<meta name="keywords" content="Savchenko Problems in Physics, Savchenko solutions, physics problems, physics olympiad preparation, IPhO, Jaan Kalda">
<meta name="description" content="Using the velocity-time graphs, plot the coordinate-time graphs. In cases b and c find the average velocity over a large time.">
<meta property="og:title" content="Using the velocity-time graphs, plot the coordinate-time graphs. In cases b and c find the average velocity over a large time.">
<meta property="og:image" content="img/logo.png">
@@ -14,9 +14,9 @@
<meta property="og:description" content="Using the velocity-time graphs, plot the coordinate-time graphs. In cases b and c find the average velocity over a large time.">
$1.1.15.$ Using the velocity-time graphs, plot the coordinate-time graphs. In cases b and c find the average velocity over a large time.
</p>
<center>
<figure>
<img src="statement.png"
loading="lazy" width="350" />
<figcaption>
For problem 1.1.15
</figcaption>
</figure>
</center>
<p>
</p>
<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.
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
<meta name="keywords" content="Savchenko Problems in Physics, Savchenko solutions, physics problems, physics olympiad preparation, IPhO, Jaan Kalda">
<meta name="keywords" content="Savchenko Problems in Physics, Savchenko solutions, physics problems, physics olympiad preparation, IPhO, Jaan Kalda">
<meta name="description" content="Using the velocity-time graphs, plot the coordinate-time graphs. In cases b and c find the average velocity over a large time.">
<meta name="description" content="Using the velocity-time graphs, plot the coordinate-time graphs. In cases b and c find the average velocity over a large time.">
<meta property="og:title" content="Using the velocity-time graphs, plot the coordinate-time graphs. In cases b and c find the average velocity over a large time.">
<meta property="og:title" content="Using the velocity-time graphs, plot the coordinate-time graphs. In cases b and c find the average velocity over a large time.">
<meta property="og:image" content="img/logo.png">
<meta property="og:image" content="img/logo.png">
@@ -14,9 +14,9 @@
<meta property="og:description" content="Using the velocity-time graphs, plot the coordinate-time graphs. In cases b and c find the average velocity over a large time.">
<meta property="og:description" content="Using the velocity-time graphs, plot the coordinate-time graphs. In cases b and c find the average velocity over a large time.">
$1.1.15.$ Using the velocity-time graphs, plot the coordinate-time graphs. In cases b and c find the average velocity over a large time.
$1.1.15.$ Using the velocity-time graphs, plot the coordinate-time graphs. In cases b and c find the average velocity over a large time.
</p>
</p>
<center>
<center>
<figure>
<figure>
<img src="statement.png"
<img src="statement.png"
loading="lazy" width="350" />
loading="lazy" width="350" />
<figcaption>
<figcaption>
For problem 1.1.15
For problem 1.1.15
</figcaption>
</figcaption>
</figure>
</figure>
</center>
</center>
<p>
<p>
</p>
</p>
<h3>Solution</h3>
<h3>Solution</h3>
<p>
<p>
<center>
<center>
<figure>
<figure>
<img id="sol" src="sol.png"
<img id="sol" src="sol.png"
loading="lazy" alt="1.1.15" width="400" />
loading="lazy" alt="1.1.15" width="400" />
<figcaption>
<figcaption>
Graph-a of time dependence of coordinate
Graph-a of time dependence of coordinate
</figcaption>
</figcaption>
</figure>
</figure>
</center>
</center>
<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 the coordinate on 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 the coordinate on time.
</p>
</p>
<center>
<center>
<figure>
<figure>
<img src="graph1.png"
<img src="graph1.png"
loading="lazy" alt="1.1.15" width="400" />
loading="lazy" alt="1.1.15" width="400" />
<figcaption>
<figcaption>
Graph-b of time velocity of time
Graph-b of time velocity of time
</figcaption>
</figcaption>
</figure>
</figure>
</center>
</center>
<p>
<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.
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>
<p style="text-align: center;">
<p style="text-align: center;">
$v_{av} = 0 \; \text{m/s}$
$v_{av} = 0 \; \text{m/s}$
</p>
</p>
<br>
<br>
<center>
<center>
<figure>
<figure>
<img src="graph2.png"
<img src="graph2.png"
loading="lazy" alt="1.1.15" width="400" />
loading="lazy" alt="1.1.15" width="400" />
<figcaption>
<figcaption>
Graph-c of time velocity of time
Graph-c of time velocity of time
</figcaption>
</figcaption>
</figure>
</figure>
</center>
</center>
<p>
<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.
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.
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
