What describes finding acceleration from a velocity vs. time graph?

Acceleration is defined as the rate of change of velocity with respect to time. When examining a velocity vs. time graph, the slope of the graph represents this rate of change; hence, the calculation involves determining how much the velocity changes over a specified time interval.

By finding the change in velocity—typically referred to as the final velocity minus the initial velocity—and dividing it by the change in time, you arrive at the value for acceleration. This relationship is directly encapsulated in the formula for acceleration: ( a = \frac{\Delta v}{\Delta t} ), where ( \Delta v ) is the change in velocity and ( \Delta t ) is the change in time.

While other concepts presented might pertain to motion (such as position changes or forces), they do not specifically address the calculation of acceleration from a velocity vs. time graph, which is distinctly characterized by the change in velocity over time.