$(12)$We will solve this type of problem $($Max$-$Min$)$ using calculus techniques later in the semester: This function is sufficiently simple enough that kg can solved algebraically. Using the freefall model for an object launched with an initial velocity of $v_0$ from the ground is modelled by the general equation $h(t)=-16t^2+vo{t}_0$ here t is the seconds aver the object is launched and $h$ is the height above ground in feet.

An arrow is fired straight up in the air with an initial velocity of $344$ ft per second.

A$)$ Give the function that models the height above ground that the arrow is fired.

$h(t)=-16t^2+344t$

B$)$ Pind the time it takes for the arrow to reach it's maximum height. $10\mathrm{.}75$s

C$)$ Find the maximum height of the arrow.

$1849$f

D$)$ Find the time in seconds that the arrow is in flight.

$21\mathrm{.}5s$