Question

question 1 (3 points)
(02 04 mc)
a position - time graph is shown below.
position vs. time
which statement accurately describes the speed of the object in the graph above over the 10 seconds?
a speed is decreasing.
b speed is constant.
c speed is not constant.
d object is at rest.

Explanation:

Step1: Recall speed - position - time relation

Speed is the slope of a position - time graph.

Step2: Analyze different segments

In the first segment from \(t = 0\) to \(t=3\) s, the graph has a non - zero slope. From \(t = 3\) s to \(t = 6\) s, the slope is zero (object is at rest). From \(t=6\) s to \(t = 10\) s, the graph has a non - zero slope again. Since the slope (speed) is not the same throughout the 10 - second interval.

Answer:

C. Speed is not constant.