A stone is dropped from a balloon going up with a uniform velocity of 5.0 m/s. If the balloon was 50 m high when the stone was dropped, find its height when the stone hits the ground. Take `g=10 m/s^2`.

Explanation

To solve the problem step by step, we will follow these calculations:

### Step 1: Understand the Initial Conditions
- The balloon is moving upwards with a uniform velocity of \( u = 5.0 \, \text{m/s} \).
- The height of the balloon when the stone is dropped is \( h_0 = 50 \, \text{m} \).
- The acceleration due to gravity is \( g = 10 \, \text{m/s}^2 \) (acting downwards).

### Step 2: Determine the Initial Velocity of the Stone
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