Solve the Problem $\mathrm { P } ( \mathrm { t } ) = 5 \mathrm { t } ^ { 2 } + 28$

question 85

Multiple Choice

Solve the problem.
-A rocket is stopped 28 feet from a satellite when it begins accelerating away from the satellite at a constant rate of 10 feet per second per second. The distance between the rocket and the satellite is given by the polynomial $\mathrm { P } ( \mathrm { t } ) = 5 \mathrm { t } ^ { 2 } + 28$ . Find the distance between the rocket and the satellite 9 seconds after the rocket started moving.

• A) \(109 \mathrm { ft }\)
• B) \(73 \mathrm { ft }\)
• C) \(405 \mathrm { ft }\)
• D) \(433 \mathrm { ft }\)

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Definitions:

Histidine

An essential amino acid important in many proteins, playing a key role in enzymes and the buffering of pH in blood.

Phenylalanine

An essential amino acid that is a precursor to neurotransmitters and must be obtained through diet.

Tyrosine

An amino acid that is a building block of protein, essential for protein synthesis in humans.

Cyclic Side Chain

A side chain forming a ring structure within a larger molecule, contributing to the molecular functionality and properties.