A man standing , observes rain falling with velocity of 20m//sat an angle of 30^(@) with the vertical Find out velocity of man so that rain appers to fall vertically Find out velocity of man so that rain again appears to fall at 30^(@) with the vertical.

A man standing , observes rain falling with velocity of 20m//sat an an

1.	A man standing , observes rain falling with velocity of 20m//sat an angle of 30^(@) with the vertical Find out velocity of man so that rain appers to fall vertically Find out velocity of man so that rain again appears to fall at 30^(@) with the vertical.
Answer» SOLUTION :`vecV_(m)=-vhati("let")` `vecV_(R)=-10hati-10sqrt3hatj` `vecV_(RM)=-(10-v)hati-10-sqrt3hatj` `rArr-(10-v)=0` (for vertcal fall , horizontal component MUST be zero) (or)`v=10m//s` `vecV_(R)=-10hati-10sqrt3hatj` `vecV_(m)=-v_(x)hati` `vecV_(RM)=-(10-v_(x))hati-10sqrt3hatj` Angle with the vertical =`30^(@)` `rArr TAN 30^(@)=(10-v_(x))/(10sqrt3)rArr v_(x) =20m//s`