Question

a jogger runs around a circular track of radius 50ft. let (x,y) be her coordinates, where the origin is the center of the track. when the jogger's coordinates are (30,40), her x coordinate is changing at a rate of 11 ft/s/ find dy/dt.

Answer 1

-33/4 ft/s

Explanation:

`x^2+y^2=2500 \\ \\ 2x (dx)/(dt)+2y (dy)/(dt)=0 \\ \\ x(dx)/(dt)+y (dy)/(dt)=0 \\ \\ (30)(11)+40 (dy)/(dt)=0 \\ \\ (dy)/(dt)=-(33)/(4)`