Solve the Problem $\{ x \mid 1.5 \mathrm { sec } < \mathrm { x } < 8.5 \mathrm { sec } \}$

Multiple Choice

Solve the problem.
-A ball is thrown vertically upward with an initial velocity of 160 feet per second. The distance in feet of the ball from the ground after t seconds is s = 160t - 16t2. For what interval of time is the ball more than 256 above the
Ground?

A) $\{ x \mid 1.5 \mathrm { sec } < \mathrm { x } < 8.5 \mathrm { sec } \}$
B) $\{ x \mid 2 \sec < x < 8 \mathrm { sec } \}$
C) $\{ x \mid 4.5 \mathrm { sec } < x < 5.5 \mathrm { sec } \}$
D) $\{ x \mid 7 \sec < x < 13 \mathrm { sec } \}$