A car moving with a velocity of 18 kmph is brought to rest in a distance of 0.5 km by applying brakes. Find its retardation?

A car moving with a velocity of 18 kmph is brought to rest in a distance of 0.5 km by applying brakes. Find its retardation?
Solution:

 

Initial Velocity of the car = u = 18 kmph = 5 ms
-1,

Final Velocity of the car = v = 0,

Distance travelled = S = 0.5 km = 500m

We have, v
2 = u
2 + 2as.

             0 = 5
2 + 2

×

a

×
500

               = 25 + 1000a.