On August $21,2009,$ the Dallas Cowboys and the Tennessee Titans met in the first NFL game to be held in the new Cowboys Stadium. Hanging over the field in the stadium were the largest HD video screens ever made at the time $(48\mathrm{.}64m[159$ ft $7in.]$ wide $$ above the field, $1\mathrm{.}52m(5ft)$ higher than minimum clearance height required by NFL regulations. During his pre$-$game warmup, A$.$J$.$ Trapasso, the Titans punter, hit the screens with a kick and during the actual game, he did it again.

a$.$ What minimum initial vertical velocity would a football need to hit the video screens if it were kicked from a height $1m$ above the playing field surface? Assume that air resistance does not affect the flight of the football.