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<meta property="og:description" content="The graph of the velocity of the body versus time looks like a semicircle. Maximum velocity of the body v_0, time of motion t_0. Determine the distance traveled by the body.">
<title>The graph of the velocity of the body versus time looks like a semicircle. Maximum velocity of the body v_0, time of motion t_0. Determine the distance traveled by the body.</title>
$1.2.6.$ The graph of the velocity of the body versus time looks like a semicircle. Maximum velocity of the body $v_0$, time of motion $t_0$. Determine the distance traveled by the body.
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<center>
<figure>
<img src="statement.png"
loading="lazy" width="180" />
<figcaption>
For problem $1.2.6$
</figcaption>
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</center>
<p>
</p>
<h3>Solution</h3>
<p>
The traveled path can be found as the area under the graph $v(t)$. If the area of the semicircle $S=\pi r^2/2$, then the required path:
<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>
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<meta name="description" content="The graph of the velocity of the body versus time looks like a semicircle. Maximum velocity of the body v_0, time of motion t_0. Determine the distance traveled by the body.">
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<meta property="og:description" content="The graph of the velocity of the body versus time looks like a semicircle. Maximum velocity of the body v_0, time of motion t_0. Determine the distance traveled by the body.">
<meta property="og:description" content="The graph of the velocity of the body versus time looks like a semicircle. Maximum velocity of the body v_0, time of motion t_0. Determine the distance traveled by the body.">
<title>The graph of the velocity of the body versus time looks like a semicircle. Maximum velocity of the body v_0, time of motion t_0. Determine the distance traveled by the body.</title>
<title>The graph of the velocity of the body versus time looks like a semicircle. Maximum velocity of the body v_0, time of motion t_0. Determine the distance traveled by the body.</title>
$1.2.6.$ The graph of the velocity of the body versus time looks like a semicircle. Maximum velocity of the body $v_0$, time of motion $t_0$. Determine the distance traveled by the body.
$1.2.6.$ The graph of the velocity of the body versus time looks like a semicircle. Maximum velocity of the body $v_0$, time of motion $t_0$. Determine the distance traveled by the body.
</p>
</p>
<center>
<center>
<figure>
<figure>
<img src="statement.png"
<img src="statement.png"
loading="lazy" width="180" />
loading="lazy" width="180" />
<figcaption>
<figcaption>
For problem $1.2.6$
For problem $1.2.6$
</figcaption>
</figcaption>
</figure>
</figure>
</center>
</center>
<p>
<p>
</p>
</p>
<h3>Solution</h3>
<h3>Solution</h3>
<p>
<p>
The traveled path can be found as the area under the graph $v(t)$. If the area of the semicircle $S=\pi r^2/2$, then the required path:
The traveled path can be found as the area under the graph $v(t)$. If the area of the semicircle $S=\pi r^2/2$, then the required path:
<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>
