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Question

Physics Question on Motion in a plane

A particle is projected with velocity uu inclined at an angle α\alpha with xaxisx-axis. Change in velocity of the particle on return to ground is

A

zerozero

B

2u2 \,u

C

2ucosα2u \,cos\, \alpha

D

2usinα2u \,sin\,\alpha

Answer

2usinα2u \,sin\,\alpha

Explanation

Solution

Initial velocity along y axis = u sin α\alpha Final velocity along y axis = - u sin α\alpha Change in velocity = u sin α\alpha - (usinα)(-u\,sin\,\alpha) = 2usinα2\,u\,sin\,\alpha