2. A model rocket is launched straight up from ground level with an initial velocity of 96 feet per second. Its height, in feet, after t seconds is given by the equation s(t) =-16t +96t. a. What is the model rocket's maximum height and when in its flight does it reach this point? b. At what time(s) will it reach a height of 80 feet? c. After how many seconds will it return to the ground? Question(s) a., b., and c. should also be answered in sentence form. In addition to showing the calculations that lead to your solution, write a synopsis of the tactic(s) you used to arrive at your solution(s) to this series of questions. Use clear and concise vocabulary, sentence structure, and grammar. Your answer should be labelled with appropriate units and reflect the context used in this question.

See the illustration below. The formula m + M V = (2gh)!/2 gives the velocity (in ft/sec) of a bullet with weight m fired into a block with weight M, that raises the height of the block h feet after the collision. The letter g represents the constant, 32. Find the velocity of the bullet to the nearest ft/sec, if m = 0.0624, M = 6, and h 0.9. V = ft/sec m lb M lb I h ft