Updated spacing between @ latex expressions

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en/1.1.19.md +7 −7
@@ -6,14 +6,14 @@
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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="By what angle will the direction of velocity of the ball change after two elastic impacts on the walls, the angle between which is equal to \alpha? How will the ball fly if the angle \alpha = \pi/2? The motion occurs in a plane perpendicular to the walls. In an elastic collision with a smooth stationary wall, the angle of incidence of the ball is equal to the angle of reflection.">
+ <meta name="description" content="By what angle will the direction of velocity of the ball change after two elastic impacts on the walls, the angle between which is equal to \alpha ? How will the ball fly if the angle \alpha = \pi /2? The motion occurs in a plane perpendicular to the walls. In an elastic collision with a smooth stationary wall, the angle of incidence of the ball is equal to the angle of reflection.">
<meta name="author" content="Aliaksandr Melnichenka">
<meta name="date" content="2023-10" scheme="YYYY-MM">
− <meta property="og:title" content="By what angle will the direction of velocity of the ball change after two elastic impacts on the walls, the angle between which is equal to \alpha? How will the ball fly if the angle \alpha = \pi/2? The motion occurs in a plane perpendicular to the walls. In an elastic collision with a smooth stationary wall, the angle of incidence of the ball is equal to the angle of reflection.">
+ <meta property="og:title" content="By what angle will the direction of velocity of the ball change after two elastic impacts on the walls, the angle between which is equal to \alpha ? How will the ball fly if the angle \alpha = \pi /2? The motion occurs in a plane perpendicular to the walls. In an elastic collision with a smooth stationary wall, the angle of incidence of the ball is equal to the angle of reflection.">
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− <meta property="og:description" content="By what angle will the direction of velocity of the ball change after two elastic impacts on the walls, the angle between which is equal to \alpha? How will the ball fly if the angle \alpha = \pi/2? The motion occurs in a plane perpendicular to the walls. In an elastic collision with a smooth stationary wall, the angle of incidence of the ball is equal to the angle of reflection.">
+ <meta property="og:description" content="By what angle will the direction of velocity of the ball change after two elastic impacts on the walls, the angle between which is equal to \alpha ? How will the ball fly if the angle \alpha = \pi /2? The motion occurs in a plane perpendicular to the walls. In an elastic collision with a smooth stationary wall, the angle of incidence of the ball is equal to the angle of reflection.">
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− <title>By what angle will the direction of velocity of the ball change after two elastic impacts on the walls, the angle between which is equal to \alpha? How will the ball fly if the angle \alpha = \pi/2? The motion occurs in a plane perpendicular to the walls. In an elastic collision with a smooth stationary wall, the angle of incidence of the ball is equal to the angle of reflection.</title>
+ <title>By what angle will the direction of velocity of the ball change after two elastic impacts on the walls, the angle between which is equal to \alpha ? How will the ball fly if the angle \alpha = \pi /2? The motion occurs in a plane perpendicular to the walls. In an elastic collision with a smooth stationary wall, the angle of incidence of the ball is equal to the angle of reflection.</title>
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@@ -50,7 +50,7 @@
<h3> Statement </h3>
<p>
− $1.1.19.$ By what angle will the direction of velocity of the ball change after two elastic impacts on the walls, the angle between which is equal to $\alpha$? How will the ball fly if the angle $\alpha = \pi/2$? The motion occurs in a plane perpendicular to the walls. In an elastic collision with a smooth stationary wall, the angle of incidence of the ball is equal to the angle of reflection.
+ $1.1.19.$ By what angle will the direction of velocity of the ball change after two elastic impacts on the walls, the angle between which is equal to $\alpha$? How will the ball fly if the angle $\alpha = \pi /2$? The motion occurs in a plane perpendicular to the walls. In an elastic collision with a smooth stationary wall, the angle of incidence of the ball is equal to the angle of reflection.
</p>
<center>
<figure>
@@ -84,13 +84,13 @@
Thus, the direction of velocity of the ball after two elastic impacts will change by the angle $\beta = 2\alpha$
</p>
<p>
− When $\alpha=\pi/2$, $\beta = \pi$, i.e., the ball will fly in the opposite direction..
+ When $\alpha =\pi /2$, $\beta = \pi$, i.e., the ball will fly in the opposite direction..
</p>
</p>
<h4>Answer</h4>
<p>
− $\beta = 2\alpha $. In the direction opposite to the initial
+ $\beta = 2\alpha$. In the direction opposite to the initial
</p>
unchanged lines 12