Solve the Problem $$\mathrm { s } = 128 \mathrm { t } - 16 \mathrm { t } ^ { 2 }$$

Multiple Choice

Solve the problem.
-A ball is thrown vertically upward with an initial velocity of 128 feet per second. The distance in feet of the ball from the ground after t seconds is $$\mathrm { s } = 128 \mathrm { t } - 16 \mathrm { t } ^ { 2 }$$ . For what intervals of time is the ball less than 112 above the
Ground (after it is tossed until it returns to the ground) ? A) $\{ x \mid 0 \mathrm { sec } < x < 3.5 \mathrm { sec }$ and $4.5 \mathrm { sec } > x > 8 \mathrm { sec } \}$
B) $\{ \mathrm { x } \mid 0 \mathrm { sec } < \mathrm { x } < 0.5 \mathrm { sec }$ and $7.5 \mathrm { sec } > x > 8 \mathrm { sec } \}$
C) $\{ x \mid 0 \sec < x < 1 \mathrm { sec }$ and $7 \sec > x > 8 \mathrm { sec } \}$
D) $\{ \mathrm { x } \mid 1 \mathrm { sec } < \mathrm { x } < 7 \mathrm { sec } \}$