two small planes take off from the same airport at the same time. One travels north at 200 km/h, and the other, west at 150 km/h. If the planes fly at the same altitude, how fast are they separating after 2 hours?

Answer 1

the separation distance z after t hours is found using

z^2 = (200t)^2 + (150t)^2

so, find dz/dt when t=2