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  • A projectile can have the same range or two angles of projection. If   <img alt="t_{1}" src="https://learn.c

A projectile can have the same range R or two angles of projection. If   t_{1} and t_{2} be the time of flights in the two cases, then the product of the two time of flights is proportional to

Option: 1

1/R


Option: 2


Option: 3

R^{2}


Option: 4

1/R^{2}


Answers (1)

best_answer

:    Range is same for angles of projection \Theta and (90 - \Theta)

\therefore \: \: t_{1}= \frac{2u\sin \Theta }{g}\: and\: t_{2}= \frac{2u\sin \left ( 90-\Theta \right ) }{g}

t_{1}t_{2}= \frac{4u^{2}\sin \Theta \cos \Theta }{g^{2}}= \frac{2}{g}\times \left ( \frac{u^{2}\sin 2\Theta }{g} \right )= \frac{2R}{g}

t_{1}t_{2}     is proportional to R

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chirag

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