MAFS.912.F-IF.3.8 The engineers at Estes Rockets are trying to improve its best selling model rocket for a faster launch speed an higher maximum altitude. The height of the rocket can be calculated by the equation h(t)16t12 where h represents height in feet and t represents time in seconds. a. Rewrite the height function so that the engineers can identify the maximum height easily. What is the maximum height of the new model? How long will it take for the rocket to reach this height? How long will the rocket be in the air? When the rocket reaches 60 feet on the descent, a parachute is released to cushion the fall. When will the b. c. parachute be released? d. The height of the old model can be calculated using the equation h(c)-14t2 +112t. Represent this function in a different form than in part a. Is the new model indeed an improvement on height and launch speed? Why or why not? Use mathematics to support your answer.