The Height,h(x),of a Punted Rugby Ball Is Given By $h ( x ) = - \frac { 1 } { 64 } x ^ { 2 } + \frac { 21 } { 32 } x + 3$

Multiple Choice

The height,h(x) ,of a punted rugby ball is given by $h ( x ) = - \frac { 1 } { 64 } x ^ { 2 } + \frac { 21 } { 32 } x + 3$ where x is the horizontal distance in feet from the point where the ball is punted.How far,horizontally,is the ball from the kicker when it is at its highest point?

A) $45 \text { feet }$
B) $21 \text { feet }$
C) $26 \text { feet }$
D) $31 \text { feet }$
E) $24 \text { feet }$