Chapter 10.7, Problem 58AYU

Uniform Motion A Cessna (heading south at $120$ mph) and a Boeing $737$ (heading west at $600$ mph) are flying toward the same point at the same altitude. The Cessna is $100$ miles from the point where the flight patterns intersect, and the $737$ is $550$ miles from this intersection point. See the figure.

Find parametric equations that model the motion of the Cessna and the $737.$

Find a formula for the distance between the planes as a function of time.

Graph the function in part (b) using the graphing utility.

What is the minimum distance between the planes? When are the planes closest?

Simulate the motion of the planes by simultaneously graphing the equations found in part (a).