Problema Solution
Two planes leave an airport at the same time, one traveling west at 550 mi/hr and the other traveling south at 480 mi/hr. At what rate is the distance between them changing 30 min after they leave the airport?
Answer provided by our tutors
the distance at the start moment is 0
after o.5 hours the distance can be calculated using the Pythagorean Theorem
(550*0.5)^2 + (480*0.5)^2 = 108,225 = 329^2
the rate of the distance change per hour is
329/0.5 = 164.5 mi/hr