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			<h2>Solutions of Savchenko Physics Textbook</h2>
			<p class="author">
			Aliaksandr Melnichenka <br/>
			October 2023
			</p>
			</header>

			<h3 id="back-link"><a href="../">$\leftarrow$Back</a></h3>

		@@ -45,6 +45,7 @@
			<h3> Statement </h3>
			<p>
			$1.1.4.$ Three microphones located on the same straight line at points $A$, $B$, $C$ recorded successively at the moments $t_A > t_B > t_C$ the sound of an explosion that occurred at point $O$, which lies on the segment $AC$. Find the length of the segment $AO$ if $AB = BC = L$. At what point in time did the explosion occur?
		+
			<center>
			<figure>
			<img src="statement.png"
			loading="lazy" width="230" />
			<figcaption>
			For problem 1.1.4
			</figcaption>
			</figure>
			</center>
			</p>

			<h3>Solution</h3>
			<p>
			<p>
			1. Let us introduce the following variables
			</p>
			<p>
			$$x_B=L-x$$
			</p>
			<p>
			$$t_A=t_B+\Delta t$$
			</p>
			<p>
			2. Time of flight of $\gamma$-quantum to counters
			</p>
			<p>
			$$t_B+\Delta t=\frac{x}{c}$$
			</p>
			<p>
			$$t_B=\frac{L-x}{c}$$
			</p>
			<p>
			3. Solving the equations together, we obtain
			</p>
			<p>
			$$\frac{L-x}{c} + \Delta t = \frac{x}{c}$$
			</p>
			<p>
			$$x= \frac{L+c\Delta t}{2}=1.15\,м$$
			</p>
			</p>

			<h4>Answer</h4>
			<p>
			At a distance $1.15\, \text{m}$ from the microphone $A$
			</p>


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	<h2>Solutions of Savchenko Physics Textbook</h2>		<h2>Solutions of Savchenko Physics Textbook</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="../">$\leftarrow$Back</a></h3>		<h3 id="back-link"><a href="../">$\leftarrow$Back</a></h3>

	@@ -45,6 +45,7 @@
	<h3> Statement </h3>		<h3> Statement </h3>
	<p>		<p>
	$1.1.4.$ Three microphones located on the same straight line at points $A$, $B$, $C$ recorded successively at the moments $t_A > t_B > t_C$ the sound of an explosion that occurred at point $O$, which lies on the segment $AC$. Find the length of the segment $AO$ if $AB = BC = L$. At what point in time did the explosion occur?		$1.1.4.$ Three microphones located on the same straight line at points $A$, $B$, $C$ recorded successively at the moments $t_A > t_B > t_C$ the sound of an explosion that occurred at point $O$, which lies on the segment $AC$. Find the length of the segment $AO$ if $AB = BC = L$. At what point in time did the explosion occur?

	<center>		<center>
	<figure>		<figure>
	<img src="statement.png"		<img src="statement.png"
	loading="lazy" width="230" />		loading="lazy" width="230" />
	<figcaption>		<figcaption>
	For problem 1.1.4		For problem 1.1.4
	</figcaption>		</figcaption>
	</figure>		</figure>
	</center>		</center>
	</p>		</p>

	<h3>Solution</h3>		<h3>Solution</h3>
	<p>		<p>
	<p>		<p>
	1. Let us introduce the following variables		1. Let us introduce the following variables
	</p>		</p>
	<p>		<p>
	$$x_B=L-x$$		$$x_B=L-x$$
	</p>		</p>
	<p>		<p>
	$$t_A=t_B+\Delta t$$		$$t_A=t_B+\Delta t$$
	</p>		</p>
	<p>		<p>
	2. Time of flight of $\gamma$-quantum to counters		2. Time of flight of $\gamma$-quantum to counters
	</p>		</p>
	<p>		<p>
	$$t_B+\Delta t=\frac{x}{c}$$		$$t_B+\Delta t=\frac{x}{c}$$
	</p>		</p>
	<p>		<p>
	$$t_B=\frac{L-x}{c}$$		$$t_B=\frac{L-x}{c}$$
	</p>		</p>
	<p>		<p>
	3. Solving the equations together, we obtain		3. Solving the equations together, we obtain
	</p>		</p>
	<p>		<p>
	$$\frac{L-x}{c} + \Delta t = \frac{x}{c}$$		$$\frac{L-x}{c} + \Delta t = \frac{x}{c}$$
	</p>		</p>
	<p>		<p>
	$$x= \frac{L+c\Delta t}{2}=1.15\,м$$		$$x= \frac{L+c\Delta t}{2}=1.15\,м$$
	</p>		</p>
	</p>		</p>

	<h4>Answer</h4>		<h4>Answer</h4>
	<p>		<p>
	At a distance $1.15\, \text{m}$ from the microphone $A$		At a distance $1.15\, \text{m}$ from the microphone $A$
	</p>		</p>


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