Solve the Rational Inequality $\mathrm { h } = - 9.8 \mathrm { t } ^ { 2 } + 78.4 \mathrm { t }$

Multiple Choice

Solve the rational inequality. Write the solution set in interval notation.
-If a rocket is propelled upward from ground level, its height in meters after t seconds is given by $\mathrm { h } = - 9.8 \mathrm { t } ^ { 2 } + 78.4 \mathrm { t }$ . During what interval of time will the rocket be higher than 147 m?

A) 3 < t < 5
B) 6 < t < 8
C) 0 < t < 3
D) 5 < t < 6