Anita is standing on her skates on a frozen pond when her brother, Ahmed, moving with a uniform speed of $17\mathrm{.}5$ m$/$s$,$ skates by with the hockey puck. After $1\mathrm{.}783$ s$,$ Anita makes up her mind to chase Ahmed. If she accelerates uniformly at $1$ m$/$s$\mathrm{²},$ from the time Anita starts skating, how long does it take her to catch Ahmed? $($Assume Ahmed remains in motion at constant speed.$)$