Final answer:
The balloon is 47.2 feet above the ground after 10 seconds, calculated by adding the initial height to the product of the ascent rate and time.
Step-by-step explanation:
To find out how high the balloon is after 10 seconds, we can set up an equation using the given rate of ascent and the initial height. The balloon rises at a steady rate of 3.8 feet per second, and it was released from a height of 9.2 feet above the ground.
The height of the balloon after t seconds can be calculated using the formula:
Height = Initial height + (Rate of ascent × Time)
Plugging in the values:
Height after 10 seconds = 9.2 feet + (3.8 feet/second × 10 seconds)
Height after 10 seconds = 9.2 feet + 38 feet
Height after 10 seconds = 47.2 feet
Therefore, the balloon is 47.2 feet above the ground after 10 seconds.