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Ron is flying a hot air balloon at an altitude of 570 meters. He releases air from the balloon to change the altitude by -2.5 meters every second for 4 seconds.

1a. Write an equation and solve to find the change in altitude.
1b. Write an equation and solve to find the new altitude.

User Stannius
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1 Answer

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Final answer:

After releasing air from his balloon for 4 seconds at a rate of -2.5 meters per second, Ron's altitude changes by -10 meters, resulting in a new altitude of 560 meters.

Step-by-step explanation:

To find the change in altitude for Ron's hot air balloon, we use the information that the altitude changes by -2.5 meters every second for 4 seconds. The equation for the change in altitude (Δh) is:

Δh = rate × time

In this case, the rate of change is -2.5 meters/second, and the time is 4 seconds. So,

Δh = (-2.5 m/s) × (4 s)

Δh = -10 meters

This means that Ron's altitude decreases by 10 meters.

To find the new altitude, we subtract the change in altitude from the original altitude:

New Altitude = Original Altitude + Change in Altitude

New Altitude = 570 m + (-10 m)

New Altitude = 560 meters

Therefore, Ron's new altitude after releasing air for 4 seconds is 560 meters above ground level.

User Mawardy
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