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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