A body is thrown vertically upwards with v

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A body is thrown vertically upwards with velocity $u$. The distance travelled by it in the fifth and the sixth seconds are equal. The velocity $u$ is given by.........$m/s$ ($g = 9.8\, m/s^{2}$)

A

$24.5 $

B

$49$

C

$73.5$

D

$98$

A body is thrown vertically upwards with velocity $u$. The distance travelled by it in the fifth and the sixth seconds are equal. The velocity $u$ is given by.........$m/s$ ($g = 9.8\, m/s^{2}$)

The given condition is possible only when body is at its highest position after $5 $ seconds

It means time of ascent = $5\, sec$

and time of flight $T = \frac{{2u}}{g} = 10$ $⇒$ $u = 50\;m/s$