91Ó°ÊÓ

Juli is going to launch a model rocket in her back yard. When she launches the rocket, the function \(h(t)=-16 t^{2}+32 t\) models the height, \(h\), of the rocket above the ground as a function of time, \(t\). Find: (a) the zeros of this function, which tell us when the rocket will be on the ground. (b) the time the rocket will be 16 feet above the ground.

Solve. Gianna is going to throw a ball from the top floor of her middle school. When she throws the ball from 48 feet above the ground, the function \(h(t)=-16 t^{2}+32 t+48\) models the height, \(h\), of the ball above the ground as a function of time, \(t\). Find: (a) the zeros of this function which tells us when the ball will hit the ground. (b) the time(s) the ball will be 48 feet above the ground. (c) the height the ball will be at \(t=1\) seconds which is when the ball will be at its highest point.