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

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 $\frac { 29 } { 2 } \mathrm { sec }$