UCSS Math III 4B.4.1 Example 2

The graph models the distance, , traveled by a speeding car moving at a constant rate of 80 miles per hour, and the distance covered by a state patrol car, , until the patrol car intercepts the speeding car after 5 seconds (). The general equations for the cars are for the speeding car and for the state patrol car, in which a is the acceleration in miles per second squared. Write the specific equations for the two distances at a time of 5 seconds, and determine appropriate horizontal and vertical axis scales on the graph to reflect the given problem conditions.