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# a body of mass m is projected with u initial speed at angle theta with horizontal.change in momentum after time t

Asked by priyankaranijha2001 1st February 2021, 7:17 PM
At t = 0 , Horizontal component of velocity = u cosθ
After time t , Horizontal componenet of velocity = u cosθ

At t = 0 , vertical component of velocity = u sinθ
After time t , vertical componenet of velocity = ( u sinθ ) - ( g t )

Let horizontal component is parallel to x-axis of cartesian coordinate system and
vertical component coincide with y-axis of cartesian system.

Momentum in vector form at t = 0 , Pi = m [ ( u cosθ )  + ( u sinθ  )  ]
Then momentum in vector form after time t , Pf = m [ ( u cosθ )  + ( u sinθ  -  g t )  ]
Change in momentum ΔP = Pf - Pi = -m ( gt )

Answered by Expert 1st February 2021, 8:38 PM
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