Question

Two cars started moving with initial velocities $v$ and $2v$. For the same deceleration, their respective stopping distances are in the ratio

• A. 1:01
• B. 1:02
• C. 1:04
• D. 2:01

Answer 1

Answer: (C)

1:04

Answer 2

For first car $v_{1}^{2} =u^{2}-2 a s$ $0 =v-2 a s_{1}$ $s_{1} =\frac{v}{2 a}$ For second car $v_{2}^{2}=u^{2}-2 a s$ $0=(2 v)^{2}-2 a s_{2}$ $s_{2}=\frac{2 v}{a}$ $\therefore \frac{s_{1}}{s_{2}} =\frac{\frac{v}{2 a}}{\frac{2 v}{a}}$ $\therefore \frac{s_{1}}{s_{2}} =\frac{1}{4}$