As a fuel saving measure, commercial jets cruise at an altitude of about 10 km. while cruising at an altitude of 10 km, a small leak occurs in one of the window seals in the passenger compartment of an airbus. within the passenger compartment, the pressure and temperature are, respectively, 1.05 atm and 20°c and the pressure outside the craft is 0.274 atm. model the air as an ideal fluid to find the speed (in m/s) of the stream of air flowing through the leak. (assume the density of air to be 1.20 kg/m3.)

Aparticle's position is given by x = 3.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) what is its velocity at t = 1 s? (b) is it moving in the positive or negative direction of x just then? (c) what is its speed just then? (d) is the speed increasing or decreasing just then? (try answering the next two questions without further calculation.) (e) is there ever an instant when the velocity is zero? if so, give the time t; if not, answer "0". (f) is there a time after t = 3 s when the particle is moving in the negative direction of x? if so, give the time t; if not, answer "0".