Solve the Problem $176 \mathrm { ft } / \mathrm { sec }$

Multiple Choice

Solve the problem.
-A flare fired from the bottom of a gorge is visible only when the flare is above the rim. If it is fired with an initial velocity of $176 \mathrm { ft } / \mathrm { sec }$ , and the gorge is $448 \mathrm { ft }$ deep, during what interval can the flare be seen? $\left( \mathrm { h } = - 16 \mathrm { t } ^ { 2 } + \mathrm { v } _ { \mathrm { O } } \mathrm { t } + \right.$ $\mathrm { h } _ { \mathrm { O } }$ .)

A) $0 < t < 4$
B) $8 < t < 11$
C) $4 < \mathrm { t } < 7$
D) $12 < t < 15$