Final answer:
The equation v = vo + at in physics connects final velocity with initial velocity, acceleration, and time, assuming constant acceleration. It shows how final velocity depends on acceleration and its duration.
Step-by-step explanation:
The equation v = vo + at is a fundamental concept in physics, relating the final velocity (v) of an object to its initial velocity (vo), its acceleration (a), and the time (t) during which the acceleration is applied. This equation assumes that the acceleration is constant over the time interval. Importantly, this relationship implies that the final velocity depends on both the magnitude of the acceleration and the duration it is applied. If the acceleration is zero, the final velocity will remain equal to the initial velocity. Additionally, a negative acceleration indicates that the final velocity will be less than the initial velocity, which can be interpreted as the object slowing down.