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 6 m/s speeds up with a constant acceleration of 2.5 m/s² for 4 s. Find its final speed v.

v₀ = 6 m/sa = 2.5 m/s²t = 4 s
v = m/s
2.Easy
t (s)v (m/s)20 s11

A train slows down uniformly from 15 m/s to 11 m/s in 20 s. How far does it travel in that time? Find s.

v₀ = 15 m/sv = 11 m/st = 20 s
s = m
3.Medium
t (s)v (m/s)2.308 s15

A car driving at 54 km/h brakes with a constant deceleration of 6.5 m/s² until it stops. Find the braking distance s.

v₀ = 54 km/ha = −6.5 m/s²v = 0
s = m
4.Medium
a = ?s = 1500 m

A plane needs a speed of 180 km/h to take off and the usable runway is 1500 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 180 km/hs = 1500 m
a = m/s²
5.Hard
a = 34 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 34 m/s² for 1 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 = 34 m/s²t1 = 1 sg = 9.81 m/s²
hmax = m
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 2.9 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 = 2.9 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. v = 16 m/s
  2. 2. s = 260 m
  3. 3. s = 17.31 m
  4. 4. a = 0.8333 m/s²
  5. 5. hmax = 75.92 m
  6. 6. d = 38.15 m

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