Solve the Problem $t$ Seconds Is Given By $h = - 9.8 \mathrm { t } ^ { 2 } + 117.6 \mathrm { t }$

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

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

Correct Answer:

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