A water hose is used to fill a large cylindrical storage tank of diameter D and

Question

A water hose is used to fill a large cylindrical storage tank of diameter D and height 2D. The hose shoots the water at 45 ? above the horizontal from the same level as the base of the tank and is a distance 6D away (the figure (Figure 1) ).

A_

v0min, v0max =

A water hose is used to fill a large cylindrical storage tank of diameter D and height 2D. The hose shoots the water at 45 ? above the horizontal from the same level as the base of the tank and is a distance 6D away (the figure (Figure 1) ).

Explanation / Answer

Let the nozzle of the hose be at the origin. Then the nearest part of the rim of the tank is at (x,y) = (6D, 2D) and the furthest part of the rim is at (x,y) = (7D, 2D).

The trajectory of the water can be found as follows:

x(t) =

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