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The XI^(th) class students of ALLEN desi...

The `XI^(th)` class students of ALLEN designed a rocket. The rocket was launched from cycle stand of ALLEN straight up into the air. At `t = 0`, the rocket is at `y = 0` with `V_(y) (t = 0) = 0`. The velocity of the rocket is given by: `V_(y) = (24t - 3t^(2))m//s` for `0 le t le t_(b)` where `t_(b)` is the time at which fuel burns out. vertically upward direction is taken as positive. `(g = 10m//s^(2))`
The time taken for rocket to reach its maximum height is

A

4 sec

B

8 sec

C

8.8 sec

D

9.6 sec

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The XI^(th) class students of ALLEN designed a rocket. The rocket was launched from cycle stand of ALLEN straight up into the air. At t = 0 , the rocket is at y = 0 with V_(y) (t = 0) = 0 . The velocity of the rocket is given by: V_(y) = (24t - 3t^(2))m//s for 0 le t le t_(b) where t_(b) is the time at which fuel burns out. vertically upward direction is taken as positive. (g = 10m//s^(2)) The displacement of the rocket till the fuel burns out (t = t_(b)) is

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