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| <h3 id="back-link"><a href="../#1.1">$\leftarrow$Back</a></h3> | | <h3 id="back-link"><a href="../#1.1">$\leftarrow$Back</a></h3> |
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| <h3> Statement </h3> | | <h3> Statement </h3> |
| <p> | | <p> |
| $1.1.16.$ A particle moves in one plane. From the graphs of the time dependence of the velocity projections $v_x$ and $v_y$ plot the trajectory of the particle if $x_{(0)} = 2$ m, $y_{(0)} = 1$ m. | | $1.1.16.$ A particle moves in one plane. From the graphs of the time dependence of the velocity projections $v_x$ and $v_y$ plot the trajectory of the particle if $x_{(0)} = 2$ m, $y_{(0)} = 1$ m. |
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| loading="lazy" width="320" /> | | loading="lazy" width="320" /> |
| <figcaption> | | <figcaption> |
| For problem 1.1.16 | | For problem 1.1.16 |
| </figcaption> | | </figcaption> |
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| <p> | | <p> |
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| <h3>Solution</h3> | | <h3>Solution</h3> |
| <p> | | <p> |
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| <p> | | <p> |
| Taking into account the physical meaning of the area under the graph of velocity versus time, we obtain the graphs of the dependence of coordinate versus time. | | Taking into account the physical meaning of the area under the graph of velocity versus time, we obtain the graphs of the dependence of coordinate versus time. |
| </p> | | </p> |
| <center> | | <center> |
| <br> | | <br> |
| <figure> | | <figure> |
| <img src="graph1.png" | | <img src="graph1.png" |
| loading="lazy" alt="1.1.16" width="350" /> | | loading="lazy" alt="1.1.16" width="350" /> |
| <figcaption> | | <figcaption> |
| Graph of dependence $x(t)$ | | Graph of dependence $x(t)$ |
| </figcaption> | | </figcaption> |
| </figure> | | </figure> |
| </center> | | </center> |
| <br> | | <br> |
| <center> | | <center> |
| <figure> | | <figure> |
| <img src="graph2.png" | | <img src="graph2.png" |
| loading="lazy" alt="1.1.16" width="350" /> | | loading="lazy" alt="1.1.16" width="350" /> |
| <figcaption> | | <figcaption> |
| Graph of dependence $y(t)$ | | Graph of dependence $y(t)$ |
| </figcaption> | | </figcaption> |
| </figure> | | </figure> |
| </center> | | </center> |
| | | |
| <p> | | <p> |
| Overlaying the graph of the dependence of $x(t)$ and $y(t)$ on each other at the corresponding time intervals, we obtain: | | Overlaying the graph of the dependence of $x(t)$ and $y(t)$ on each other at the corresponding time intervals, we obtain: |
| </p> | | </p> |
| <center> | | <center> |
| <figure> | | <figure> |
| <img id="sol" src="sol.png" | | <img id="sol" src="sol.png" |
| loading="lazy" alt="1.1.16" width="200" /> | | loading="lazy" alt="1.1.16" width="200" /> |
| <figcaption> | | <figcaption> |
| Trajectory of movement | | Trajectory of movement |
| </figcaption> | | </figcaption> |
| </figure> | | </figure> |
| </center> | | </center> |
| | | |
| </p> | | </p> |
| | | |
| <h4>Answer</h4> | | <h4>Answer</h4> |
| <p> | | <p> |
| <a href="#sol">See figure</a>. | | <a href="#sol">See figure</a>. |
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