A man is running with velocity 5 km/h towards east and rain is falling vertically down with speed 5 km/h. Direction of rain w.r.t. man is

A man is walking with 3 m//s, due east. Rain is falling vetically downwards with speed 4 m//s. Find the direction in which man should hold his umbrella, so that rain does not wet him.

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 running at a speed of 5 km/h finds that the rain is falling vertically. When the stops running, the finds that the rain is falling at an angle of 60^(@) with the horizontal. The velocity of rain with respect to running man is

A man is walking due west with a velocity 3 km//h and rain appears to be falling vertically with a velocity 4km//h . Find the velocity of rain with respect to the ground.

A policeman is running with a uniform velocity of 5 km h^(-1) towards east and a thief is running with a uniform velocity of 2 km h^(-1) towards east. Is it possible for the policemna to catch the theif? Explain

A man walking with a speed of 3 km/h finds the rain drops falling vertically downwards. When the man increases his speed to 6km/h he find that the rain drops are falling making an angle of 30^(@) with the vertical . Find the speed of the rain drops ( in km/h)

A man running on a horizontal road at 6 km//h finds the rain falling vertically. He doubles his speed and find that the raindrops make an angle 37^(@) with the vertical. Find the velocity of rain with respect to the ground.

To a man running upwards on the hill, the rain appears to fall vertically downwards with 4 m s^-1 . The velocity vector of the man w.r.t. earth is (2 hat i + 3 hat j) ms ^-1 . If the man starts running down the hill with the same speed, then determine the relative speed of the rain w.r.t. man. .