TASK The Water Skier: Where's the Dock? Water-skiing is a popular summertime Skier activity across Canada. A skier, holding onto a towrope, is pulled across the water by a motorboat. Boat Linda goes waterskiing one sunny afternoon. After skiing for 15 min, she signals to the driver of the boat to take her back to the clock. The driver steers the boat toward the dock, turning in a parabolic path as it nears. If Linda lets go of the towrope B W at the right moment, she will glide to a stop near the dock. Let the vertex of the parabola travelled by C the boat be the origin. The dock is located 30 rn east and 30 111 north of the origin. The boat begins its approach to the clock 30 n1 west and 60 n1 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.) It} If Linda lets go of the towrope when she reaches point B, where is Linda headed relative to the dock? r] 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. As you work through the task, be sure to explain your reasoning and use diagrams to support your answers