﻿ Prove that the maximum horizontal range is 4 times the maximum height attained by a projectile. from Physics Motion in A Plane Class 11 Manipur Board

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Prove that the maximum horizontal range is 4 times the maximum height attained by a projectile.

The horizontal range is maximum when the angle of projection is 45°.

So,

...(1)

Maximum height for angle of projection  is,

...(2)

Therefore, from equation (1) and (2),

R = 4H

That is, range is 4 times the maximum height attained by a projectile.

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