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

Solution
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,