Question

If the instantaneous velocity is zero, what can be said about the slope of the position function?

a) Positive
b) Negative
c) Zero
d) Undefined

Answer 1

If the instantaneous velocity is zero, the slope of the position function is zero.

Step-by-step explanation:

If the instantaneous velocity is zero, the slope of the position function is zero (c) since the position function represents the displacement of an object over time. The slope of a position-time graph represents the velocity of the object. When the velocity is zero, the object is not changing its position, so the slope is zero.