Savchenko Solutions
<h3 id="back-link"><a href="/#1.1">$\leftarrow$Back</a></h3>
<h3> Statement </h3>
<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.
For problem 1.1.16
<h3>Solution</h3>
<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.
</p>
<center>
<br>
<figure>
<img src="graph1.png"
loading="lazy" alt="1.1.16" width="350" />
<figcaption>
Graph of dependence $x(t)$
</figcaption>
</figure>
</center>
<br>
<center>
<figure>
<img src="graph2.png"
loading="lazy" alt="1.1.16" width="350" />
<figcaption>
Graph of dependence $y(t)$
</figcaption>
</figure>
</center>
<p>
Overlaying the graph of the dependence of $x(t)$ and $y(t)$ on each other at the corresponding time intervals, we obtain:
</p>
<center>
<figure>
<img id="sol" src="sol.png"
loading="lazy" alt="1.1.16" width="200" />
<figcaption>
Trajectory of movement
</figcaption>
</figure>
</center>
</p>
<h4>Answer</h4>
<p>
<a href="#sol">See figure</a>.
</p>
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