Question

which velocity vs. time graph corresponds to the data represented by the position vs. time graph? there are two graphs: one is a position - time graph (a straight line with negative slope) and one is a velocity - time graph (a polygonal line with velocity on the y - axis (0 - 25 m/s) and time on the x - axis (0 - 5 s))

Explanation:

Step1: Recall the relationship between position - time and velocity - time graphs

The slope of a position - time graph gives the velocity. If the position - time graph is a straight line with a negative slope, the velocity is constant and negative.

Step2: Analyze the given position - time graph

The position - time graph is a straight line with a constant negative slope. In a velocity - time graph, a constant velocity (negative in this case) is represented by a horizontal line below the time - axis (since velocity is negative).

Answer:

The velocity - time graph corresponding to the given position - time graph is a horizontal line with a negative value (constant velocity)