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+ <meta name="author" content="Aliaksandr Melnichenka">
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+ <header style="text-align:center;">
+ <h2>Solutions of Savchenko Problems in Physics</h2>
+ <p class="author">
+ Aliaksandr Melnichenka <br/>
+ October 2023
+ </p>
+ </header>
+
+ <h3 id="back-link"><a href="../#1.2">$\leftarrow$Back</a></h3>
+
+ <h3> Statement </h3>
+ <p>
+ $1.2.2.$ Two particles at time $t = 0$ have left the same point. Using the velocity-time graphs, determine the coordinates and time of the new meeting of the particles.
+</p>
+<center>
+ <figure>
+ <img src="statement.png"
+ loading="lazy" width="230" />
+ <figcaption>
+ For problem $1.2.2$
+ </figcaption>
+ </figure>
+</center>
+<p>
+ </p>
+
+ <h3>Solution</h3>
+ <p>
+ <center>
+<figure>
+ <img src="Plot.png" alt="1.2.2"
+ loading="lazy" width="350" />
+ <figcaption>
+ Coordinates of points and their intersection
+ </figcaption>
+</figure>
+</center>
+
+<p>
+ 1. Equations of motion of particles.
+</p>
+<p style="text-align: center;">
+ $$
+{x_{1}(t) = v_{1}t, \quad x_{2}(t) = \frac{at^2}{2}}
+$$
+</p>
+<p>
+2. The velocity of the first particle and acceleration of the second particle are determined by the given dependence $v = f(t)$:
+</p>
+<p style="text-align: center;">
+$$
+{v_{1} = 2\; \frac{m}{s}}, \quad a \equiv 0.33\; \frac{m}{s^{2}}.
+$$
+</p>
+<p>
+3. Particle encounter condition:
+</p>
+<p style="text-align: center;">
+$$
+x_{1}(t_{z}) = x_{2}(t_{z}). \quad t_{z} = \frac{2v_{z}}{a} = 12\; c, \quad x_{z} = 24\; m.
+$$
+</p>
+ </p>
+
+ <h4>Answer</h4>
+ <p>
+ From the region bounded by the angle $α = 2 \, \arcsin \frac{u}{v}$ with vertex at the point $A$, bisected by a freeway.
+ </p>
+
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