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Hi, Can someone answer this question correctly with complete solutions, please. thanks! How long does it...

Hi, Can someone answer this question correctly with complete solutions, please. thanks!

How long does it take for water to drain through a hole in the bottom of a tank? Consider the tank pictured below, which drains through a small, round hole. Torricelli's law states that when the surface of the water is at a height h, the water drains with the velocity it would have if it fell freely from a height h (ignoring various forms of friction).

Show that the standard gravity differential equation d2hdt2=−gd2hdt2=−g leads to the conclusion that an object that falls from a height h(0) will land with a velocity of −√2gh(0).

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