Question

question 14 (1 point)
when is the average velocity of an object equal to the instantaneous velocity?
always
never
only when the velocity is constant
only when the velocity is increasing at a constant rate

Explanation:

Average velocity is calculated as total displacement divided by total time. Instantaneous velocity is the velocity at a specific moment. When velocity is constant, every instantaneous velocity is the same, so the average (which is also that constant value) equals the instantaneous velocity. If velocity changes (either increasing/decreasing non - constantly or at a constant rate like in uniformly accelerated motion), the average velocity (which is based on the overall displacement and time) will not equal every instantaneous velocity. For example, in uniformly accelerated motion (constant acceleration, so velocity increasing at a constant rate), the average velocity \(v_{avg}=\frac{v_{i} + v_{f}}{2}\) (where \(v_{i}\) is initial and \(v_{f}\) is final velocity), which is not equal to most of the instantaneous velocities during the motion.

Answer:

only when the velocity is constant