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

A graph with horizontal axis time (seconds) and vertical axis position (meters). A line runs straight upward from 0 seconds 0 minutes.

A graph labeled velocity versus time with horizontal axis time (seconds) and vertical axis velocity (meters per second). A straight line begins at 0 seconds 10 meters per second and runs to 5 seconds 2 meters per second.

The velocity vs. time graph that corresponds to the data shown by the position vs. time graph is the graph that has continuous acceleration (straight line).

What does a straight line on an acceleration graph implies?

The above statement means a constant acceleration. A straight lines is simply known to be a constant acceleration that is said to be unchanging.

Note that when there is a curved lines in a graph, it implies that there is a non-constant acceleration. Therefore an object that is undergoing constant acceleration is one that can be seen in a straight line.

So therefore, the velocity vs. time graph is one that matches with the data represented by the continuous acceleration (straight line) on the graph.

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