Question

select the correct answer. the motion of a car on a position - time graph is represented with a horizontal line. what does this indicate about the cars motion? a. its not moving. b. its moving at a constant speed. c. its moving at a constant velocity. d. its speeding up.

Explanation:

On a position - time graph, the slope of the line represents velocity. The formula for slope \(m=\frac{\Delta y}{\Delta x}\), and for a position - time graph \(m = \frac{\Delta x}{\Delta t}\) (where \(x\) is position and \(t\) is time). A horizontal line has a slope \(m = 0\). Since \(v=\frac{\Delta x}{\Delta t}\), when \(m = 0\), \(\Delta x=0\) (no change in position over time).

Answer:

A. It's not moving.