A car travels with a uniform velocity of $25 m s^{- 1}$ for 5 s. The brakes are then applied and the car is uniformly retarded and comes to rest in further 10 s. Find the acceleration.

5 m s^{- 2}

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- 2.5 m s^{- 2}

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25 m s^{- 2}

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10 m s^{- 2}

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Solution

The correct option is C $- 2.5 m s^{- 2}$
For retardation process, $u = 25 m / s, v = 0, t = 10 s$
$v = u + a t$
$0 = 25 + a \times 10$
$a = - 2.5 m / s^{2}$

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A car travels with a uniform velocity of 25 $m s^{- 1}$ for 5 s. The brakes are then applied and the car is uniformly retarded and comes to rest in further 10 s.Find:(i) the distance which the car travels before the brakes are applied,(ii) the retardation,and (iii) the distance travelled by the car after applying the brakes.