word problem

Question

Please answer the following 3 questions

1. What are the zeros of a graph and how do you find them by graphing? Provide complete details and answer in a complete sentence.

2. Two physics students built a model rocket for a class project. Once the rocket is launched, its height in feet, h(t), can be found using the height function

h(t) = -16t² + 96t where t represents time in seconds. Find the time when the rocket finally hits the ground. Explain how you solved this problem.

3. A model rocket is launched upward and it follows a parabolic shape until it finally falls to the ground. You are asked to find the maximum height of the rocket by graphing. You cannot just graph and "trace the curve" to find the answer. Explain why, specify which calculator function you would need to use, and how it is done.

Answer 1

1) The x value of the point at which the graph intercepts the abscissa (the x-intercept)

2) Solve: 0 = -16t² + 96t

3) Maximum at t = -96 / 2(-16)