Speeds of two identical cars are $u$ and $4 u$ at the specific instant. The ratio of the respective…

Speeds of two identical cars are $u$ and $4 u$ at the specific instant. The ratio of the respective distances in which the two cars are stopped from that instant is
  1. 1 : 1
  2. 1 : 4
  3. 1 : 8
  4. 1 : 16

Solution

Use $u^2=2$ as. a is same for both cases $ \mathrm{s}_1=\mathrm{u}^2 / 2 \mathrm{a} ; \mathrm{s}_2=16 \mathrm{u}^2 / 2 \mathrm{a}=16 \mathrm{~s}_1 \Rightarrow \mathrm{s}_1: \mathrm{s}_2=1: 16 $

Asked in: JEE Main 2002

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