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JEE Main 2022 (25 Jul, Shift 1) · Equations of Kinematics

Equations of Kinematics question from JEE Main 2022 (25 Jul, Shift 1)

Q21JEE Main 2022 · 25 JUL · SHIFT 1Easy

Equations of Kinematics

A car is moving with speed of $150\text{ km/h}$ 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 answer type. Work it out, then open the answer.

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Answer: 3

For the same retardation, $s \propto u^2$ .
Speed becomes $\frac{1}{3}$ , so distance becomes $\frac{1}{9}$ .
$s' = \frac{27}{9} = 3\text{ m}$

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