If rain is falling vertically at a speed of 10m/s and a person is riding bicycle at 20m/s
(east to west),then find the relative velocity of rain and find the direction to hold umbrella.
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Answer:
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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Explanation:
Speed of person = 10m/s¹
Speed of cycle = 20m/s¹
Velocity of rain?....
Distance = 1m
So, displacement also.
Velocity = 20m/s
and at angle tan = ⅓
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