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. A tank filled with water to a height H. A hole is punched in one of the walls at a depth h below the water surface as shown in the figure below (a) Show that the distance x from the foot of the wall at which the stream strikes the floor is given by x = 2√h(H - h). (b) Could a hole be punched at another depth so that this second stream would have the same range? If so, at what depth? (c) At what depth should the hole be placed to make the emerging stream strike the ground at the maximum distance from the base of the tank? What is this maximum distance?

. A tank filled with water to a height H. A hole is punched in one of the walls at a depth h below 
the water surface as shown in the figure below (a) Show that the distance x from the foot of 
the wall at which the stream strikes the floor is given by x = 2√h(H - h). (b) Could a hole be 
punched at another depth so that this second stream would have the same range? If so, at what 
depth? (c) At what depth should the hole be placed to make the emerging stream strike the 
ground at the maximum distance from the base of the tank? What is this maximum distance?

Grade:11

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