<!DOCTYPE html> <!DOCTYPE html> <html lang="en"> <html lang="en"> <head> <head> <meta charset="utf-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1.0"> <meta name="viewport" content="width=device-width, initial-scale=1.0"> <meta http-equiv="content-language" content="en"> <meta http-equiv="content-language" content="en"> <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="From the graph of the dependence of the coordinate on time, graph the dependence of the velocity on time."> <meta name="description" content="From the graph of the dependence of the coordinate on time, graph the dependence of the velocity on time."> <meta name="author" content="Aliaksandr Melnichenka"> <meta name="author" content="Aliaksandr Melnichenka"> <meta name="date" content="2023-10" scheme="YYYY-MM"> <meta name="date" content="2023-10" scheme="YYYY-MM"> <meta property="og:title" content="From the graph of the dependence of the coordinate on time, graph the dependence of the velocity on time."> <meta property="og:title" content="From the graph of the dependence of the coordinate on time, graph the dependence of the velocity on time."> <meta property="og:image" content="img/logo.png"> <meta property="og:image" content="img/logo.png">
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extensions: ['tex2jax.js'], extensions: ['tex2jax.js'], jax: ['input/TeX', 'output/HTML-CSS'], jax: ['input/TeX', 'output/HTML-CSS'], tex2jax: { tex2jax: { inlineMath: [['$ ', ' $ '], ['$ ', ' $ ']], inlineMath: [['$ ', ' $ '], ['$ ', ' $ ']], processEscapes: true, processEscapes: true, processClass: 'tex2jax', processClass: 'tex2jax', ignoreClass: 'html' ignoreClass: 'html' }, }, showProcessingMessages: false, showProcessingMessages: false, messageStyle: 'none' messageStyle: 'none' }); }); </script> </script> </head> </head> <body style=""> <body style=""> <header style="text-align:center;"> <header style="text-align:center;"> <h2> Solutions of Savchenko Problems in Physics</h2> <h2> Solutions of Savchenko Problems in Physics</h2> <p class="author"> <p class="author"> Aliaksandr Melnichenka <br/> Aliaksandr Melnichenka <br/> October 2023 October 2023 </p> </p> </header> </header> <h3 id="back-link"><a href="../#1.1"> $ \leftarrow $ Back</a></h3> <h3 id="back-link"><a href="../#1.1"> $ \leftarrow $ Back</a></h3> <h3> Statement </h3> <h3> Statement </h3> <p> <p> $ 1.1.13. $ From the graph of the dependence of the coordinate on time, graph the dependence of the velocity on time. $ 1.1.13. $ From the graph of the dependence of the coordinate on time, graph the dependence of the velocity on time. </p> </p> <center> <center> <figure> <figure> <img src="statement.png" <img src="statement.png" loading="lazy" width="230" /> loading="lazy" width="230" /> <figcaption> <figcaption> For problem 1.1.13 For problem 1.1.13 </figcaption> </figcaption> </figure> </figure> </center> </center> <p> <p> </p> </p> <h3> Solution</h3> <h3> Solution</h3> <p> <p> <center> <center> <figure> <figure> <img src="01.png" <img src="01.png" loading="lazy" alt="1.1.13" width="350" /> loading="lazy" alt="1.1.13" width="350" /> <figcaption> <figcaption> Two different velocities Two different velocities </figcaption> </figcaption> </figure> </figure> </center> </center> <p> <p> In this periodic motion, two velocity regimes can be distinguished: when the velocity is positive and when it is negative. In this periodic motion, two velocity regimes can be distinguished: when the velocity is positive and when it is negative. </p> </p> <p> <p> Based on the speed definition, the speed in each mode will be $ 20 \, \text { m/s } $ and $ 10 \, \text { m/s } $ , respectively: Based on the speed definition, the speed in each mode will be $ 20 \, \text { m/s } $ and $ 10 \, \text { m/s } $ , respectively: </p> </p> <center> <center> <figure> <figure> <img id="sol" src="sol.png" <img id="sol" src="sol.png" loading="lazy" alt="1.1.13" width="350" /> loading="lazy" alt="1.1.13" width="350" /> <figcaption> <figcaption> The velocity graph you're looking for The velocity graph you're looking for </figcaption> </figcaption> </figure> </figure> </center> </center> </p> </p> <h4> Answer</h4> <h4> Answer</h4> <p> <p> <a href=‘#sol’> See image</a> <a href=‘#sol’> See image</a> </p> </p> <footer class="row container"> <footer class="row container"> <br> <br> <p> <p> <small> © <strong> Savchenko Solutions</strong> , 2023-2024 <br></small> <small> © <strong> Savchenko Solutions</strong> , 2023-2024 <br></small> </p> </p> <p> <p> <small> All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> astrosander01@gmail.com <br></small> <small> All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> astrosander01@gmail.com <br></small> </p> </p> </footer> </footer> </body> </body> </html> </html>