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A man running on the horizontal road at ...

A man running on the horizontal road at ` 8 km h^(-1)` find the rain appears to be falling vertically. He incresases his speed to `12 km h^(-1)` and find that the drops make angle ` 30^2` with the vertical. Find the speed and direction of the rain with respedt to the road.

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AI Generated Solution

To solve the problem step by step, we will analyze the situation using the concepts of relative velocity and trigonometry. ### Step 1: Understand the initial conditions The man is running at a speed of \( V_{m1} = 8 \, \text{km/h} \) and observes the rain falling vertically. This means that the horizontal component of the rain's velocity must equal the man's speed for the rain to appear vertical to him. ### Step 2: Set up the equations for the first scenario Since the rain appears to fall vertically, we can conclude: \[ ...
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