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+ <header style="text-align:center;">
+ <h2>Solutions of Savchenko Physics Textbook</h2>
+ <p class="author">
+ Aliaksandr Melnichenka <br/>
+ October 2023
+ </p>
+ </header>
+
+ <h3 id="back-link"><a href="../">$\leftarrow$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.
+</p>
+<center>
+ <figure>
+ <img src="statement.png"
+ loading="lazy" width="320" />
+ <figcaption>
+ For problem 1.1.16
+ </figcaption>
+ </figure>
+</center>
+<p>
+ </p>
+
+ <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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