Solve the Problem $t$ Seconds Is $\mathrm { s } = 96 \mathrm { t } - 16 \mathrm { t } ^ { 2 }$

Multiple Choice

Solve the problem.
-A ball is thrown vertically upward with an initial velocity of 96 feet per second. The distance in feet of the ball from the ground after $t$ seconds is $\mathrm { s } = 96 \mathrm { t } - 16 \mathrm { t } ^ { 2 }$ . For what interval of time is ball more than 128 above the ground?

A) between 2 and 4 seconds
B) between $1.5$ and $4.5$ seconds
C) between 5 and 7 seconds
D) between $2.5$ and $3.5$ seconds