Final answer:
The question asks to discuss motion concepts such as relative motion, absolute velocity, acceleration due to gravity, and constant speed. Anita's running velocity can be relative or absolute depending on the observer's motion, while constant speed indicates no acceleration. The rate of change of velocity is called acceleration.
Step-by-step explanation:
The question pertains to concepts in physics related to motion, velocity, and acceleration. When mentioning Anita running to the right at 5 m/s, it's important to consider this velocity in terms of a frame of reference, which would answer the observer's relative motion question. For example, if the observer is also moving to the right at 3 m/s, then Anita's velocity relative to this observer would be 5 m/s - 3 m/s = 2 m/s. However, if the observer is stationary or the standard reference frame (like the Earth's surface) is used, Anita's absolute velocity would simply be 5 m/s to the right.
Acceleration, such as acceleration due to gravity, is unrelated to her horizontal motion unless the context involves vertical motion, but since no such context is provided, we assume it's not a factor here. Finally, if Anita maintains this velocity, she is said to be running at a constant speed. No acceleration is occurring since her speed is not changing.
The rate of change of velocity is called acceleration, which is the concept to use when analyzing situations where an object's speed changes over time, as in the examples provided. In these examples, the values of velocity v(t) and acceleration a(t) can be used to determine motion characteristics at certain points in time.