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AIPMT> A projectile can have the same range R fo...

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A projectile can have the same range R for two angles of projection. If T and t be the times of flight in the two cases, the product of T and t is (plz give full solution) ......... (a) Directly propotional to square of R.. (b) Directly propotional to R.. (c) Inversely propotional to square of R.. (d) Inversely propotional To R.

Hasan Rizwi , 8 Years ago

Grade 12th pass

1 Answers

Eshan

Last Activity: 6 Years ago

Dear student,

Range of a projectile is given as $R=\dfrac{2u^2sin\theta cos\theta}{g}$
If one of the angles is $\theta$ , the other with same range will be $90^{\circ}- \theta$

Hence $T=\dfrac{2usin\theta}{g}$
and $t=\dfrac{2usin(90^{\circ}-\theta)}{g}=\dfrac{2ucos\theta}{g}$

Hence $Tt=\dfrac{4u^2sin\theta cos\theta}{g^2}\propto R$

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