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)8 s18

A car speeds up uniformly from 2 m/s to 18 m/s in 8 s. Find the acceleration a.

v₀ = 2 m/sv = 18 m/st = 8 s
a = m/s²
2.Easy
t (s)v (m/s)11 s44.5

A car moving at 6 m/s speeds up with a constant acceleration of 3.5 m/s² for 11 s. How far does it travel in that time? Find s.

v₀ = 6 m/sa = 3.5 m/s²t = 11 s
s = m
3.Medium
a = 2 m/s²s = 1000 m

A plane starts from rest and accelerates uniformly at 2 m/s² along a runway. Find its speed v after 1000 m.

v₀ = 0a = 2 m/s²s = 1000 m
v = m/s
4.Medium
a = ?s = 2000 m

A plane needs a speed of 200 km/h to take off and the usable runway is 2000 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 200 km/hs = 2000 m
a = m/s²
5.Hard
t (s)v (m/s)9 s

A tram starts from rest and accelerates at 3 m/s² for 9 s, then runs at constant speed for 21 s, and finally brakes at 4.5 m/s² until it stops. Find the total travel time t.

a1 = 3 m/s²t1 = 9 st2 = 21 sa3 = −4.5 m/s²
t = s
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 1.9 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 = 1.9 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. a = 2 m/s²
  2. 2. s = 277.8 m
  3. 3. v = 63.25 m/s
  4. 4. a = 0.7716 m/s²
  5. 5. t = 36 s
  6. 6. d = 16.81 m

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