to a man walking at the rate of 3 kilometre per hour the rain appears to fall vertically when increased to 6 kilometre per hour rain appears to meet him at an angle of 45 degree with vertical find speed of train
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Answer:
3√2 km/h
Explanation:
Since the speed of man nullifies the horizontal component of rain(rain is falling vertically), the speed of rain in horizontal direction = -(speed of man in horizontal direction)=-3kmph.
let the speed of rain when man is moving with velocity 6kmph be v. Hence, the horizontal velocity would be vcos45°=-3kmph+6kmph.
By doing this we will find the value of v int the vertical component of v which is always constant.Now that we have both the components of velocity Pythagoras theorem and 3√2kmph is your answer.
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