Question

which velocity vs. time graph corresponds to the data represented by the position vs. time graph? position (m) time (s) velocity vs time

Explanation:

Step1: Recall velocity - position relation

Velocity is the slope of the position - time graph.

Step2: Analyze given position - time graph

The position - time graph is a straight line. The slope of a straight - line graph is constant. So, the velocity is constant.

Step3: Analyze velocity - time graph options

The correct velocity - time graph should be a horizontal line (representing constant velocity). The provided velocity - time graph with acceleration, constant velocity and deceleration does not match. A correct velocity - time graph for a straight - line position - time graph would be a horizontal line at a non - zero value (since the position is changing with time).

Since the options are not fully shown, but based on the principle that for a straight - line position - time graph with a non - zero slope, the velocity is constant and the velocity - time graph should be a horizontal line.

Answer:

A horizontal line on the velocity - time graph (assuming options include such a graph)