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)5 s16

A car speeds up uniformly from 6 m/s to 16 m/s in 5 s. Find the acceleration a.

v₀ = 6 m/sv = 16 m/st = 5 s
a = m/s²
2.Easy
t (s)v (m/s)6 sv = ?

A car moving at 0 m/s speeds up with a constant acceleration of 2 m/s² for 6 s. Find its final speed v.

v₀ = 0 m/sa = 2 m/s²t = 6 s
v = m/s
3.Medium
t (s)v (m/s)3.968 s13.89

A car driving at 50 km/h brakes with a constant deceleration of 3.5 m/s² until it stops. Find the braking distance s.

v₀ = 50 km/ha = −3.5 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)t = ?10

A car driving at 36 km/h brakes with a constant deceleration of 7 m/s² until it stops. How long does braking take? Find t.

v₀ = 36 km/ha = −7 m/s²v = 0
t = s
5.Hard
t (s)v (m/s)4 s

A tram starts from rest and accelerates at 3 m/s² for 4 s, then runs at constant speed for 22 s, and finally brakes at 5 m/s² until it stops. Find the total travel time t.

a1 = 3 m/s²t1 = 4 st2 = 22 sa3 = −5 m/s²
t = s
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 4.4 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 = 4.4 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. a = 2 m/s²
  2. 2. v = 12 m/s
  3. 3. s = 27.56 m
  4. 4. t = 1.429 s
  5. 5. t = 28.4 s
  6. 6. d = 84.61 m

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