Question

A ship is moving at a speed of 30 kmph parallel to a straight shoreline. The ship is 6 km from shore and it passes a lighthouse at noon.

(a) Express the distance s between the lighthouse and the ship as a function of d, the distance the ship has traveled since noon; that is, find f so that .

(b) Express d as a function of t, the time elapsed since noon;

that is, find g so that

(c) Find . What does this function represent?