Aball is thrown downward from the top of a building that is 60 meters high. the initial velocity of theball is 30m/s, and the magnitude of the acceleration due to air resistance is 5v(wherevrepresentsvelocity). find an expression for the position of the particle at timet. also, determine the terminalvelocity (assume that gravity is 10m/s2).

On a mild saturday morning while people are working inside, the furnace keeps the temperature inside the building at 23degreesc. at noon the furnace is turned off, and the people go home. the temperature outside is a constant 16degreesc for the rest of the afternoon. if the time constant for the building is 3 hr, when will the temperature inside the building reach 18degreesc? if some windows are left open and the time constant drops to 2 hr, when will the temperature inside reach 18degreesc?