To solve this question, we can use the formula for time which is time = distance / speed.
From the problem, we have the following information:
- The speed of the balloon is given as 2.9 m/s
- The distance to the hill is 130 meters
From this, we will use the formula to calculate the time it takes for the balloon to reach the hill.
So, time = distance / speed = 130 meters / 2.9 m/s.
If you calculate this, you find that the time it takes for the balloon to reach the hill is approximately 44.83 seconds when rounded to two decimal places.
This means that the balloon pilot has around 44.83 seconds to ascend 25 meters and avoid a collision with the hill.