Aircraft A is flying east at 320 mi/hr, while aircraft B is flying south at 160 mi/hr. At...

Aircraft A is flying east at 320 mi/hr, while aircraft B is flying south at 160 mi/hr. At 1:00 p.m. the aircraft are located as shown in Figure P57.

Figure P57

a. Obtain the expression for the distance D between the aircraft as a function of time. Plot D versus time until D reaches its minimum value.

b. Use the roots function to compute the time when the aircraft are first within 30 mi of each other.