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
h = 80 m

A stone is dropped from rest from a bridge 80 m above the water. Ignore air resistance and use g = 9.81 m/s². How long does it take to reach the water? Find t.

v₀ = 0h = 80 mg = 9.81 m/s²
t = s
2.Easy
t (s)v (m/s)11 s33

A car moving at 0 m/s speeds up with a constant acceleration of 3 m/s² for 11 s. How far does it travel in that time? Find s.

v₀ = 0 m/sa = 3 m/s²t = 11 s
s = m
3.Medium
t (s)v (m/s)2.778 s16.67

A car driving at 60 km/h brakes with a constant deceleration of 6 m/s² until it stops. Find the braking distance s.

v₀ = 60 km/ha = −6 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)3.472 s27.78

A car driving at 100 km/h brakes with a constant deceleration of 8 m/s² until it stops. Find the braking distance s.

v₀ = 100 km/ha = −8 m/s²v = 0
s = m
5.Hard
t (s)v (m/s)12 s

A tram starts from rest and accelerates at 1 m/s² for 12 s, then runs at constant speed for 12 s, and finally brakes at 3 m/s² until it stops. Find the total travel time t.

a1 = 1 m/s²t1 = 12 st2 = 12 sa3 = −3 m/s²
t = s
6.Hard
v₀ = 7 m/s25 m

A ball is thrown straight up at 7 m/s from the edge of a roof 25 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 7 m/sh₀ = 25 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. t = 4.039 s
  2. 2. s = 181.5 m
  3. 3. s = 23.15 m
  4. 4. s = 48.23 m
  5. 5. t = 28 s
  6. 6. hmax = 27.5 m

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