Question:
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:
Correct Option: 1
Solution:
$\left(\mathrm{v}^{\prime}\right)^{2}=\mathrm{u}^{2}+2 \mathrm{ad}$'
$v^{2}=\left(v^{\prime}\right)^{2}+2 a d$
solving, we get
$\mathrm{v}^{\prime}=\sqrt{\frac{\mathrm{v}^{2}+\mathrm{u}^{2}}{2}}$
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