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. using the velocity function, a) give the function that describes the velocity of the rocket at time t b) determine thee time at which the rocket reaches its maximum height, and the maximum height in feet c) for what time interval will the rocket be more than 400 feet above ground