Question

Adriana is flying her drone at an altitude of 300 feet when she decides it's time to bring it down. the drone descends at a rate of 10 feet per second and takes 30 seconds to land. the function a(t) represents the altitude, in feet, of adriana's drone t seconds after she begins to bring it down. what is the domain of a(t)?

Answer 1

The domain of the function a(t) is [0, 30], representing the time in seconds it takes for the drone to descend from 300 feet to landing.

Step-by-step explanation:

In the context of altitude represented by the function a(t), the domain pertains to the permissible values of time, denoted as t in seconds for Adriana's drone. The temporal span begins at t = 0 seconds, marking the drone's initiation, and extends until its landing, encompassing 30 seconds. Hence, the comprehensive domain of a(t) is expressed as [0, 30]. This closed interval encapsulates the entire duration of Adriana's drone flight, offering a defined and bounded range for time values within which the altitude function is applicable and meaningful in describing the drone's vertical position over the specified time frame.