Explain what happens to braking distance if speed doubles

• 1

  doubling speed increase the kinetic energy
• 2

  kinetic energy increases by a factor of 4
• 3

  work done to stop the car increases
• 4

  work done increases by a factor of 4
• 5

  work done is force × distance and braking force is constant
• 6

  so if work done increases by 4 then the braking distance must increase by 4