Question

rain is falling vertically with a speed of 10m/s.a woman rides as a result she told at the angle of 53 degree with the horizontal .find her speed of cycling

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Answer 1

Rain is falling vertical with speed = 30m/sec , and woman rides North to South 10m/s .

let north to south direction is in j- component .

and rain fall in K component

we know, for rain- fall concept ,

velocity of rain = - 30k

velocity of woman = -10 j

Then, relative velocity of rain with respect to womain = velocity of rain - velocity of woman = -30k -(-10 j ) = 10j -30k

j is positve

and K is negative

rain fall wrt woman is

north to below direction so,

Umbrella should be put by woman in South to above direction

at an angle is tan-¹( 1/3).

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