4. The human cannonball is an art where a performer is launched through the air. The height of the performer can be modeled by a quadratic function given that he leaves the cannon at a rate 14 ft per second and the opening of the cannon is 13 feet off the ground. The circus act is considering a flight path
directly over the main tent.

a) What are the independent and dependent variables for this situation?

b) Write a function that models the height of the performer.

c) Approximately when will the performer reach his maximum height and what is it?

d) How long does it take for the human cannonball to come in for a landing?

e) After being shot from the cannon, at what time will the performer be 15 feet high?

f) State the domain and the range for the situation

g) Graph the function.