## Braking Distance

It is the distance traversed by a vehicle between the points, at which brakes are applied and the point at which the vehicle comes to stop.

### How To Calculate Braking Distance

Braking distance may be obtained by equating the work done in stopping the vehicle and the **kinetic energy**. If v is the **design speed** of the vehicle in m/sec, f is the coefficient of friction, W is the total weight of the vehicle and g is the acceleration due to **gravity** = **9.81 meter** per second square, I is the braking distance then:

kinetic energy at design speed = [latex] \frac{mv^{2}}{2} = \frac{Wv^{2}}{2g} [/latex]

Work done against friction force in stopping the vehicle = f.W. I

Hence, f.W.I = [latex] \frac{Wv^{2}}{2g} [/latex]

or, I = [latex] \frac{v^{2}}{2gf} [/latex]

IfÂ V is the speed of the vehicle in kilometre per hour(Kmph), then

When (V) speed in Kmph then, v =0.278V