﻿ Show that if the projectile attains the maximum height of H and falls at a distance R, then it is projected at an angle θ given by  from Physics Motion in A Plane Class 11 Manipur Board

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Show that if the projectile attains the maximum height of H and falls at a distance R, then it is projected at an angle θ given by Let the speed with which the projectile be projected at angle θ  be 'u'.

The maximum height and the horizontal range is given by,

Horizontal range, Maximum height, Ratio of horizontal range to maximum height is given by,

∴   That is, , is the angle of projection.
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What is a vector quantity?

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