If a rocket is propelled upward from ground level, its height in meters after $t$ seconds is given by $\mathrm { h } = - 9.8 \mathrm { t } ^ { 2 } + 98 \mathrm { t }$. During what interval of time will the rocket be higher than $235.2 \mathrm {~m}$ ?
A) $4

Question

If a rocket is propelled upward from ground level, its height in meters after $t$ seconds is given by $\mathrm { h } = - 9.8 \mathrm { t } ^ { 2 } + 98 \mathrm { t }$. During what interval of time will the rocket be higher than $235.2 \mathrm {~m}$ ?
A) $4 < t < 6$
B) $8 < t < 10$
C) $6 < t < 8$
D) $0 < t < 4$

Quizplus · Accepted Answer

To find when the rocket is higher than 235.2 m, we set the height equation greater than 235.2 and solve for $t$: $-9.8t^2 + 98t > 235.2$. Rearranging gives a quadratic inequality. Solving this inequality will show that the rocket's height exceeds 235.2 meters between 4 and 6 seconds.

If a Rocket Is Propelled Upward from Ground Level, Its ttt

If a Rocket Is Propelled Upward from Ground Level, Its $t$