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 monthfeet 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.