The Vertical Motion Model states that the quadratic function h(t)=-16t+ 38t+5 models the path of a rocket propelled into the air from a launch pad 5 feet off the ground. Use this model to answer the following questions: a. How long does it take for the rocket to reach its maximum height? b. What is the rocket's maximum height? c. How long does it take for the rocket to land back on earth?