A $2\mathrm{.}29$kg fireworks shell is fired straight up from a mortar and reaches a height of $106$m$.$

$($a$)$ Neglecting air resistance $($a poor assumption, but we will make it for this example$),$ calculate the shell's velocity when it leaves the mortar.

$($b$)$ The mortar itself is a tube $0\mathrm{.}459$m long. Calculate the average acceleration of the shell in the tube as it goes from zero to the velocity found in $($a$).$

$($c$)$ What is the average force exerted on the shell in the mortar? Compute the ratio of this result to the shell's weight.

Force:

Ratio: