Solve the Problem $s = 576 - 16 \mathrm { t } ^ { 2 }$

question 60

Multiple Choice

Solve the problem.
-A ball dropped from the top of a building has a height of $s = 576 - 16 \mathrm { t } ^ { 2 }$ meters after $\mathrm { t }$ seconds. How long does it take the ball to reach the ground? What is the ball's velocity at the moment of impact?

• A) \(36 \mathrm { sec } , - 1152 \mathrm {~m} / \mathrm { sec }\)
• B) \(6 \mathrm { sec } , 192 \mathrm {~m} / \mathrm { sec }\)
• C) \(12 \mathrm { sec } , - 96 \mathrm {~m} / \mathrm { sec }\)
• D) \(6 \mathrm { sec } , - 192 \mathrm {~m} / \mathrm { sec }\)

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Definitions:

Monopoly Profit

The excess earnings that a firm can achieve when it is the sole provider of a product or service with no close substitutes, due to its market power.

Contrived Scarcity

An artificial limitation of supply to increase prices, often practiced by monopolies or through regulatory constraints.

Usury Law

Usury laws are regulations governing the amount of interest that can be charged on a loan, intended to protect consumers from excessive and unreasonable interest rates.

Interest Rate

The proportion of a loan that is charged as interest to the borrower, typically expressed as an annual percentage of the loan outstanding.