Question

Mel’s rate of change is –5–1/51/55. that means that her height in the air decreases feet every second. victor’s rate of change is –10/3–3/103/1010/3. that means that his height in the air decreases feet every second.

Answer 1

The subject matter involves rates of change in vertical motion and is part of kinematics in physics, making it a high school level physics problem.

Step-by-step explanation:

The question provided appears to discuss rates of change in the context of vertical motion, likely as part of a kinematics unit in physics. Specifically, the question mentions rates of change as a measure of how a person's height changes over time, which is related to velocity in the vertical direction. The inclusion of gravity, positions, velocities, and acceleration due to gravity in the example text points towards physics as the subject matter, and the level of mathematics involved suggests this is high school level.

As an example, Vivian's constant velocity of 1 m/s upward means her altitude increases linearly with time, which we can describe with the equation h(t) = h0 + vt, where h(t) is the height at time t, h0 is the initial height, and v is the velocity. After 50 s, Vivian would be 50 m above her starting point if her initial height, h0, is considered to be 0.