Question

2 multiple choice 0.5 points
on a v-t graph, the slope represents the:
displacement
time
position
acceleration

Explanation:

A velocity-time (v-t) graph has velocity on the y-axis and time on the x-axis. The slope of a graph is calculated as the change in y-value divided by the change in x-value, which here is $\frac{\Delta v}{\Delta t}$. By definition, acceleration is the rate of change of velocity over time, matching this slope calculation. Displacement is the area under the v-t graph, while time and position are the independent variable and a related quantity not represented by the slope.

Answer:

Acceleration