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A person walking ,on a horizontal road a...

A person walking ,on a horizontal road at 2 km/h finds that the rain is falling vertically . Now the person increasses his speed to 4 km/h and find that rain makes an angle ` 45^(@)` with the vertical . Find the velocity of rain with respect to the road.

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To solve the problem step by step, we will analyze the situation using vector components and the information given in the question. ### Step 1: Define the velocities Let: - \( V_m \) = velocity of the man with respect to the ground - \( V_r \) = velocity of the rain with respect to the ground Initially, the man walks at a speed of \( 2 \, \text{km/h} \) in the positive x-direction. Thus, we can write: ...
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