empirical constant.

$\frac{dh}{dt}=-\frac{5}{6h^{\frac{3}{2}}}$

$In$ this model, friction and contraction $of$ the water $at$ the hole are taken into account with $c=0\mathrm{.}6,$ and $gis$ taken $tobe32f\frac{t}{s^2}.$ See the figure below.

Solve the initial value problem that assumes the tank $is$ initially full.

$h(t)=|$

$If$ the tank $is$ initially full, how long $(in$ minutes$)$ will $it$ take the tank $to$ empty? $(Round$ your answer $to$ two decimal places.$)$

minutes

$\frac{dh}{dt}=$

Solve the initial value problem that assumes the height $of$ the water $is$ initially $8$ feet.

$h(t)=$

$If$ the height $of$ the water $is$ initially $8$ feet, how long $(in$ minutes$)$ will $it$ take the tank $to$ empty? $(Round$ your answer $to$ two decimal places.$)$

minutes