The function g(t) = -16t^2+140t describes the height of a model rocket over time.
a. Use technology to sketch the graph the function and label the axes.
b. What is the height of the model rocket after 5 seconds?
c. After approximately how many seconds is the model rocket at a height of 200 feet?
d. What is the maximum height the model rocket reaches? At what time does the rocket reach this height?
e. What is the domain of the function? What is the domain of the problem situation, and what does it mean it terms of the context?