Question

the graph shows the distance of a car from a store. which statement describing the motion of the car is best supported by the graph? the car is not moving. the car is moving at a constant positive speed. the cars speed is negative. the car is traveling on a level surface.

Explanation:

Step1: Recall speed - distance - time relationship

Speed is the rate of change of distance with respect to time. On a distance - time graph, the slope of the graph represents the speed.

Step2: Analyze the given graph

The distance - time graph is a horizontal line. The formula for slope $m=\frac{\Delta y}{\Delta x}$, where $\Delta y$ is the change in distance and $\Delta x$ is the change in time. For a horizontal line, $\Delta y = 0$ as the distance $y$ does not change with time $x$. So, $m = 0$.

Step3: Interpret the slope value

A slope of 0 on a distance - time graph means the speed of the object is 0.

Answer:

The car is not moving.