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Projectile Time, Height and Range

A object is t...

Question

A object is thrown horizontally from a point A. the ball hits the ground at a point B. The line of sight from A to B makes $60^{\circ}$ with the horizontal. If $g = 10 m s^{- 2}$ , the velocity of projection, if the time of flight is $\sqrt{3} s e c .$ is

A

10 m s^{- 1}

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B

5 m s^{- 1}

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C

10 \sqrt{3} m s^{- 1}

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D

\frac{10}{\sqrt{3}} m s^{- 1}

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Solution

The correct option is B $5 m s^{- 1}$
$\begin{matrix} O B = u t & t = \sqrt{\frac{2 \times O A}{g}} \Rightarrow O A = \frac{1}{2} g t^{2} ∴ O A = \sqrt{3} O B \Rightarrow 5 t^{2} = \sqrt{3} u t \Rightarrow u = 5 m / s ∴ O p t i o n B i s c o r r r e c t . \end{matrix}$

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