SOLUTION: A truck is 300 miles due east of a car and is traveling at a constant speed of 30 miles per hour. Meanwhile, the car is going north at a constant speed of 60 miles per hour. Expres

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Question 530542: A truck is 300 miles due east of a car and is traveling at a constant speed of 30 miles per hour. Meanwhile, the car is going north at a constant speed of 60 miles per hour. Express the distance between the car and truck as a function of time
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A truck is 300 miles due east of a car and is traveling at a constant speed of 30 miles per hour.
Meanwhile, the car is going north at a constant speed of 60 miles per hour.
Express the distance between the car and truck as a function of time
:
Assuming the truck is traveling east, let t = travel time of both
The distance between the two will be the hypotenuse of a right triangle
f(t) = sqrt%28%2860t%29%5E2%2B%28300%2B30t%29%5E2%29