Solve the Problem $t$ Seconds Is Given By $\mathrm{h}=-9.8 \mathrm{t}^{2}+117.6 \mathrm{t}$ During What Interval of Time Will the Rocket Be

Multiple Choice

Solve the problem.
-If a rocket is propelled upward from ground level, its height in meters after $t$ seconds is given by $\mathrm{h}=-9.8 \mathrm{t}^{2}+117.6 \mathrm{t}$ . During what interval of time will the rocket be higher than $343 \mathrm{~m}$ ?

A) $5<\mathrm{t}<7$
B) $0<$ t $<5$
C) $10<\mathrm{t}<12$
D) $7<\mathrm{t}<10$