Physics, asked by shivamduas, 1 year ago

when a man is standing, rain drops appears to him falling at 60 degree from the horizontal from his front side. when he is travelling at 5 kmph on a horizontal road they appear to him falling at 30 degree from the horizontal from his front side. what is the actual speed of the rain ?

Answers

Answered by tiwaavi
53

Given in the question :-


Here | \vec_v | = 5 km/hr.

u = ?

θ = 60°

φ = 30°


We know, by the formula

tanφ = usin60° / (v + u cos 60°)

tan 30° = ( u × √3/2 ) / ( v + u/2 )

3/2 u = 5 + u/2

3/2 u - u/2 = 5

u = 5 km/hr


The actual speed of the rain is 5 km/hr


Hope it helps .

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Answered by IMrGauravI
13

tanφ = usin60° / (v + u cos 60°)

tan 30° = ( u × √3/2 ) / ( v + u/2 )

3/2 u = 5 + u/2

3/2 u - u/2 = 5

u = 5 km/hr

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