﻿ A body is projected with velocity u at angle θ with vertical. At what height will it strike the wall, r distance away from the point of projection? from Physics Motion in A Plane Class 11 Manipur Board

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A body is projected with velocity u at angle θ with vertical. At what height will it strike the wall, r distance away from the point of projection?

Consider a body which is projected from O in XY plane with velocity 'u' at angle θ with vertical, and
The body is projected at an angle α = 90°–θ with the horizontal.

Let the body strike the wall at height h.

So, co-ordinates of point P where the projectile hits the wall are ↔ (r,h).

Equation of trajectory is given by,

[∵

Since  lies on trajectory,

∴

is the height at which the body will strike the wall.

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