which velocity vs. time graph corresponds to the data represented by the position vs. time graph? position…

Answer:

The velocity - time graph corresponding to a linear position - time graph is a horizontal line. Since the position - time graph is a straight line (indicating a constant slope), the velocity is constant. A constant velocity is represented by a horizontal line on a velocity - time graph. So, the correct velocity - time graph is a horizontal line at a non - zero value (because the position is changing with time, so there is a non - zero velocity).

Explanation:

Step1: Recall the relationship between position and velocity

Velocity $v=\frac{\Delta x}{\Delta t}$, which is the slope of the position - time graph.

Step2: Analyze the position - time graph

The given position - time graph is a straight line. A straight - line position - time graph has a constant slope.

Step3: Determine the velocity

Since the slope of the position - time graph is constant, the velocity is constant. A constant velocity is shown as a horizontal line on a velocity - time graph.