During an eruption, a volcano that is 10,000 feet tall shoots a rock into the air with an initial vertical velocity of 220 feet per second. What is the maximum height of the rock, rounded to the nearest foot?

The maximum height, rounded to the nearest foot is 12,469ft.

Step-by-step explanation:

The time it takes for the rock to reach maximum height is when

Now, the vertical displacement of the rock is given by the function

,

where is the height of the mountain . Putting in the numbers we get:

Now, when the rock reaches its maximum height at , we have

which is the maximum height the rock reaches.

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step-by-step explanation:

the answer is d

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