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A man moving with a velocity of 5m//s on...

A man moving with a velocity of `5m//s` on a horizontal road observes that raindrops fall at an angle of `45^(@)` with the vertical. When he moves with a velocity of `16m//s` along an inclined plane, which is inclined at `30^(@)` with the horizontal , he observes raindrops falling vertically downward as shown in the figure. Find the actual velocity of the raindrops.

Text Solution

Verified by Experts

The correct Answer is:
`8 sqrt ( 3i) - ( 8 sqrt( 3) - 5 ) hat(j)`
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Knowledge Check

  • A man running with velocity 3m//s finds that raindrops are hitting him vertically with a speed of 4m//s . Raindrops are falling at an angle theta with the vertical. Value of theta is

    A
    `37^(@)`
    B
    `53^(@)`
    C
    `45^(@)`
    D
    `60^(@)`

  • An object is falling vertically downwards with velocity 10m//s .In terms of hat i and hat j find the image velocity. M

    A
    `(5sqrt(3)hat i - 5 hatj)m//s`
    B
    `(5sqrt(3)hat i + 5 hatj)m//s`
    C
    `(sqrt(3)hat i + 2 hatj)m//s`
    D
    none

  • a particle is projected down on inclined plane with a velocity of 21m/s at an angle of 60^@ with the horizontal its range on the inclined plane inclined at an angle of 30^@ with the horizontal is

    A
    21dm
    B
    2.1dm
    C
    30dm
    D
    6dm

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