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Suppose you are traveling in a car along the highway at 100 feet per second [about 68 miles per hour].
A chart showing the car's travel may look like this:
Graphing the car's speed would look like this:
The value of the slope is the rate at which the position is changing
Graphing the car's displacement would look like this:
The slope of a graph at any given point is equal to the rate of change at that point
Rates of change are not always constant as they are in the previous example. In fact, rates of change rarely remain constant. In the following example, the temperature rises over time but not at a constant rate.
The graphs of temperature vs. time, change in temperature [��T] vs. time and total change in temperature [��T] vs. time are illustrated below
Can you tell which graph is which?
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