Determine the position function s and the velocity function of V( for all times t)

12. [5/13 Points] DETAILS PREVIOUS ANSWERS SCALCET8 4.9.078. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is a(t) = 96t, at which time the fuel is exhausted and it becomes a freely "falling" body. Nineteen seconds later, the rocket's parachute opens, and the (downward) velocity slows linearly to -16 ft/s in 5 seconds. The rocket then "floats" to the ground at that rate. (a) Determine the position function s and the velocity function v (for all times t). calcPad X if O St s 3 + Operations Functions X if 3 27 VO Vectors Trig Greek if Osts 3 Help if 3 27 Sketch the graph of v. 400 TTTT