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| <span><img src="../../img/book.png"></span><span>Savchenko Solutions</span> | | <span><img src="../../img/book.png"></span><span>Savchenko Solutions</span> |
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| <p class="author"> | | <p class="author"> |
| Solutions of Savchenko Problems in Physics <br> | | Solutions of Savchenko Problems in Physics <br> |
| <i><b>knowledge must be free</b></i> | | <i><b>knowledge must be free</b></i> |
| </p> | | </p> |
| </header> | | </header> |
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| <h3 id="back-link"><a href="../../#1.4">$\leftarrow$Back</a></h3> | | <h3 id="back-link"><a href="../../#1.4">$\leftarrow$Back</a></h3> |
| | | |
| <h3> Statement </h3> | | <h3> Statement </h3> |
| <p> | | <p> |
| $1.4.4.$ From corner $A$ of a square raft, a dog jumped into the water and swam around the raft. Draw the dog's trajectory relative to the shore if it is swimming along the sides of the raft, and its speed relative to the water is $\frac{4}{3}$ of the speed of the river current. | | $1.4.4.$ From corner $A$ of a square raft, a dog jumped into the water and swam around the raft. Draw the dog's trajectory relative to the shore if it is swimming along the sides of the raft, and its speed relative to the water is $\frac{4}{3}$ of the speed of the river current. |
| </p> | | </p> |
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| <figure> | | <figure> |
| <img src="https://savchenkosolutions.com/1/1.4.4/statement.png" | | <img src="https://savchenkosolutions.com/1/1.4.4/statement.png" |
| loading="lazy" width="200" /> | | loading="lazy" width="200" /> |
| <figcaption> | | <figcaption> |
| For problem $1.4.4$ | | For problem $1.4.4$ |
| </figcaption> | | </figcaption> |
| </figure> | | </figure> |
| </center> | | </center> |
| <p> | | <p> |
| </p> | | </p> |
| | | |
| <h3>Solution</h3> | | <h3>Solution</h3> |
| <p> | | <p> |
| <p > | | <p > |
| Let's consider the dog's movement relative to the shore | | Let's consider the dog's movement relative to the shore |
| </p> | | </p> |
| <center> | | <center> |
| <figure> | | <figure> |
| <img src="https://savchenkosolutions.com/1/1.4.4/draw.png" | | <img src="https://savchenkosolutions.com/1/1.4.4/draw.png" |
| loading="lazy" width="150" /> | | loading="lazy" width="150" /> |
| </figure> | | </figure> |
| </center> | | </center> |
| | | |
| <p > | | <p > |
| On segment $AB$ the dog swims $4\, m$ vertically and is washed away $3\, m$ horizontally. | | On segment $AB$ the dog swims $4\, m$ vertically and is washed away $3\, m$ horizontally. |
| </p> | | </p> |
| <p > | | <p > |
| Next, on $BC$ the dog swims $4\, m$ horizontally along the river current and is washed away $3\, m$ in the same direction. | | Next, on $BC$ the dog swims $4\, m$ horizontally along the river current and is washed away $3\, m$ in the same direction. |
| </p> | | </p> |
| <p > | | <p > |
| On $CD$ the dog swims $4\, m$ vertically, but in a different direction, and is again washed away $3\, m$ along the river current. </p> | | On $CD$ the dog swims $4\, m$ vertically, but in a different direction, and is again washed away $3\, m$ along the river current. </p> |
| <p > | | <p > |
| On the last segment, the dog swims against the river current for $4\, m$, and the river washes away for $3\, m$, making a total movement of $1\, m$ against the river current. | | On the last segment, the dog swims against the river current for $4\, m$, and the river washes away for $3\, m$, making a total movement of $1\, m$ against the river current. |
| </p> | | </p> |
| | | |
| <center> | | <center> |
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| <img src="https://savchenkosolutions.com/1/1.4.4/ans.png" id="ans" | | <img src="https://savchenkosolutions.com/1/1.4.4/ans.png" id="ans" |
| loading="lazy" width="300" /> | | loading="lazy" width="300" /> |
| </figure> | | </figure> |
| </center> | | </center> |
| </p> | | </p> |
| | | |
| <h4>Answer</h4> | | <h4>Answer</h4> |
| <p> | | <p> |
| <a href="#ans">See figure</a></h3> | | <a href="#ans">See figure</a></h3> |
