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  • A pojectile can have the same range R for two angles of projection .If t1 and t2  be the time of flights in the two cases, then the product of the two time of f

A pojectile can have the same range R for two angles of projection .If t1 and t2  be the time of flights in the two cases, then the product of the two time of flights is directly proportional to

Option: 1

1/R^{2}


Option: 2

1/R


Option: 3


Option: 4

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

Posted by

HARSH KANKARIA

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