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A motor cyclist is riding North in still...

A motor cyclist is riding North in still air at `36 kmh^(-1)`.The wind starts blowing West ward with a velocity `18 kmh^(-1)`
The direction of apparent velocity is

A

`tan^(-1)(1//2)` West of North

B

`tan^(-1)(1//2)` North of West

C

`tan^(-1)(1//2)` East of North

D

`tan^(-1)(1//2)` North of East

Text Solution

Verified by Experts

The correct Answer is:
A
From figure `tan beta=(AC)/(OA)=5/10=1/2`
So `beta=tan^(-1)(1/2)` West to North
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Knowledge Check

  • A motor cyclist is riding North in still air at 36 kmh^(-1) .The wind starts blowing West ward with a velocity 18 kmh^(-1) If the wind velocity becomes 36 kmh^(-1) due West, then how much more distance the motor cyclist would cover in 10 min

    A
    `10 km`
    B
    `1.8 km`
    C
    `3.6 km`
    D
    `8.5 km`

  • Rain is falling vertically with a velocity of 3 kmh^-1 . A man walks in the rain with a velocity of 4 kmh^-1 . The rain drops will fall on the man with a velocity of

    A
    5`kmh^-1`
    B
    4`kmh^-1`
    C
    3`kmh^-1`
    D
    1`kmh^-1`

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