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Question

If a car moves with velocity 'u' and its maximum retardation is 'a', its minimum stopping distance is proportional to

a)u

b)u2

c)u3

d)u1/2

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Solution

The correct answer is option B


As we know, by using 3rd equation of motion we can say,

v²=u²+2as

As the body retards, resulting the body to stop final once its energy drains out. v=0

0=u2+2(a)(s)

s=u22a

sαu2


∴\therefore s is proportional to u²



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