PART [I] : CHOOSE AND FULLY SOLVE ONLY ONE OF THE FOLLOWING 1W0. CHOICE A: FREE-FLOATING (35 PTS) A boat travels down a river. Relative to the water, the boat moves at a constant speed of 10 mfs in a direction of 30" SE. Relative to the riverhenk, the water moves at a constant speed of 12 mls in a direction of 45\" SW. A. Relative to the boat, in what direction is the water moving? PROVIDE POINTS of the COMPASS and AN ANGLE (3 pts)? B. Relative to the boat, how fast is the riverbank moving (3 pts)? C. From the waters frame of reference, at what velocity is the water moving (2 pts)? D. From the perspective of the riverbank, at what velocity is the boat moving? (two parts) iii. Find the answer graphically, by drawing vector arrows. Your drawings must be more or less to scale. Each vector must be clearly labeled, along with its angle and magnitude. Based on your drawing, write down your best estimate of the speed and direction of the riverbank relative to the water (5 pts) iv. Find an exact numerical answer, using vector components. You must provide BOTH a magnitude and a 2-dimensional direction (i.e. angle)in the appropriate units. Show ALL work: This work must include at least three triangles each composed of arrows (not just lines) (15 pts total: 3 pts each triangle, 3 pts computation) E. A mosquito is sitting in the boat: it moves at exactly the velocity of the boat. A frog is sitting on a rock in the river: he moves at exactly the velocity of the riverbank. How fast is the ag moving relative to the mosquito (3 pts)? F. At a certain moment, the mosquito is right next to the frog. After four seconds, how far is the mosquito from the frog, and in what direction (4 pts)