Rain Is Falling Vertically With A Speed Of 4 Ms–1. After Some Time, Wind Starts Blowing With A Speed Of 3 Ms–1 in The North To South Direction. In Order To Protect Himself From Rain, A Man Standing On The Ground Should Hold His Umbrella At An Angle given By

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Question

Rain is falling vertically with a speed of 4 ms^–1. After some time, wind starts blowing with a speed of 3 ms^–1 in the north to south direction. In order to protect himself from rain, a man standing on the ground should hold his umbrella at an angle given by

easy

Solution

Correct option is

with the vertical towards north

Velocity of rain (v_r) = 4 ms^–1 vertically downwards. Velocity of wind from north to south direction. A rain drop is acted upon by two velocities v_r and v_w. From the triangle law, the resultant velocity of the rain drop is v = OW. In order to protect himself from rain, he must hold his umbrella at an angle with the vertical (towards north) given by