Solve the Problem $t$ Seconds Is Given by the Equation $h ( t ) = - 16 t ^ { 2 } + 16 t + 242$

Multiple Choice

Solve the problem.
-A coin is tossed upward from a balcony 242 feet high with an initial velocity of 16 feet per second, then its height after $t$ seconds is given by the equation $h ( t ) = - 16 t ^ { 2 } + 16 t + 242$ . During what interval of time will the coin be at a height of at least $50 \mathrm { ft }$ ?

A) $4 \leq t \leq 8$
B) $3 \leq t \leq 4$
C) $0 \leq t \leq 1$
D) $0 \leq t \leq 4$