Question

question 2 1 pts if the position has a horizontal slope at point p, then the velocity must be
zero
at a horizontal slope
increasing
decreasing

Explanation:

In the context of position - time graphs, the velocity is the slope of the position - time graph. If the position graph has a horizontal slope at a point \( P \), it means the slope of the position - time graph at that point is zero. Since velocity is the rate of change of position (the slope of the position - time graph), when the slope is zero, the velocity must be zero. The option "at a horizontal slope" is incorrect because velocity is a quantity (a rate of change) and not described as having a horizontal slope. The options "increasing" and "decreasing" do not match the fact that a horizontal slope implies a slope of zero for the position - time graph, so velocity is zero.

Answer:

A. zero