A toy rocket fired straight up into the air has height s(t) = 224t - 16t feet after t seconds. a. What is the rocket's initial velocity (when t=0)? b. What is the velocity after 6 seconds? c. What is the acceleration when t = 11? d. At what time will the rocket hit the ground? e. At what velocity will the rocket be traveling just as it smashes into the ground?