Solve the rational inequality. Write the solution set in interval notation.
-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 $208 \mathrm { ft } / \mathrm { sec }$, and the gorge is $672 \mathrm { ft }$ deep, during what interval can the flare be seen? $\left( h = - 16 t ^ { 2 } + v _ { 0 } t + h _ { 0 } \right)$
A) $6

Question

Solve the rational inequality. Write the solution set in interval notation.
-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 $208 \mathrm { ft } / \mathrm { sec }$, and the gorge is $672 \mathrm { ft }$ deep, during what interval can the flare be seen? $\left( h = - 16 t ^ { 2 } + v _ { 0 } t + h _ { 0 } \right)$
A) $6 < t < 7$
B) $0 < t < 6$
C) $12 < t < 13$
D) $18 < \mathrm { t } < 19$

Quizplus · Accepted Answer

The flare is visible when its height $ h $ is greater than 0. Using the equation $ h = -16t^2 + 208t - 672 $, we solve for $ t $ when $ h > 0 $. Solving the quadratic inequality gives the interval $ 6 < t < 7 $.

Solve the Rational Inequality 208ft/sec208 \mathrm { ft } / \mathrm { sec }208ft/sec

Solve the Rational Inequality $208 \mathrm { ft } / \mathrm { sec }$