Question

1. what kind of information is best displayed in an acceleration vs. time graph?

○ an object’s direction of motion
○ an object’s rate of motion
○ whether an object is speeding up or slowing down
○ the change in an object’s velocity

Explanation:

Answer:

D. the change in an object's velocity

(Note: In an acceleration - time graph, the area under the graph represents the change in velocity (\(\Delta v=\int a\mathrm{d}t\)). An object's direction of motion is related to velocity's sign, rate of motion is speed (magnitude of velocity), and whether an object is speeding up or slowing down depends on the relationship between velocity and acceleration (same or opposite signs), not directly from the acceleration - time graph alone. So the best information from an acceleration - time graph is the change in an object's velocity.)