Solve the Problem $s ( t ) = - 16 \left( t ^ { 2 } \right) + 178 t$

Multiple Choice

Solve the problem.
-A toy rocket is shot vertically upward from the ground. Its distance in feet from the ground in t seconds is given by $s ( t ) = - 16 \left( t ^ { 2 } \right) + 178 t$ . At what time(s) will the ball be $235 \mathrm { ft }$ from the ground? Round your answer to the nearest tenth of a second.

A) $5.6 \mathrm { sec }$
B) $11.1 \mathrm { sec }$
C) $172.8 \mathrm { sec }$ and $183.2 \mathrm { sec }$
D) $1.5 \mathrm { sec }$ and $9.6 \mathrm { sec }$