A toy rocket is lauched from the top of a building 120 feet tall at an initial velocity of 200 ft/sec. The position at time t is given by s(t) = -16t2+v0t+s0 and the velocity at time t is given by v(t) = -32t+v0 where v0 is the initial velocity and s0 is the initial height. a) sketch a graph of the path of the rocket from launch to landing b) sketch a graph of the velocity from launch to landing c) how does the graph of the velocity relate to the path of the rocket? that is discuss and compare the behavior of the position of the rocket with the velocity d) using the symmetry of the parabola, how does the time when the rocket reaaches its maximum height relate to the time it returns to 120 feet