s². Find the depth d of the well.

ttotal = 3.8 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. v = 18 m/s
  2. 2. v = 9 m/s
  3. 3. v = 84.56 m/s
  4. 4. a = 3.472 m/s²
  5. 5. t = 17.82 s
  6. 6. d = 64.04 m

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