2. (50 points) Jack and a Jill are standing on flat ground in front of an empty well that extends a depth s below the ground. Jill tosses a penny down the well with an initial velocity uo, while Jack decides to toss a penny up with an initial velocity vo. a) (15 points) Draw the position vs. time graph for the motion of Jack's and Jill's penny from time t=0, when the initially tossed it, to the time when the penny hits the bottom of the well. Clearly label your axes and initial conditions (such as s) and the time the penny hits the bottom of the well on your graph. b) (15 points) Draw the velocity vs. time graph for the motion of Jack's and Jill's penny from time t=0, when the initially tossed it, to the time when the penny hits the bottom of the well. Clearly label your axes and initial conditions (such as uo and vo) and the time the penny hits the bottom of the well on your graph. c) (20 points) How long does it take for Jack and Jill's pennies to hit the bottom of the well? Express your answer in terms of know quantities such as vo, uo, s, and g, where g is the acceleration due to gravity.