Rain is falling vertically with a speed of 35 ms–1. Winds starts blowing after sometime with a speed of 12 ms–1 in east to west direction. In which direction should a boy waiting at a bus stop hold his umbrella?

Rain is falling vertically with a speed of 35 ms–1. Winds starts blo

1.	Rain is falling vertically with a speed of 35 ms–1. Winds starts blowing after sometime with a speed of 12 ms–1 in east to west direction. In which direction should a boy waiting at a bus stop hold his umbrella?
Answer» ultant velocity of RAIN drops will be the vector SUM of the rain drop speed (vertical) and the HORIZONTAL wind speed.the magnitude of the result velocity of the rain drops = √(12²+35²) = 37 m / secthe direction of the resultant velocity vector with the vertical = tan ⁻¹ (12/35) = 18.92 deg.The umbrella should be pointed in the direction opposite to the resultant velocity of the rain drops. So it should be in the direction 18.92 deg. inclination to the vertical opposite to the direction of wind., towards East.or, 71.08 deg. with the horizontal (East) towards the vertical.

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Rain is falling vertically with a speed of 35 ms–1. Winds starts blowing after sometime with a speed of 12 ms–1 in east to west direction. In which direction should a boy waiting at a bus stop hold his umbrella?

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