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)10 sv = ?

A car moving at 6 m/s speeds up with a constant acceleration of 2.5 m/s² for 10 s. Find its final speed v.

v₀ = 6 m/sa = 2.5 m/s²t = 10 s
v = m/s
2.Easy
t (s)v (m/s)10 sv = ?

A car moving at 2 m/s speeds up with a constant acceleration of 3 m/s² for 10 s. Find its final speed v.

v₀ = 2 m/sa = 3 m/s²t = 10 s
v = m/s
3.Medium
a = 2.75 m/s²s = 1900 m

A plane starts from rest and accelerates uniformly at 2.75 m/s² along a runway. Find its speed v after 1900 m.

v₀ = 0a = 2.75 m/s²s = 1900 m
v = m/s
4.Medium
policea = 2.5 m/s²car23 m/s

A car speeding at a constant 23 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 2.5 m/s². How long does it take the police car to catch up? Find t.

vcar = 23 m/sapolice = 2.5 m/s²v0,police = 0
t = s
5.Hard
v₀ = 10 m/s40 m

A ball is thrown straight up at 10 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 = 10 m/sh₀ = 40 mg = 9.81 m/s²
t = s
6.Hard
t (s)v (m/s)11 s

A tram starts from rest and accelerates at 3 m/s² for 11 s, then runs at constant speed for 21 s, and finally brakes at 5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 3 m/s²t1 = 11 st2 = 21 sa3 = −5 m/s²
s = m

Answer key

  1. 1. v = 31 m/s
  2. 2. v = 32 m/s
  3. 3. v = 102.2 m/s
  4. 4. t = 18.4 s
  5. 5. t = 4.052 s
  6. 6. s = 983.4 m

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