Solve the Problem $\mathrm { s } ( \mathrm { t } )$

question 133

Multiple Choice

Solve the problem.
-An arrow is fired straight up from the ground with an initial velocity of 240 feet per second. Its height, $\mathrm { s } ( \mathrm { t } )$ , in feet at any time $t$ is given by the function $s ( t ) = - 16 t ^ { 2 } + 240 t$ . Find the interval of time for which the height of the arrow is greater than 116 feet.

• A) between \(\frac { 1 } { 2 }\) and \(\frac { 29 } { 2 } \mathrm { sec }\)
• B) after \(\frac { 1 } { 2 } \sec\)
• C) before \(\frac { 29 } { 2 } \mathrm { sec }\)
• D) before \(\frac { 1 } { 2 }\) sec or after \(\frac { 29 } { 2 } \mathrm { sec }\)

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