An automobile travelling at 50 k m h - 1 , can be stopped at a distance of 40 m by applying brakes. If the same automobile is travelling at 90 k m h - 1 , all other conditions remaining the same and assuming no skidding, the minimum stopping distance in metre is

Question

An automobile travelling at 50 k m h - 1 , can be stopped at a distance of 40 m by applying brakes. If the same automobile is travelling at 90 k m h - 1 , all other conditions remaining the same and assuming no skidding, the minimum stopping distance in metre is, 72, 92 . 5, 102 . 6, 129 . 6

MARKS App · Accepted Answer

According to kinematic equation, v 2 = u 2 + 2 a s Therefore, the stopping distance is, s = v 2 − u 2 2 a Therefore, s ∝ u 2 a s v = 0 a n d a = c o n s t a n t ⇒ s 2 s 1 = ( u 2 u 1 ) 2 Therefore, new stopping distance is, s 2 = s 1 ( u 2 u 1 ) 2 s 2 = ( 40 ) ( 90 50 ) 2 s 2 = 129.6 m

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