An analysis of the daily output of a factory assembly line shows that about 50t + t2 - - 1 108 units are produced after t hours of work, Osts 8. What is the rate of production (in units per hour) when t= 6? . . . At t = 6, the rate of production is units per hour.A toy rocket fired straight up into the air has height s(t) = 112t -16t feet after t seconds. a. What is the rocket's initial velocity (when t = 0)? b. What is the velocity after 2 seconds? c. What is the acceleration when t= 5? 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? . . . a. The rocket's initial velocity is 112 ft/sec. b. After 2 seconds, the velocity of the rocket is 49 ft/sec. c. When t= 5, the acceleration of the rocket is fu/sec2 . d. The rocket will hit the ground seconds after it is launched. e. When the rocket smashes into the ground, it will be travelling at ft/sec