Water is flowing into an open tank at the rate of 50 ft 3 /min. There is an opening at the bottom where water flows out at a rate proportional to where h = height of the liquid above the bottom of the...

Water is flowing into an open tank at the rate of 50 ft³/min. There is an opening at the bottom where water flows out at a rate proportional to

where h = height of the liquid above the bottom of the tank. Set up the equation for height versus time; separate the variables and integrate. The area of the bottom of the tank is 100 ft².