Youre trapped in an escape room of initial length L=21.59 ft and one of the walls starts to move with a constant velocity of V=1.76 ft/s, compressing the air inside the room. If initial air density at t=0 is 1.25 kg/m^3 and the density is only a function of time, what is the density (in kg/m^3) at t=4.59 seconds? You can assume that the air velocity varies linearly from the moving wall face (x=0) to the stationary wall face (x=L(t)). No credit will be given if you dont use the conservation equations discussed in class to obtain your answer.

V=Constant p= p(t) IX=0 X=L(t)