Solve the Problem $t$ Is $s ( t ) = - 16 t ^ { 2 } + 48 t + 160$

Multiple Choice

Solve the problem.
-A rock is propelled upward from the top of a building 160 feet tall at an initial velocity of 48 feet per second. The function that describes the height of the rocket in terms of time $t$ is $s ( t ) = - 16 t ^ { 2 } + 48 t + 160$ . Determine the maximum height that the rock reaches.

A) $196 \mathrm { ft }$
B) $166 \mathrm { ft }$
C) $179 \mathrm { ft }$
D) $213 \mathrm { ft }$