A Flare Fired from the Bottom of a Gorge Is $\left( h ( t ) = - 16 t ^ { 2 } + v 0 t + h 0 . \right)$

Multiple Choice

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 112 ft/sec and the gorge is 160 ft deep, during what interval can the flare be seen?
$\left( h ( t ) = - 16 t ^ { 2 } + v 0 t + h 0 . \right)$

A) $6 \sec < \mathrm { t } < 9 \mathrm { sec }$
B) $4 \mathrm { sec } < t < 7 \mathrm { sec }$
C) $2 \mathrm { sec } < t < 5 \mathrm { sec }$
D) $0 \mathrm { sec } < t < 2 \mathrm { sec }$