2. In Figure 2, someone is throwing a rock off of a cliff. Suppose that this person wants the rock to hit the plain without hitting the dam or lake. To accomplish this, what is the minimum speed with which she must throw the rock? How far from the dam does the rock land?

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Chapter1: Units, Trigonometry. And Vectors
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**Transcription for Educational Website:**

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**Question 2:**

In Figure 2, someone is throwing a rock off a cliff. Suppose that this person wants the rock to hit the plain without hitting the dam or lake. To accomplish this, what is the minimum speed with which she must throw the rock? How far from the dam does the rock land?

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**Figure 2 Explanation:**

The diagram depicts a scenario where a person is standing on a cliff that is 20.0 meters high and is throwing a rock horizontally. The rock's initial velocity is shown as \( v_0 \). Below the cliff, there is a lake with a horizontal distance of 100.0 meters to the opposite shore, where there is a dam. The dam is followed by a plain, which is 25.0 meters below the top of the dam.

- **Cliff Height:** 20.0 meters
- **Lake Width:** 100.0 meters
- **Dam Height above Plain:** 25.0 meters

The objective is for the rock to clear the dam and the lake, eventually landing on the plain. The aim is to find the necessary initial speed (\( v_0 \)) for this to happen and to determine how far beyond the dam the rock lands.

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Transcribed Image Text:**Transcription for Educational Website:** --- **Question 2:** In Figure 2, someone is throwing a rock off a cliff. Suppose that this person wants the rock to hit the plain without hitting the dam or lake. To accomplish this, what is the minimum speed with which she must throw the rock? How far from the dam does the rock land? --- **Figure 2 Explanation:** The diagram depicts a scenario where a person is standing on a cliff that is 20.0 meters high and is throwing a rock horizontally. The rock's initial velocity is shown as \( v_0 \). Below the cliff, there is a lake with a horizontal distance of 100.0 meters to the opposite shore, where there is a dam. The dam is followed by a plain, which is 25.0 meters below the top of the dam. - **Cliff Height:** 20.0 meters - **Lake Width:** 100.0 meters - **Dam Height above Plain:** 25.0 meters The objective is for the rock to clear the dam and the lake, eventually landing on the plain. The aim is to find the necessary initial speed (\( v_0 \)) for this to happen and to determine how far beyond the dam the rock lands. ---
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