Consider the conservation of mass equation:

$0=\frac{\text{d}\text{e}\text{l}}{\text{d}\text{e}\text{l}\text{t}}{\displaystyle \underset{CV}{\overset{\phantom{}}{}}}dAA+{\displaystyle \underset{CS}{\overset{\phantom{}}{}}}vec(V)*dvec(A)$

In words, this equation reads:

A shock wave is a very thin layer $($thickness $=l)$ in a highspeed $($supersonic$)$ gas flow across which the flow

properties $($velocity$,$ density, pressure, etc.$)$ change from state $(1)$ to state $(2)$ as shown in the figure below. $($a$)$ If $V_1$

$=1800fps,V_2=700fps,$ and $l=2\mathrm{.}0{10}^{-5}in.,$ estimate the average deceleration of the gas as it flows across the

shock wave. $($b$)$ How many g$\text{'}$s deceleration does this represent?

$($a$)a_x=$

$f\frac{t}{s^2}$

$($b$)|\frac{a_x}{g}|=$