Question

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

Explanation:

Step1: Recall velocity - position relationship

Velocity is the slope of the position - time graph.

Step2: Analyze given position - time graph

The position - time graph is a straight line, which means the slope is constant. A constant slope of the position - time graph implies a constant velocity.

Step3: Determine the corresponding velocity - time graph

A constant velocity is represented by a horizontal line on a velocity - time graph. The given velocity - time graph with non - constant velocity (has acceleration and deceleration phases) does not match. The correct velocity - time graph should be a horizontal line above the time - axis (since the position is increasing with time, velocity is positive).

Answer:

The correct velocity - time graph is a horizontal line above the time - axis (not the one shown in the provided options as it is incorrect for the given position - time graph).