A man running horizontal road with velocity 8 km/hr. Find the rain falling vertically downward direction. When he increases speed to 12 km/hr he find rain drops are falling at an angle 30' with downward vertically. What will be the velocity of rain?

Answer 1

I am interpreting your first two sentences as meaning:
"A man running horizontally along a road, with velocity 8 km/hr, finds the rain falling in a vertically downward direction."

That statement implies that the rain has a horizontal component of 8 km/hr in the same direction the runner is running. When he runs at the same speed, the rain apears to come straight down.

If he increases his speed to 12 km/hr, there is a 4 km/hr relative velocity of wind into his face. The vertical component of the wind velcity, Vy, must such that 4/Vy = tan 30
Vy = 6.93 km/hr
Vx = 8.00 km/hr
Wind speed (magnitude) = 10.58 km/hr

Answer 2

could we keep the answer as 4root7?

Answer 3

yes

Answer 4

How

Answer 5

4.1.732

Answer 6

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Answer 7

why u used vx =8 and why you don't use vx=12

Answer 8

loose