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Question: Speeds of two identical cars are u and 4u at a specific instant. The ratio of the respective distanc...

Speeds of two identical cars are u and 4u at a specific instant. The ratio of the respective distances in which the two cars are stopped from that instant is –

A

1 : 1

B

1 : 4

C

1 : 8

D

1 : 16

Answer

1 : 16

Explanation

Solution

From third equation of motion,

0 = u2 – 2aS

̃ S = u22a\frac{u^{2}}{2a}= u22μg\frac{u^{2}}{2\mu g}

̃ S1S2\frac{S_{1}}{S_{2}}= (u1u2)2\left( \frac{u_{1}}{u_{2}} \right)^{2}= (u4u)2\left( \frac{u}{4u} \right)^{2}= 1/16