Savchenko Solutions
<h3 id="back-link"><a href="/#1.1">$\leftarrow$Back</a></h3>
<h3> Statement </h3>
<p>
$1.1.15.$ Using the velocity-time graphs, plot the coordinate-time graphs. In cases b and c find the average velocity over a large time.
For problem 1.1.15
<h3>Solution</h3>
<p>
<center>
<figure>
<img id="sol" src="sol.png"
loading="lazy" alt="1.1.15" width="400" />
<figcaption>
Graph-a of time dependence of coordinate
</figcaption>
</figure>
</center>
<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 the coordinate on time.
</p>
<center>
<figure>
<img src="graph1.png"
loading="lazy" alt="1.1.15" width="400" />
<figcaption>
Graph-b of time velocity of time
</figcaption>
</figure>
</center>
<p>
In case b), in equal time intervals, the body travels forward and backward the same distance. Consequently, for a large time, the displacement will be close to zero and the average velocity will be zero.
</p>
<p style="text-align: center;">
$v_{av} = 0 \\; \text{m/s}$
</p>
<br>
<center>
<figure>
<img src="graph2.png"
loading="lazy" alt="1.1.15" width="400" />
<figcaption>
Graph-c of time velocity of time
</figcaption>
</figure>
</center>
<p>
In case c) for equal time intervals, the body is no longer travelling equal distances. For every 4 seconds, it moves in the positive direction by 4 meters.
</p>
<p>
Here we go:
</p>
<p style="text-align: center;">
$v_{av} = 1 \\; \text{m/s}$
</p>
</p>
<h4>Answer</h4>
<p>
<a href="#sol">See figure</a>; б) $v_{av} = 0$, в) $v_{av} = 1 \\, \text{m/s}$
</p>
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