A pitcher accelerates a $0\mathrm{.}14-$kg hardball from rest to $42\mathrm{.}5$ m$/$s in $0\mathrm{.}060$ s$.($a$)$ How much work does the pitcher do on the ball? $($b$)$ What is the pitcher's power output during the pitch? $($c$)$ Suppose the ball reaches $42\mathrm{.}5$ m$/$s in less than $0\mathrm{.}060$ s$.$ Is the power produced by the pitcher in this case more than, less than, or the same as the power found in part $($b$)?$ Explain.