A ball is thrown vertically, from a height h=12.7m, with velocity vi. It lands on the ground after a time interval t. Coordinate axes are indicated in the figure. Assume that air resistance is negligible. What is an expression for the vertical component of the total displacement of the motion, y, in terms of initial height h? What is an expression for y, in terms of t, a, and the vertical component of the initial velocity, vi? For the case where the ball starts at rest, what is an expression for t in terms of a and y? Return to the general case, vi 0, what is an expression for the vertical component of the final velocity, vf, at the instant of impact with ground, in terms of vi, a, and t?