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+ <meta name="keywords" content="Savchenko Problems in Physics, Savchenko solutions, physics problems, physics olympiad preparation, IPhO, Jaan Kalda">
+ <meta name="description" content="A small body moves at a constant velocity v along a trajectory consisting of two smoothly connected arcs of circles of radius R and \frac{R}{3}. Plot the acceleration vectors at the marked points of the trajectory.">
+ <meta name="author" content="Aliaksandr Melnichenka">
+ <meta name="date" content="2023-10" scheme="YYYY-MM">
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+ <title>A small body moves at a constant velocity v along a trajectory consisting of two smoothly connected arcs of circles of radius R and \frac{R}{3}. Plot the acceleration vectors at the marked points of the trajectory.</title>
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+ <h2>Solutions of Savchenko Problems in Physics</h2>
+ <p class="author">
+ Aliaksandr Melnichenka <br/>
+ October 2023
+ </p>
+ </header>
+
+ <h3 id="back-link"><a href="../../#1.3">$\leftarrow$Back</a></h3>
+
+ <h3> Statement </h3>
+ <p>
+ $1.3.23.$ A small body moves at a constant velocity $v$ along a trajectory consisting of two smoothly connected arcs of circles of radius $R$ and $\frac{R}{3}$. Plot the acceleration vectors at the marked points of the trajectory.
+ </p>
+
+ <h3>Solution</h3>
+ <p>
+ <center>
+<figure>
+<img src="https://savchenkosolutions.com/1/1.3.23/sol.png" id="fig"
+loading="lazy" width="200" />
+<figcaption>
+Direction of acceleration
+</figcaption>
+</figure>
+</center>
+
+<p>Acceleration is directed along the radius-curvature of the trajectory and is equal to</p>
+<p class="exp">
+$$ \fbox{$ a = \frac{v^2}{r}$} $$
+</p>
+ </p>
+
+ <h4>Answer</h4>
+ <p>
+ See <a href="#fig">figure</a>
+ </p>
+
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