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A man is holding an umbrella at angle 30...

A man is holding an umbrella at angle `30^(@)` with vertical with lower and towards himself. Which is appropriate angle to protect him from rain for his horizontal velocity `10 m//s`. Then which of the following will be true-

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A person is standing on road by holding an umbrella at right angle to the horizontal surface in order to protect himself from rain falling at a speed of 10 m/s, when the velocity of wind is zero. Suddenly wind begins to flow at a speed of 20m/s, 30^(@) south of west. Now by what angle the person has to rotate his umbrella in order to protect himself from rain ?

A man is coming down an incline of angle 30^(@) . When he walks with speed 2sqrt(3)m//s he has to keep his umbrella vertical to protect hismself from rain. The actual speed of rain is 5m//s . At what angle with vertical should he keep his umbrella when he is at rest so that he does not get drenched ?

Statement -1 : A man standing on the ground has to hold his umbrella at an angle theta with the vertical to protect himself from rain. It is possible that the man now starts running on the ground with certain speed, but he still has to hold his umbrella at angle theta with the vertical to protect himself from rain. Statement -2 : Vertical component of velocity of rain w.r.t man does not change. if he starts running on a horizontal ground.

Statement -1 : A man standing on the ground has to hold his umbrella at an angle theta with the vertical to protect himself from rain. It is possible that the man now starts running on the ground with certain speed, but he still has to hold his umbrella at angle theta with the vertical to protect himself from rain. Statement -2 : Vertical component of velocity of rain w.r.t man does not change. if he starts running on a horizontal ground.

A man runs along a horizontal road on a rainy day. His umbrella vertical in order to protect himself from the rain then rain actually