A body is so projected in the air that the horizontal range covered by the body is equal to the maximum vertical height attained. Find the angle of projection.
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Question

A body is so projected in the air that the horizontal range covered by the body is equal to the maximum vertical height attained. Find the angle of projection.

G1 Physics · Accepted Answer

Set horizontal range equal to maximum height: u²sin2θ/g = u²sin²θ/(2g). Cancelling u²/g gives 2sinθcosθ = ½sin²θ, so 4cosθ = sinθ. Hence tanθ = 4 and θ = tan⁻¹4, option B.