A particle is projected with velocity u inclined at an angle α with x-axis. Change in velocity of the particle on return to ground is

Question

A particle is projected with velocity u inclined at an angle α with x-axis. Change in velocity of the particle on return to ground is (A) zero (B) 2 u (C) 2u cos α (D) 2u sin α

Tardigrade Admin · Accepted Answer

Initial velocity along y axis = u sin α Final velocity along y axis = - u sin α Change in velocity = u sin α - (-u sin α) = 2 u sin α

Q. A particle is projected with velocity $u$ inclined at an angle $α$ with $x - a x i s$ . Change in velocity of the particle on return to ground is

$zero$

$2 u$

$2 u cos α$

$2 u s in α$

Initial velocity along y axis = u sin $α$
Final velocity along y axis = - u sin $α$
Change in velocity = u sin $α$ - $(- u s in α)$ = $2 u s in α$

Q. A particle is projected with velocity u inclined at an angle α with x−axis. Change in velocity of the particle on return to ground is

zero

2u

2ucosα

2usinα