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Question

Question: A projectile is thrown at angle b with vertical. It reaches a maximum height H. The time taken to re...

A projectile is thrown at angle b with vertical. It reaches a maximum height H. The time taken to reach highest point of its path is –

A

Hg\sqrt{\frac{H}{g}}

B

2Hg\sqrt{\frac{2H}{g}}

C

H2g\sqrt{\frac{H}{2g}}

D

2Hgcosβ\sqrt{\frac{2H}{g\cos\beta}}

Answer

2Hg\sqrt{\frac{2H}{g}}

Explanation

Solution

H = u2cos2β2g\frac{u^{2}\cos^{2}\beta}{2g} ̃ u cos b = 2gH\sqrt{2gH}

t = ucosβg\frac{u\cos\beta}{g}= 2Hg\sqrt{\frac{2H}{g}}