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Questions  

Which one of the following gives the angle made by the resultant velocity after t seconds for projectile of initial velocity u, projected at an angle θ with the horizontal ?

a
tan−1⁡gtucos⁡θ
b
tan−1⁡tucos⁡θ
c
tan−1⁡tan⁡θ−gtucos⁡θ
d
tan−1⁡tan⁡θ+gtucos⁡θ

detailed solution

Correct option is C

Here vx=ucos⁡θ and vy=usin⁡θ−gt∴ tan⁡α=VyVx=usin⁡θ−gtucos⁡θ=tan⁡θ−gtucos⁡θ∴ α=tan−1⁡tan⁡θ−gtucos⁡θ

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Similar Questions

Assertion : When the velocity of projection of a body is made n times, its time of flight becomes n times.

Reason : Range of projectile does not depend on the initial velocity of a body.


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