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A man is moving down on the curved surfa...

A man is moving down on the curved surface `(y^(2)=(9)/(2)x)` with constant speed 50 m/sec and rain drops vertically downward with velocity 30 m/s with respect to ground as shown in the figure. The direction of the umbrella, when the man is at x = 2, should be

A

at angle of `53^(@)` with the vertical

B

in the horizontal direction and towards -ve x-axis.

C

in the horizontal direction and towards +ve X-axis.

D

At angle of `37^(@)` with the vertical.

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Rain is falling vertically downward with velocity 4m//s. A man is moving horizontally with velocity 3 m//s , the velocity of rain with respect to man is

    A
    `5m//s` at an angle `tan^(-1)(4//3)` with horizontal
    B
    `5 m//s` at an angle `tan^(-1)(3//4)` with vertical
    C
    `5m//s` at an angle `tan^(-1)(4//3)` with vertical
    D
    Both `(1)` and `(2)`

  • As shown in the figure, if acceleration of M with respect to ground is 5m//s^(2) , then :

    A
    Acceleration of m with respect to M is `5 m//s^(2)`
    B
    Acceleration of m with respect to M is `2 m//s^(2)`
    C
    Acceleration of m with respect to ground `5 m//s^(2)`
    D
    Acceleration of m with respect to ground to `sqrt10) m//s^(2)`

  • Rain is falling vertically and a man is moving with velocity 6 m s^-1 . Find the angle at which the man should hold his umbrella to aboved getting wet.

    A
    `theta = tan^-1 ((2)/(5))`
    B
    `theta = tan^-1 ((4)/(5))`
    C
    `theta = tan^-1 ((3)/(5))`
    D
    `theta = sin^-1 ((2)/(5))`
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