A rock is thrown upward at a speed of 85 ft/sec from the top of a 100-foot-high cliff overlooking the ocean. The rock's height above the ocean can be modeled by the function f(x)=−16x2+85x+100 where f(x) represents the height of the rock as a function of time, x. Match each question below with the characteristic of the function that is necessary to answer it. (3 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. After how many seconds would the rock hit the ocean? After how many seconds does the rock reach its maximum height? What is the maximum height of the rock?

1 answer

After how many seconds would the rock hit the ocean? - The rock hits the ocean when its height above the ocean is 0.

After how many seconds does the rock reach its maximum height? - The rock reaches its maximum height at the vertex of the parabolic function.

What is the maximum height of the rock? - The maximum height of the rock is the y-coordinate of the vertex of the parabolic function.