Answer:
11.25 ft/sec
Step-by-step explanation:
Given that a jogger runs around a circular track of radius 55 ft.
. Let (x,y) be her coordinates, where the origin is the center of the track.
Then we know x,y satisfies the equation of the circle as
Let us differentiate this implicit function with respect to t
At this point, dx/dt 15 and x=33. y =44
Substitute to have
dy/dt = 11.25 ft /s