This question is a long free-response question. your work for each part of the question. Sphere Floor Motion of a Sphere Students are studying the two-dimensional motion of objects as they mwe through the air. Specifically, they are examining the behavior of a sphere that is launched horizontally from a location above the floor with an nitial velocity uO in the direction, as shown in the figure. The students assume that the positive directions are along the sphere's initial velocity for horizontal motion and downward for vertical motion. The horizontal displacement of the object from fts starting point is x, and the vertical disp*acement of lhe object from. its starting point is y One oflhe students derives an equation for yin terms of and other quantities. After examining the equation, the student claims that y is proportional to x (a) Derive an equation for the vertical coordinate yof the sphere as a function of c, vo, and physical constants, as appropriate