Question: An air traffic controller spots two planes at the same altitude flying toward each other. Their flight paths are 200 and 3150 . One plane is 150 miles from point \(P\) with a speed of 375 miles per hour. The other is 190 miles from point \(P\) with a speed of 450 miles per hour.

1. Find parametric equations for the path of each plane where \(t\) is the time in hours, with \(t=0\) corresponding to the time at which the air traffic controller spots the planes.
2. Use the result of part a) to write the distance between the planes as a function of t.
3. Graph the function in part b). When will the distance between the planes be minimum? If the planes must keep a separation of at least 3 miles, is the requirement met?

Price: $2.99

Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document