Question

A student graphed distance versus time for an object that moves 14 m every 2 s. What is the slope of the line on the graph? Explain.

A) The slope is 7 m/s.
B) The slope is 2 m/s.
C) The slope is 14 m/s.
D) The slope is 0.5 m/s.

Answer 1

The slope of the line on the graph is 7 m/s because the object moves 14 meters every 2 seconds, which gives a rate of 7 meters per second.

Step-by-step explanation:

The slope of a distance versus time graph represents the rate at which the distance is changing over time, which is the object's velocity. In this case, the object moves 14 meters every 2 seconds. To find the slope, we need to determine the change in distance and the change in time.

1. Change in distance: The object moves 14 meters every 2 seconds, so the change in distance is 14 meters.
2. Change in time: The object moves every 2 seconds, so the change in time is 2 seconds.

The slope is defined as the change in distance divided by the change in time. Therefore, the slope of the line on the graph is 7 m/s since 14 meters divided by 2 seconds equals 7 meters per second.