Question

Speed 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

Answer: (D)

1 : 16

Answer 2

$\mathbf{S}\mathbf{\propto}\mathbf{u}^{\mathbf{2}}\mathbf{\Rightarrow}\frac{\mathbf{S}_{\mathbf{1}}}{\mathbf{S}_{\mathbf{2}}}\mathbf{=}\left( \frac{\mathbf{1}}{\mathbf{4}} \right)^{\mathbf{2}}\mathbf{=}\frac{\mathbf{1}}{\mathbf{16}}$