A toy rocket is launched from the top of a building 90 feet tall at an initial velocity of 175 feet per second. The position at time t is given by s(t) = -16t^2 + Vot +So and the velocity at time t is given by v(t) = -32t + Vo where Vo is the initial velocity and So is the initial height. Using the velocity function: a) Give the function that describes to velocity of the rocket at time t. b) Find when the velocity is 0. c) What is the height when the velocity is 0? d) Using the time from 1d, find the velocity when the rocket returns to 90 feet above ground.