Solve the Problem $t$ In Seconds Is $\mathrm { s } = 16 \mathrm { t } ^ { 2 } + 32 \mathrm { t }$

question 59

Multiple Choice

Solve the problem. Give the answer to the nearest tenth.
-A ball is thrown downward from a window in a tall building. Its position at time $t$ in seconds is $\mathrm { s } = 16 \mathrm { t } ^ { 2 } + 32 \mathrm { t }$ , where $s$ is in feet. How long (to the nearest tenth) will it take the ball to fall 280 feet?

• A) \(3.3 \mathrm { sec }\)
• B) \(10.9 \mathrm { sec }\)
• C) \(3.1 \mathrm { sec }\)
• D) \(4.2 \mathrm { sec }\)

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Definitions:

Interest Rate

The cost incurred by a borrower for the privilege of using funds, defined as a percentage of the principal value.

Indifferent

A state of having no preference between two or more outcomes; neutrality in preference.

Interest Rate

The percentage at which interest is paid by borrowers for the use of money that they borrow from a lender.

Future Value

The amount of money in the future that an amount of money today will yield, given prevailing interest rates