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
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
- [JEE MAIN 2021]
- A
$\sqrt{\frac{ v ^{2}+ u ^{2}}{2}}$
- B
$\frac{ v - u }{2}$
- C
$\frac{ u + v }{2}$
- D
$\sqrt{\frac{ v ^{2}- u ^{2}}{2}}$
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- [JEE MAIN 2024]