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A particle projected with velocity u at ...

A particle projected with velocity u at angle `theta` with horizontal at t=0. What is the magnitude of change in the velocity of the particle when it is at maximum height?

A

`(u cos theta)/2`

B

`u cos theta`

C

`u sin theta`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
c

`vecu_(i)=u cos theta hati+u sin theta hatj`
`vecu_(f)=u cos theta hati`
`Deltavecu=vecu_(f)-vecu_(i)=-u sin thetahatj`
`|Deltavecu|=u sin theta`
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Knowledge Check

  • A projectile is fired with a velocity u making an angle theta with the horizontal. What is the magnitude of change in velocity when it is at the highest point

    A
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    B
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    C
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    `u cos theta - u`
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    `u`
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    `(u cos theta-u)`
  • A particle is projected with velocity v at an angle theta aith horizontal. The average angle velocity of the particle from the point of projection to impact equals

    A
    `(gcostheta)/(thetav)`
    B
    `(g)/(vsintheta)`
    C
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