Q 11-02-096JEE MainJEE Main 2022 (25 Jul, Shift 1)Easy
A car is moving with a speed of $150\ \text{km h}^{-1}$ and after applying the brake it will move $27\ \text{m}$ before it stops. If the same car is moving with a speed of one third the reported speed then it will stop after travelling ______ m distance.
Numerical value type. Enter your answer.
Answer: 3
With the same retardation, $s = \dfrac{v^2}{2a}\propto v^2$:
$$s' = 27\times\left(\frac13\right)^2 = 3\ \text{m}$$
Solution by Sreeraj P, M.Sc Physics