Use the model $s=-\frac{1}{2}g{t}^2{v}_{0}t{s}_0$ with $g=32f\frac{l}{se{c}^2}$ or $g=9\mathrm{.}8\frac{m}{se{c}^2}.$

A bad punter on a football team kicks a football approximately straight upward with an initial velocity of $100f\frac{l}{sec}.$

$($a$)$ If the ball leaves his foot from a height of $5$ fl $,$ write an equation for the vertical height $s($In fl $)$ of the ball $t$ seconds after being kicked.

$($b$)$ Find the time$($s$)$ at which the ball is at a height of $74$ ft $.$ Round to $1$ decimal place.

Part: $0/2$

Part $1$ of $2$

$($a$)$ The equation is $s=.$

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