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A stone is thrown vertically upwards and the height reached by $S = 80 t - 16 t^{2}$ it in time’t’ is given by then the stone reaches the maximum height in time t=

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2 sec

2.5 sec

3 sec

3.5 sec

answer is B.

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Detailed Solution

$s = 80 t - 16 t^{2}$

$v = 80 - 32 t$

$v = 0 \Rightarrow t = \frac{5}{2} = 2.5 \sec$

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