At what point on the position-time graph shown is the object's instantaneous velocity greatest?
A. F
B. B
C. E
D. D
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:
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.