When a ball is thrown vertically upwards, it reaches a maximum height of 5m. The initial velocity of the ball was ?

5 m/s

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50 m/s

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10 m/s

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25 m/s

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Solution

The correct option is C 10 m/s
Answer is C.
The equation is given as $v^{2} - u^{2} = 2 a s$ .
where,
v = final velocity,
u = initial velocity,
a = acceleration due to gravity, $10 m / s^{2}$ ,
s = h = height traveled.
Therefore, we can find u with above info. In this case, v = 0 at the top of the path.
$0 - u^{2} = 2 \times 10 \times 5 = 10 m / s .$
Hence, the initial velocity of the ball was 10 m/s.

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