The figure shows a stream of water flowing through a hole at depth h = 22.9 cm in a tank holding water to height H = 52.4 cm. (a) At what distance x does the stream strike the floor? (b) At what depth should a second hole be made to give the same value of x? (c) At what depth should a hole be made to maximize x?

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**Question:**

Please answer part (a). I am not sure what to do. Please show what equations to use and exactly how to apply them. Steps that are neatly and clearly explained will be greatly appreciated. Thank you!!

**Context:**

The figure shows a stream of water flowing through a hole at depth \( h = 22.9 \) cm in a tank holding water to height \( H = 52.4 \) cm.

(a) At what distance \( x \) does the stream strike the floor?
(b) At what depth should a second hole be made to give the same value of \( x \)?
(c) At what depth should a hole be made to maximize \( x \)?

**Figure Explanation:**

The figure included in the material depicts a rectangular tank filled with water. A hole is present near the bottom of the right side, causing a stream of water to flow out horizontally. The water exits and forms a parabolic trajectory, striking the floor at a horizontal distance labeled \( x \) from the tank. The water level in the tank is marked at height \( H \), and the depth of the hole from the surface of the water is labeled as \( h \).
Transcribed Image Text:**Question:** Please answer part (a). I am not sure what to do. Please show what equations to use and exactly how to apply them. Steps that are neatly and clearly explained will be greatly appreciated. Thank you!! **Context:** The figure shows a stream of water flowing through a hole at depth \( h = 22.9 \) cm in a tank holding water to height \( H = 52.4 \) cm. (a) At what distance \( x \) does the stream strike the floor? (b) At what depth should a second hole be made to give the same value of \( x \)? (c) At what depth should a hole be made to maximize \( x \)? **Figure Explanation:** The figure included in the material depicts a rectangular tank filled with water. A hole is present near the bottom of the right side, causing a stream of water to flow out horizontally. The water exits and forms a parabolic trajectory, striking the floor at a horizontal distance labeled \( x \) from the tank. The water level in the tank is marked at height \( H \), and the depth of the hole from the surface of the water is labeled as \( h \).
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