Posted by **Sonu** on Thursday, July 28, 2011 at 2:32pm.

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?

- physics -
**drwls**, Thursday, July 28, 2011 at 6:00pm
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

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