Find All Numbers That Satisfy the Following $\mathrm { s } ( \mathrm { t } )$

question 60

Multiple Choice

Find all numbers that satisfy the following.
-An arrow is fired straight up from the ground with an initial velocity of 128 feet per second. Its height, $\mathrm { s } ( \mathrm { t } )$ , in feet at any time $\mathrm { t }$ is given by the function $\mathrm { s } ( \mathrm { t } ) = - 16 \mathrm { t } ^ { 2 } + 128 \mathrm { t }$ . Find the interval of time for which the height of the arrow is greater than 156 feet.

• A) after \(\frac { 3 } { 2 } \mathrm { sec }\)
• B) between \(\frac { 3 } { 2 }\) and \(\frac { 13 } { 2 } \mathrm { sec }\)
• C) before \(\frac { 3 } { 2 }\) sec or after \(\frac { 13 } { 2 }\) sec
• D) before \(\frac { 13 } { 2 } \mathrm { sec }\)

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Definitions:

Antagonist

A substance that blocks or dampens the action of a neurotransmitter or hormone, or a character in a story who opposes the protagonist, creating conflict.

Agonist

An agonist is a chemical or drug that binds to receptors in the body and activates them to produce a biological response.

Synapses

The junctions at which neurons communicate with other neurons, muscles, or glands through electrical or chemical signals.

Normal Development

Refers to the predictable pattern of growth and change that occurs in individuals across the lifespan, including physical, cognitive, and emotional aspects.