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an airplane undergoes the following displacements: first, it flies 72 km in a direction 30° east of north. next, it flies 48 km due south. finally, it flies 100 km 30° north of west. using analytical methods, determine how far the airplane ends up from its starting point.

Abag of potato chips contains 2.00 l of air when it is sealed at sea level at a pressure of 1.00 atm and a temperature of 20.0 deg c. what will be the volume of the air in the bag if you take it with you, still sealed, to the mountains where the temperature is 7.00 deg c and atmospheric pressure is 70.0 kpa? assume that the bag behaves like a balloon and that the air in the bag is in thermal equilibrium with the outside air.