A man moving with `5 ms^-1` observes rain falling vertically at the rate of `10 m s^-1`. Find the speed and direction of the rain with respect to ground.

Explanation

To solve the problem of finding the speed and direction of the rain with respect to the ground, we can follow these steps:

### Step 1: Understand the given information
- The man is moving with a velocity \( V_m = 5 \, \text{m/s} \) horizontally.
- The rain is observed to be falling vertically with a velocity \( V_{rm} = 10 \, \text{m/s} \) with respect to the man.

### Step 2: Set up the relative velocity equation
The relative velocity of the rain with respect to the man can be expressed as:
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