The figure below shows a valve separating a reservoir from a water tank. If this

Question

The figure below shows a valve separating a reservoir from a water tank. If this valve is opened, what is the maximum height above point B attained by the water stream coming out of the right side of the tank? Assume that

The figure below shows a valve separating a reservoir from a water tank. If this valve is opened, what is the maximum height above point B attained by the water stream coming out of the right side of the tank? Assume that h = 13.5 m, L = 2.40 m, and ? = 20.0 degree and assume the cross-sectional area at A is very large compared with that at B. Your response differs from the correct answer by more than 10%. Double check your calculations. m (above the level where the water emerges)

Explanation / Answer

The velocity of the water leaving the spout is the same as if it had fallen through a height equal to the depth of the spout.

The opening is h - l sin (theta) below the surface, so the velocity of the water can be found by solving

1/2 v^2 = g (h - l sin (theta))

The rest is kinematics; you have your initial velocity and angle and you can easily calculate the maximum height.

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