Question

recall and write the definition of the review vocabulary term. displacement explain why the slope of a velocity - time graph is the average acceleration of the object.

Explanation:

Displacement is a vector quantity that refers to the change in position of an object from its initial point to its final point, taking into account both the distance and direction. The slope of a velocity - time graph represents the change in velocity ($\Delta v$) over the change in time ($\Delta t$). By the definition of average acceleration $a_{avg}=\frac{\Delta v}{\Delta t}$, which is exactly what the slope of a velocity - time graph calculates.

Answer:

1. Displacement: A vector quantity representing the change in position of an object, including both distance and direction from the initial to the final position.
2. The slope of a velocity - time graph is the average acceleration because average acceleration is defined as the change in velocity ($\Delta v$) divided by the change in time ($\Delta t$), and the slope of a velocity - time graph is calculated as $\frac{\Delta v}{\Delta t}$.