Question

What can be determined from the magnitude of the slope of a distance versus a time graph?

A. acceleration
B. force
C. speed
D. velocity

Answer 1

C. Speed

Step-by-step explanation:

Speed is defined as the distance traveled over time. Mathematically, it's calculated with the equation:

`speed = (distance)/(time)`

Slope of a graph is the rate at which the y and x axis change together, the "rise over the run." Slope can be simply calculated using this equation:

`slope = (x_(2) - x_(1))/(y_(2) - y_(1))`

Therefore, when graphing distance versus time, the change in distance is divided by the change in time to find the slope. This is the same as speed.