And this problem. We have a tank on fluid with a hole in the bottom of it and the fluids draining out. We're told that the tank is your 0.3 meters deep. The area of the cross section, but with a fluid is flowing out, is 6.5 times 10 to the minus fourth meters cube. And what we want to find out is the rate at which the fluid is draining and the distance and the distance We love the whole that the cross section of the fluid flow is 1/2 of the exit hole. So we have Bernoulli's equation. We can use that to look at the difference between our state at zero on one and then also one and two. So we have peanut over row, plus 1/2 be not squared. Plus gee, why not? That equals. We want overwrote those 1/2 me one squared plus g. Why one and and also equals P two row plus 1/2 we two squared plus G. Why, to some of these terms are zero. The velocity at the top of the tank is zero pressure here and the president are those are all equal and atmospheric pressure will measure why from the top of the fluid. So that zero that leaves us with fee. One squared equals minus to t. Why one and why one is minus tease? That's too t d. So everyone is simply square root of two g d. The volumetric flow rate. At one, there's a one times V one, so that's a one time square root of two G p. A. One is 6.5 times said that minus fourth liters. Cube would get the volumetric full rate and put all our numbers in 1.6 times. 10 to the minus, Third mused. He per second. We want to figure out what the distance he is, so we need a supplement. Bernoulli equations with their continuity equation. So RV one is a one time square with two cheapie RV, too, is a two, which is half a one time fee to why, to his minus big D minus Little D continuity then gives us that V two is to be one. Bernoulli's equation says that fee to square it was minus two Gene. Why, too, which is 23 happily plus little d for you two squared is for the one square for you one squared ISS to G D. This is 80 times D. First, we can cancel out G's and two d equals for the minus three equals C Times Capital, G and Capital T is a 0.3 meters so weak it that this is zero point nine meters.