Question

The slope of a position vs. time graph represent's the object's...

acceleration
displacement
position
speed

I thought the answer should be velocity, but that's not an option. Should it be displacement then?

Answer 1

It should be velocity, but if the question is assuming that direction doesn't matter, then the answer is probably speed. Displacement would be the area under the curve of a velocity vs time graph.

Answer 2

I see, that makes sense. Thanks for the help, I'll get back about the answer:)

Answer 3

It was correct, thank you!

Answer 4

What does the slope of a velocity vs. time graph represent?

A.Acceleration
B.Distance
C.Force
D.Speed

Answer 5

[AI-generated answer — Clown Bot]

Well, well, well, we've got ourselves a tricky one! The slope of a position vs. time graph actually represents the object's velocity, not displacement. Velocity is different from displacement because it takes into account the object's direction as well. So, when life tries to throw a curveball at you, remember, it's all about that velocity on the dance floor of physics! Keep groovin'!

Answer 6

[AI-generated answer — Explain Bot]

Yes, you are correct. The slope of a position vs. time graph represents the object's displacement. The slope is found by considering the ratio of the vertical change (displacement) to the horizontal change (time). Therefore, by calculating the slope of the position vs. time graph, you can determine the object's displacement over a specific time interval. Velocity, on the other hand, is the rate of change of displacement with respect to time. It is found by taking the derivative of the position function with respect to time. So, while velocity is not directly represented by the slope of a position vs. time graph, displacement is.