If a Ball Is Thrown Directly Upward with a Velocity $y = 48 t - 16 t ^ { 2 }$

question 50

Multiple Choice

If a ball is thrown directly upward with a velocity of 48 ft/s, its height (in feet) after t seconds is given
By $y = 48 t - 16 t ^ { 2 }$
) What is the maximum height attained by the ball?

• A) \(48 \mathrm { ft }\)
• B) \(16 \mathrm { ft }\)
• C) \(32 \mathrm { ft }\)
• D) \(54 \mathrm { ft }\)
• E) none of these

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Definitions:

Equilibrium Quantity

The quantity of goods or services supplied that equals the quantity demanded at the market equilibrium price.

Positively Sloped

A line or curve on a graph that increases in value as it moves from left to right, indicating a direct relationship between two variables.

Negatively Sloped

A descriptor for a line on a graph that moves downwards from left to right, indicating an inverse relationship between the variables plotted.

Total Surplus

The total net gain to society from creating and consuming goods and services, encapsulated by the combination of consumer and producer surplus.