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| PAGE: 108 | SET: Exercises | PROBLEM: 19 |
(a) Build a model that expresses the distance 
between the cars as a function of time 
.
At 
, the cars are 
miles south and 
miles east of the intersection, respectively.
Draw the related diagram.
A is moving at a constant speed of 
miles per hour.
B is moving at a constant speed of 
miles per hour.
If is in hours, 
is the distance travelled with the speed mph at time .
is the distance travelled with the speed mph at time .
The distance from car A to the intersection is 
.
The distance from car B to the intersection is 
.
Apply Pythagorean theorem, 
.
.
(b)
Graph the function .
Locate the minimum point on the graph.
is smallest when 
hr.
(a) .
(b) is smallest when hr.
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