A Flare Is Fired from the Bottom of a Gorge $t$

Multiple Choice

A flare is fired from the bottom of a gorge with an initial velocity of 144 feet per second, and it is visible only when the flare is above the rim. The height of the flare, in feet, after $t$ seconds is given by the function $h(t) =-16 t^{2}+144 t$ . If the gorge is 288 feet deep, for what length of time can the flare be seen?

A) $6 \mathrm{sec}$ to $9 \mathrm{sec}$
B) $3 \mathrm{sec}$ to $6 \mathrm{sec}$
C) $0 \mathrm{sec}$ to $3 \mathrm{sec}$
D) $9 \mathrm{sec}$ to $12 \mathrm{sec}$