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 sv = ?

A car moving at 8 m/s speeds up with a constant acceleration of 2.5 m/s² for 5 s. Find its final speed v.

v₀ = 8 m/sa = 2.5 m/s²t = 5 s
v = m/s
2.Easy
t (s)v (m/s)4 s20

A car speeds up uniformly from 10 m/s to 20 m/s in 4 s. Find the acceleration a.

v₀ = 10 m/sv = 20 m/st = 4 s
a = m/s²
3.Medium
t (s)v (m/s)3.968 s27.78

A car driving at 100 km/h brakes with a constant deceleration of 7 m/s² until it stops. Find the braking distance s.

v₀ = 100 km/ha = −7 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)t = ?13.89

A car driving at 50 km/h brakes with a constant deceleration of 4 m/s² until it stops. How long does braking take? Find t.

v₀ = 50 km/ha = −4 m/s²v = 0
t = s
5.Hard
v₀ = 6 m/s5 m

A ball is thrown straight up at 6 m/s from the edge of a roof 5 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 6 m/sh₀ = 5 mg = 9.81 m/s²
hmax = m
6.Hard
t (s)v (m/s)9 s

A tram starts from rest and accelerates at 1.5 m/s² for 9 s, then runs at constant speed for 18 s, and finally brakes at 5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 1.5 m/s²t1 = 9 st2 = 18 sa3 = −5 m/s²
s = m

Answer key

  1. 1. v = 20.5 m/s
  2. 2. a = 2.5 m/s²
  3. 3. s = 55.11 m
  4. 4. t = 3.472 s
  5. 5. hmax = 6.835 m
  6. 6. s = 322 m

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