Problem $15$: $(4\%$ of Assignment Value$)$

A baseball with mass $m=0\mathrm{.}145kg$ is dropped from rest from a height of $h=21\mathrm{.}6m$ above a baseball catcher's glove. After falling the given height, the glove stops the ball in a time $t=0\mathrm{.}0182s.$

Part $($a$)$

Write an expression for the magnitude of the force, $F,$ exerted on the ball by the glove as the ball is being caught. Your answer will include the symbol $g,$ which is the acceleration of gravity at the Earth's surface.