How can you use graphs to calculate the displacement of an object?
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a. find the area under the position-time graph
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b. find the slope of the position-time graph
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c. find the area under the velocity-time graph
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d. find the slope of the velocity-time graph

C

Explanation:

The order is this: Displacement --> Velocity --> Acceleration.  The velocity directly affects the displacement and the acceleration directly affects the velocity. (changing the acceleration changes the velocity which also changes the displacement).

To go forward in our order, find the slope of the curve/line.  To go backwards, find the area under the curve/line.  In this case, we are trying to find the displacement of the object, so we should find the area of a velocity-time graph.

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