Asked by Travis
Two planes leave an airport simultaneously. One travels north at 300 mph and the
other travels west at 400 mph. How fast is the distance between them changing after 10 minutes?
other travels west at 400 mph. How fast is the distance between them changing after 10 minutes?
Answers
Answered by
Steve
Using a scaled-up 3-4-5 triangle, the distance after 10 minutes is 1/6 (500) miles.
If z is the distance between them after t hours, then
z^2 = (300t)^2 + (400t)^2
z dz/dt = 2*300^2 t + 2*400^2 t
Now just plug in your numbers with t = 1/6
If z is the distance between them after t hours, then
z^2 = (300t)^2 + (400t)^2
z dz/dt = 2*300^2 t + 2*400^2 t
Now just plug in your numbers with t = 1/6