An Object Is Projected Vertically Upward with an Initial Velocity $\mathcal { v } _ { 0 }$

Multiple Choice

An object is projected vertically upward with an initial velocity of $\mathcal { v } _ { 0 }$ ft/sec, and its distance $s ( t )$ in feet above the ground after $t$ seconds is given by the formula $s ( t ) = - 16 t ^ { 2 } + v _ { 0 } t$ . If the object hits the ground after $15$ seconds, find its initial velocity $\mathcal { v } _ { 0 }$ in ft/sec.

A) $209$ ft/sec
B) $226$ ft/sec
C) $17$ ft/sec
D) $240$ ft/sec
E) $256$ ft/sec