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JEE Main 2021 (25 Feb, Shift 1) · Equations of Kinematics

Equations of Kinematics question from JEE Main 2021 (25 Feb, Shift 1)

Q24JEE Main 2021 · 25 FEB · SHIFT 1Easy

Equations of Kinematics

An engine of a train, moving with uniform acceleration, passes the signal-post with velocity u and the last compartment with velocity v. The velocity with which middle point of the train passes the signal post is:

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Answer: (d)

Let train length be $L$ : $v^2 = u^2 + 2aL$ .
Middle point passes after the train moves $\frac{L}{2}$ : $v_m^2 = u^2 + 2a\frac{L}{2} = u^2 + \frac{v^2 - u^2}{2}$
$v_m = \sqrt{\frac{u^2 + v^2}{2}}$ . So the answer is (d).

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