Solve the Problem $t$ Seconds Is Given By $h = - 9.8 \mathrm { t } ^ { 2 } + 78.4 \mathrm { t }$

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

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

Correct Answer:

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