Linda goes water-skiing one sunny afternoon. After skiing for 15 min, she signals to the driver of the boat to take her back to the dock. The driver steers the boat toward the dock, turning in a parabolic path as it nears. If linda lets go of the tow-rope at the right moment she will glide to a stop near the dock. Let the vertex of the parabola travelled by the boat be the origin. The dock is located 30 m east and 30 m north of the origin. The boat begins its approach to the dock 30 m west and 60 m north of the origin.

Linda goes water-skiing one sunny Boat afternoon. After skiing for 15 min, she signals to the driver of the boat to take her back to the dock. The driver steers the boat toward the dock, turning in a parabolic path as it nears. If Linda lets go of the towrope B at the right moment, she will glide to a stop Dock near the dock. Let the vertex of the parabola travelled by the boat be the origin. The dock is located 30 m east and 30 m north of the origin. The boat begins its approach to the dock 30 m west and 60 m north of the origin. a) If Linda lets go of the towrope when she reaches point A, where is she headed relative to the dock? Use an equation to describe the path. (Hint: She will travel in a straight line.) b) If Linda lets go of the towrope when she reaches point B, where is Linda headed relative to the dock? () If Linda waits until point C, how close will her trajectory be to the dock? d) At what point should Linda release the towrope to head straight for the dock? e) What assumptions have you made? f) To make this situation more realistic, what additional information would you need? Create this information, and solve part d) using what you have created