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)9 sv = ?

A car moving at 4 m/s speeds up with a constant acceleration of 0.5 m/s² for 9 s. Find its final speed v.

v₀ = 4 m/sa = 0.5 m/s²t = 9 s
v = m/s
2.Easy
t (s)v (m/s)5 s17

A car speeds up uniformly from 2 m/s to 17 m/s in 5 s. Find the acceleration a.

v₀ = 2 m/sv = 17 m/st = 5 s
a = m/s²
3.Medium
t (s)v (m/s)3.03 s16.67

A car driving at 60 km/h brakes with a constant deceleration of 5.5 m/s² until it stops. Find the braking distance s.

v₀ = 60 km/ha = −5.5 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)1.1 s22.22

A driver moving at 80 km/h sees an obstacle. Her reaction time is 1.1 s, after which the car brakes with a constant deceleration of 4 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 80 km/htr = 1.1 sa = −4 m/s²
d = m
5.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 2.4 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 = 2.4 svsound = 343 m/sg = 9.81 m/s²
d = m
6.Hard
t (s)v (m/s)10 s

A tram starts from rest and accelerates at 1 m/s² for 10 s, then runs at constant speed for 27 s, and finally brakes at 5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 1 m/s²t1 = 10 st2 = 27 sa3 = −5 m/s²
s = m

Answer key

  1. 1. v = 8.5 m/s
  2. 2. a = 3 m/s²
  3. 3. s = 25.25 m
  4. 4. d = 86.17 m
  5. 5. d = 26.47 m
  6. 6. s = 330 m

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