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A standing man observes rain falling wit...

A standing man observes rain falling with the velocity of `20 m s^-1` at an angle of `30^@` with the vertical.
(a) Find the velocity with which the amn should move so that rain appears to fall vertically to him.
Now if he futher increases his speed, rain again appears to fall at `30^@` with the vertical. Find his new velocity.

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the motion of the rain and the man. The rain is falling at an angle of \(30^\circ\) with the vertical at a speed of \(20 \, \text{m/s}\). ### Step 1: Resolve the rain's velocity into components The velocity of the rain can be resolved into two components: - Vertical component (\(V_{ry}\)): This is the component acting downward. - Horizontal component (\(V_{rx}\)): This is the component acting horizontally. Using trigonometry: ...
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