Solve the Problem $\{ x \mid 0 \sec < x < 3.5 \mathrm { sec }$

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 s = 128t - 16t2. 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) $\{ x \mid 0 \sec < x < 3.5 \mathrm { sec }$ and $4.5 \mathrm { sec } > x > 8 \mathrm { sec } \}$
B) $\{ x \mid 0 \sec < x < 0.5 \mathrm { sec }$ and $7.5 \mathrm { sec } > x > 8 \mathrm { sec } \}$
C) $\{ x \mid 0 \mathrm { sec } < x < 1 \mathrm { sec }$ and $7 \mathrm { sec } > x > 8 \mathrm { sec } \}$
D) $\{ x \mid 1 \sec < x < 7 \mathrm { sec } \}$