A man is moving due east with a speed 1 km/hr and rain is falling vertically with a speed `sqrt(3)` km/hr. At what angle from vertical the man has to hold his umbrella to keep the rain away. Also find the speed of rain drops w.r.t. man.

A man when standstill observes the rain falling vertically and when he walks at 4 km//h he has to hold his umberella at an angle 53^(@) from the vertical. Find velocity of the raindrops.

A person is walking to the east at 2 km/hr and the rain drops appear to him dropping vertically downwards at 2sqrt(3)km//hr . Find the actual velocity of rain.

Rain is falling vertically with a speed of 20ms^(-1) ., A person is running in the rain with a velocity of 5 ms^(-1) and a wind is also blowing with a speed of 15 ms^(-1) (both from the west) The angle with the vertical at which the person should hold his umbrella so that he may not get drenched is:

A man moving with 5 ms^(-1) observes rain falling vertically at the rate of 10 ms^(-1) . Find speed of the rain with respect to ground.

A car is moving towards east with a speed of 25 km h^-1 . To the driver of the car, a bus appears to move towards north with a speed of 25 sqrt(3) km h^-1 . What is the actual velocity of the bus ?

Rain is fallinf vertically with a speed of 35 m s^(-1) . A women rides a bicycle with a speed of 12 ms ^(-1) in east to west dicrection . What is the direction in which she should hold her umbrella ?

Wind is blowing in the north direction at speed of 2 m/s which causes the rain to fall at some angle with the vertical. With what velocity should acyclist drive so that the rain appears vertical to him:

A glass wind screen whose inclination with the vertical can be changed is mounted on a car. The moves horizontally with a speed of 2m//s . At what angle alpha with the vertical should the wind screen placed so that the rain drops falling vertically downwards with velcoity 6m//s strike the wind screen perpendicularly?

A man is walking on a road with a velocity 3kmhr. Suddenly rain starts falling. The velocity of rain is 10km/hr in vertically downward direction. the relative velocity of rain with respect to man is :-

A man starts running along a straight road with uniform velocity observes that the rain is falling vertically downward. If he doubles his speed, he finds that the rain is coming at an angle theta to the vertical. The velocity of rain with respect to the ground is :