Solve the Problem
-An Arrow Is Fired into the Air $h ( x ) = - 16 t ^ { 2 } + 96 t$

question 88

Multiple Choice

Solve the problem
-An arrow is fired into the air with an initial velocity of 96 feet per second. The height in feet of the arrow t seconds after it was shot into the air is given by the function $h ( x ) = - 16 t ^ { 2 } + 96 t$ . Find the maximum height of the arrow.

• A) \(432 \mathrm { ft }\)
• B) \(144 \mathrm { ft }\)
• C) \(48 \mathrm { ft }\)
• D) \(240 \mathrm { ft }\)

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Definitions:

Industry Output

The total amount of goods or services produced by a particular industry over a specific time period.

Decline

A decrease in the quantity, quality, or level of something, often indicating a negative trend.

Upward Sloping

A term describing a line on a graph that moves higher as you move from left to right, used in various economic contexts.

Long-Run Supply Curve

A graphical representation showing the relationship between market prices and the amount of output produced over time, considering all inputs as variable.