Question

A hot air balloon ascended to a height of 35 meters 2 minutes after launch After some time, the balloon's altitude began to change by-3 meters every minute for 9 minutes. To avoid a tree, the hot air balloon flew up by

5 meters. What is the new altitude of the hot air balloon?

Answer 1

The new altitude of the hot air balloon is 67 m.

Explanation:

To find the final altitude of the hot air we need to add every altitude as follows:

1. A hot air balloon ascended to a height of 35 meters 2 minutes after launch

`H_(1) = 35 m`

2. The balloon altitude began to change by-3 meters every minute for 9 minutes:

`H_(2) = (3 m)/(min)*9 min = 27 m`

3. The hot air balloon flew up by 5 meters:

`H_(3) = 5 m`

Hence, the total altitude is:

`H_(T) = H_(1) + H_(2) + H_(3) = 35 m + 27 m + 5 m = 67 m`

Therefore, the new altitude of the hot air balloon is 67 m.

I hope it helps you!