Solve the Problem
-A Rock Is Propelled Upward from the Top

Solve the problem
-A rock is propelled upward from the top of a building 180 feet tall at an initial velocity of 56 feet per second. The function that describes the height of the rocket in terms of time $t$ is $\mathrm { s } ( \mathrm { t } ) = - 16 \mathrm { t } ^ { 2 } + 56 t + 180$ . Determine the maximum height that the rock reaches.

A) $212 \mathrm { ft }$
B) $246 \mathrm { ft }$
C) $191 \mathrm { ft }$
D) $229 \mathrm { ft }$

Correct Answer:

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