For this discussion let's throw a ball with the initial velocity equaling your birth date (day) feet per second and from the initial height being your birth month feet above the ground.
Since I was born on June 18th, my function is:
h(t)=-16t^2+18+6
Answer the following questions:
- What is the maximum height reached by the ball?
- How long does it take to reach that height?
Show your work extensively and talk through the process.