3. For a model rocket, the altitude h, in meters, can be written as a function of time t, in seconds. The rocket is shot from the ground and it has an initial velocity of 81 meters per second.
a) What are the independent and dependent variables for this situation?
b) Write a function that models the height of the rocket.
c) How long does the rocket take to reach the maximum height? What is the maximum height?
d) When will the rocket hit the ground?
e) At what time(s) will the rocket be 300 meters above the ground?
f) State the domain and the range for the situation.
g) Graph the function.