SOLUTION: Two cars leave a right angle intersection at the same time. One is heading south at a constant speed of 80 miles per hour, and the other is headed west at a constant speed of 60 mi

Algebra ->  Functions -> SOLUTION: Two cars leave a right angle intersection at the same time. One is heading south at a constant speed of 80 miles per hour, and the other is headed west at a constant speed of 60 mi      Log On


   

Question 944433: Two cars leave a right angle intersection at the same time. One is heading south at a constant speed of 80 miles per hour, and the other is headed west at a constant speed of 60 miles per hour. Express the distance d between the cars as a function of time, t. Find the domain of d.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two cars leave a right angle intersection at the same time.
One is heading south at a constant speed of 80 miles per hour, and the other is headed west at a constant speed of 60 miles per hour.
Express the distance d between the cars as a function of time, t.
:
80t = distance traveled by the southbound car
60t = distance traveled by the westbound
:
The distance between them is the square root of these two distances squared
(a right triangle, with legs of 80t and 60t, distance between them is the hypotenuse)
d = sqrt%28%2880t%29%5E2+%2B+%2850t%29%5E2%29
looks like this, ignore the negative t

:
Find the domain of d, positive real numbers, 0 ... oo+