A moving car has kinetic energy. To bring the car to rest, you must decrease its kinetic energy to zero. The brakes do this work by applying a force over a distance. What effect would doubling the speed have on the braking distance?

The braking distance would be 4 times greater

Explanation:

A moving car has kinetic energy. To bring the car to rest, you must decrease its kinetic energy to zero. The brakes do this work by applying a force over a distance. What effect would doubling the speed have on the braking distance?

kinetic energy is the energy possessed by a body due to motion. the unit is in joules

m=mass of the car,

mass is he quantity of matter in a body

v=velocity possess by the car, velocity is change in displacement per time

ke=1/2mv^2

when V is doubled

we have

Ke2=1/2m (2V) ^2

Ke2=1/2m4v^2

Ke2=4 (1/2mv^2)

Ke2=4ke

The braking distance would be 4 times greater