Question

At what point on the position-time graph shown is the object's instantaneous velocity greatest?

Answer 1

I'm probably going to have to say C. E as it seems the steepest right around there. If I'm wrong on that, it has to be B. B

Answer 2

Answer:

The velocity is greatest at B.

Explanation:

The velocity or instantaneous rate of change is represented on a sketch by the slope of the position curve at a point.

Analyzing the points.

The slope at points F or D have slope as 0, since we have flat tangent lines for them.

The slope for point E is negative, since the curve is decreasing.

The slope for point B is positive, since the curve is increasing at B.

Thus the greatest value of the velocity is point B due the curve is increasing at that point, and the velocity is represented by its slope.