An object at an angle such that the horizontal range is 4 time of the maximum height. What is the angle of projection of the object?

Explanation

Given: Horizontal range = `4 H_(max)`
Horizontal range = ` (u^2 sin 2 theta)/(g) = (2u^2 sin theta cos theta)/(g)`
Maximum height ` = (u^2 sin^2 theta)/(2g)`
as given , `(2u^2 sin theta cos theta)/(g) = (4u^2 sin^2 theta)/(2g)`
` 2cos theta = 2 sin theta `
` tan theta = 1 `
` therefore theta = 45^@`