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 ?
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a
tan−1gtucosθ
b
tan−1tucosθ
c
tan−1tanθ−gtucosθ
d
tan−1tanθ+gtucosθ
answer is C.
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Detailed Solution
Here vx=ucosθ and vy=usinθ−gt∴ tanα=VyVx=usinθ−gtucosθ=tanθ−gtucosθ∴ α=tan−1tanθ−gtucosθ