﻿ A particle is projected with speed ‘u’ at an angle θ. Show that it will strike the ground with the speed u.             from Physics Motion in A Plane Class 11 Manipur Board

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A particle is projected with speed ‘u’ at an angle θ. Show that it will strike the ground with the speed u.

Let a projectile be projected with speed 'u' at angle 'θ' from O and strike the ground at P with velocity 'v'.

The projectile will strike the ground at P after time equal to the time of the flight.

Now, resolving the components of 'u' in the horizontal and vertical direction, we have

Horizontal and vertical component is given by,

Therefore magnitude of velocity at ground is,

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A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
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A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
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