A rocket of height \( h \) metres is fired vertically upwards. Its velocity at time \( t \) seco...

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A rocket of height \( h \) metres is fired vertically upwards. Its velocity at time \( t \) seconds is \( (2 t+3) \) metres/second. If the angle of elevation of the top of the rocket from a point on the ground after 1
\( \mathrm{P} \) second of firing is \( \pi / 6 \) and after 3 seconds it is \( \pi / 3 \) then the distance of the point from the rocket is

W
(a) \( 14 \sqrt{3} \) metres
(b) \( 7 \sqrt{3} \) metres
(c) \( 2 \sqrt{3} \) metres
(d) cannot be found without the value of \( h \)
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