A Toyota Camry (traveling east at 40 mph) and a Chevy Impala (traveling north at 30 mph) are heading toward the same intersection. The Camry is 5 miles from the intersection when the Impala is 4 miles from the intersection. See the figure. 

(a) Find parametric equations that model the motion of the Camry and Impala. 

(b) Find a formula for the distance between the cars as a function of time. 

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

(d) What is the minimum distance between the cars? When are the cars closest? 

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

Transcribed Image Text:

-5 mi- 40 mph 4 mi 130 mph