The standard major$-$league baseball is $2\mathrm{.}9$ in diameter and weighs $5\mathrm{.}25$ oz$.$ A pitched ball is delivered with an initially horizontal trajectory from a point $6$ ft above the ground.$$ The velocity is $86$ mph and the rotational speed is $1400$ rpm$,$ spinning counter$-$clockwise when viewed from above.$$ The initial trajectory is towards the right side of the plate; the plate is $17$ inches across and is located $606$ from the ball release point.$$ A strike will be called if the ball passes over the plate and is between $2$ ft and $4\mathrm{.}5$ ft above the plate.$$ Will the pitched ball be a strike?$$ Show all work. Answer range drops: $3\mathrm{.}5-3\mathrm{.}8$ ft ; to the left:$2\mathrm{.}2-4\mathrm{.}7$ in $($is it a strike?$)$