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To a man walking at the rate of 3 km//h ...

To a man walking at the rate of `3 km//h` the rain appear to fall vertically downwards. When he increases his speed `6 km//h` it appears to meet him at an angle of `45^@` with vertically. Find the speed of rain.

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AI Generated Solution

To solve the problem, we will analyze the motion of the man and the rain using vector components. Let's break it down step by step. ### Step 1: Understand the Situation We have a man walking at two different speeds (3 km/h and 6 km/h) and we need to find the speed of the rain. When he walks at 3 km/h, the rain appears to fall vertically, and when he walks at 6 km/h, the rain appears to meet him at a 45-degree angle. ### Step 2: Define the Variables Let: - \( v_r \) = speed of the rain (unknown) ...
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