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<meta name="description" content="The body starts moving from point A and moves first equidistant for time t_0, then with the same modulo acceleration — equidistant. After what time from the beginning of the movement, the body will return to point A?">
<meta property="og:title" content="The body starts moving from point A and moves first equidistant for time t_0, then with the same modulo acceleration — equidistant. After what time from the beginning of the movement, the body will return to point A?">
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@@ -14,9 +14,9 @@
<meta property="og:description" content="The body starts moving from point A and moves first equidistant for time t_0, then with the same modulo acceleration — equidistant. After what time from the beginning of the movement, the body will return to point A?">
<title>The body starts moving from point A and moves first equidistant for time t_0, then with the same modulo acceleration — equidistant. After what time from the beginning of the movement, the body will return to point A?</title>
$1.2.20.$ The body starts moving from point $A$ and moves first equidistant for time $t_0$, then with the same modulo acceleration — equidistant. After what time from the beginning of the movement, the body will return to point $A$?
</p>
<h3>Solution</h3>
<p>
During the time $t_0$ the velocity of the body became equal to $v_0 = at_0$, and the coordinate
$$x_0 = \frac{at_0^2}{2}$$
It takes time $t_1$ for the body to travel the distance $x_1$:
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
<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="The body starts moving from point A and moves first equidistant for time t_0, then with the same modulo acceleration — equidistant. After what time from the beginning of the movement, the body will return to point A?">
<meta name="description" content="The body starts moving from point A and moves first equidistant for time t_0, then with the same modulo acceleration — equidistant. After what time from the beginning of the movement, the body will return to point A?">
<meta property="og:title" content="The body starts moving from point A and moves first equidistant for time t_0, then with the same modulo acceleration — equidistant. After what time from the beginning of the movement, the body will return to point A?">
<meta property="og:title" content="The body starts moving from point A and moves first equidistant for time t_0, then with the same modulo acceleration — equidistant. After what time from the beginning of the movement, the body will return to point A?">
<meta property="og:image" content="img/logo.png">
<meta property="og:image" content="img/logo.png">
@@ -14,9 +14,9 @@
<meta property="og:description" content="The body starts moving from point A and moves first equidistant for time t_0, then with the same modulo acceleration — equidistant. After what time from the beginning of the movement, the body will return to point A?">
<meta property="og:description" content="The body starts moving from point A and moves first equidistant for time t_0, then with the same modulo acceleration — equidistant. After what time from the beginning of the movement, the body will return to point A?">
<title>The body starts moving from point A and moves first equidistant for time t_0, then with the same modulo acceleration — equidistant. After what time from the beginning of the movement, the body will return to point A?</title>
<title>The body starts moving from point A and moves first equidistant for time t_0, then with the same modulo acceleration — equidistant. After what time from the beginning of the movement, the body will return to point A?</title>
$1.2.20.$ The body starts moving from point $A$ and moves first equidistant for time $t_0$, then with the same modulo acceleration — equidistant. After what time from the beginning of the movement, the body will return to point $A$?
$1.2.20.$ The body starts moving from point $A$ and moves first equidistant for time $t_0$, then with the same modulo acceleration — equidistant. After what time from the beginning of the movement, the body will return to point $A$?
</p>
</p>
<h3>Solution</h3>
<h3>Solution</h3>
<p>
<p>
During the time $t_0$ the velocity of the body became equal to $v_0 = at_0$, and the coordinate
During the time $t_0$ the velocity of the body became equal to $v_0 = at_0$, and the coordinate
$$x_0 = \frac{at_0^2}{2}$$
$$x_0 = \frac{at_0^2}{2}$$
It takes time $t_1$ for the body to travel the distance $x_1$:
It takes time $t_1$ for the body to travel the distance $x_1$:
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
