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Q.

A ball is thrown upward with such a velocity v that it returns to the thrower after 3 s. Take g = 10 ms^-2 . Find the value of 'v'

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a

20 m/s

b

15 m/s

c

5 m/s

d

10 m/s

answer is A.

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Detailed Solution

Using $\vec{h} = \vec{u} t + \frac{1}{2} \vec{a} t^{2}$

Since the displacement is zero,

$0 = uT - \frac{1}{2} {gt}^{2} \Rightarrow u = \frac{gT}{2}$

$\Rightarrow u = \frac{10 \times 3}{2} = 15 m / s$

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A ball is thrown upward with such a velocity v that it returns to the thrower after 3 s. Take g = 10 ms-2 . Find the value of 'v'