A car is moving with a velocity of 40 m/s . The brakes are applied to retard it at restof 2m/s^2 . What will be it's velocity after 5 sec applying the brakes?

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Solution

Initial velocity u = 40 m/s

Deceleration produced by braking ,

a = - 2 m/s²
(Negative sign because braking opposses motion)

Time for which brakes are applied

t = 5 s

Velocity at the end of 5 s braking can be found using the relation;

v = u + a t

v = 40 - 2 × 5 = 40 - 10 = 30 m/s

So after 5 s of braking the car shall have a velocity = 30 m/s.

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