In the next 1.55 h the hurricane moves due north so that B = 0.It moves north an additional distance west в |km/h |km. h) = north = V2At2 |

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Step 2

The components of the hurricane's displacement during the first three hours that it travels 60.0° north of west are:

\[ A_{\text{west}} = A \cos 60.0° = \left( 127.5 \text{ km} \rightarrow \text{ 128 km} \right) \cos 60.0° = 63.75 \rightarrow 63.8 \text{ km} \]

to the west, and

\[ A_{\text{north}} = A \sin 60.0° = \left( 127.5 \text{ km} \rightarrow \text{ 128 km} \right) \sin 60.0° = 110.4 \text{ km} = 110 \text{ km} \]

to the north.

### Step 3

In the next 1.55 h the hurricane moves due north so that \( B_{\text{west}} = 0 \). It moves north an additional distance:

\[ B_{\text{north}} = v_2 \Delta t_2 = \left( \_\_\_\_ \text{ km/h} \right) \left( \_\_\_\_ \text{ h} \right) = \_\_\_\_\_ \text{ km} \]

You are tasked with calculating the additional distance the hurricane moves due north in the given time frame by filling in the appropriate values.

#### Diagram Explanation:

There are text boxes for inputting data which are represented as blank spaces. These text boxes are designed for user interaction typically seen in online education platforms where students may input the calculated values to check against provided solutions.

---
**Key Visual Symbols:**

- **Green Check Marks (✔️):** Indicate correct values next to computed calculations.
- **Pencil Icons:** Prompt further user interaction/input required for final calculations.
- **Skip Button:** Allows user progression beyond the current step without submission, noting that this action is irreversible.

This setup encourages users to actively engage with problem-solving, applying formulae, and verifying calculation steps conducive to learning.
Transcribed Image Text:### Step 2 The components of the hurricane's displacement during the first three hours that it travels 60.0° north of west are: \[ A_{\text{west}} = A \cos 60.0° = \left( 127.5 \text{ km} \rightarrow \text{ 128 km} \right) \cos 60.0° = 63.75 \rightarrow 63.8 \text{ km} \] to the west, and \[ A_{\text{north}} = A \sin 60.0° = \left( 127.5 \text{ km} \rightarrow \text{ 128 km} \right) \sin 60.0° = 110.4 \text{ km} = 110 \text{ km} \] to the north. ### Step 3 In the next 1.55 h the hurricane moves due north so that \( B_{\text{west}} = 0 \). It moves north an additional distance: \[ B_{\text{north}} = v_2 \Delta t_2 = \left( \_\_\_\_ \text{ km/h} \right) \left( \_\_\_\_ \text{ h} \right) = \_\_\_\_\_ \text{ km} \] You are tasked with calculating the additional distance the hurricane moves due north in the given time frame by filling in the appropriate values. #### Diagram Explanation: There are text boxes for inputting data which are represented as blank spaces. These text boxes are designed for user interaction typically seen in online education platforms where students may input the calculated values to check against provided solutions. --- **Key Visual Symbols:** - **Green Check Marks (✔️):** Indicate correct values next to computed calculations. - **Pencil Icons:** Prompt further user interaction/input required for final calculations. - **Skip Button:** Allows user progression beyond the current step without submission, noting that this action is irreversible. This setup encourages users to actively engage with problem-solving, applying formulae, and verifying calculation steps conducive to learning.
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