A landscape architect is planning an artificial waterfall in a city park. Water flowing at 0.562 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 2.25 m high and falls into a pool (see figure). (a) How far from the wall will the water land? m Will the space behind the waterfall be wide enough for a pedestrian walkway? (Assume the water must land 2 m from the wall to provide adequate space for a person to walk beneath the waterfall.) Yes No (b) To sell her plan to the city council, the architect wants to build a model to standard scale, one-seventeenth actual size. How fast should the water flow in the channel in the model? m/s Submit Answer

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A landscape architect is planning an artificial waterfall in a city park. Water flowing at 0.562 m/s will leave the end of a horizontal channel at the top of a vertical wall h= 2.25 m high and falls into a pool (see figure) 

 

(a) how far from the wall will the water land? 

find m 

 

will the space behind the waterfall be wide enough for a pedestrian walkway? (Assume the water must land 2 m from the wall to provide adequate space for a person to walk beneath the waterfall) 

 

yes or no 

(b) to sell her plan to the city council, the architect wants to build a model to standard scale, one-seventeenth actual size. How fast should the water flow in the channel in the model ? 

find m/s

## Planning an Artificial Waterfall

### Problem Statement:
A landscape architect is planning an artificial waterfall in a city park. Water flowing at \( 0.562 \) m/s will leave the end of a horizontal channel at the top of a vertical wall \( h = 2.25 \) m high and falls into a pool (see figure).

**Figure Description:**
The figure shows a diagram of a waterfall. Water flows horizontally off the edge of a vertical wall and falls into a pool below. The vertical height of the wall from which the water falls is labeled as \( h \).

### Questions:

**(a) How far from the wall will the water land?**

\[ \text{m} \]

**Will the space behind the waterfall be wide enough for a pedestrian walkway?** (Assume the water must land 2 m from the wall to provide adequate space for a person to walk beneath the waterfall.)

- [ ] Yes
- [ ] No

**(b) To sell her plan to the city council, the architect wants to build a model to standard scale, one-seventeenth actual size. How fast should the water flow in the channel in the model?**

\[ \text{m/s} \]

**Submit Answer**

#### Explanation:
To answer part (a), you would need to calculate the horizontal distance the water travels using the flow rate and the height of the fall. For part (b), you would need to determine the flow rate in the scale model, given it is one-seventeenth the actual size.
Transcribed Image Text:## Planning an Artificial Waterfall ### Problem Statement: A landscape architect is planning an artificial waterfall in a city park. Water flowing at \( 0.562 \) m/s will leave the end of a horizontal channel at the top of a vertical wall \( h = 2.25 \) m high and falls into a pool (see figure). **Figure Description:** The figure shows a diagram of a waterfall. Water flows horizontally off the edge of a vertical wall and falls into a pool below. The vertical height of the wall from which the water falls is labeled as \( h \). ### Questions: **(a) How far from the wall will the water land?** \[ \text{m} \] **Will the space behind the waterfall be wide enough for a pedestrian walkway?** (Assume the water must land 2 m from the wall to provide adequate space for a person to walk beneath the waterfall.) - [ ] Yes - [ ] No **(b) To sell her plan to the city council, the architect wants to build a model to standard scale, one-seventeenth actual size. How fast should the water flow in the channel in the model?** \[ \text{m/s} \] **Submit Answer** #### Explanation: To answer part (a), you would need to calculate the horizontal distance the water travels using the flow rate and the height of the fall. For part (b), you would need to determine the flow rate in the scale model, given it is one-seventeenth the actual size.
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