<meta name="keywords" content="Savchenko Problems in Physics, Savchenko solutions, physics problems, physics olympiad preparation, IPhO, Jaan Kalda">
<meta name="description" content="A body for time t_0 moves with constant velocity v_0. Then its velocity increases linearly with time so that at time 2 t_0 it is equal to 2 v_0. Determine the path traveled by the body for time t > t_0.">
<meta property="og:title" content="A body for time t_0 moves with constant velocity v_0. Then its velocity increases linearly with time so that at time 2 t_0 it is equal to 2 v_0. Determine the path traveled by the body for time t > t_0.">
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@@ -14,9 +14,9 @@
<meta property="og:description" content="A body for time t_0 moves with constant velocity v_0. Then its velocity increases linearly with time so that at time 2 t_0 it is equal to 2 v_0. Determine the path traveled by the body for time t > t_0.">
<title>A body for time t_0 moves with constant velocity v_0. Then its velocity increases linearly with time so that at time 2 t_0 it is equal to 2 v_0. Determine the path traveled by the body for time t > t_0.</title>
$1.2.3.$ A body for time $t_0$ moves with constant velocity $v_0$. Then its velocity increases linearly with time so that at time $2 t_0$ it is equal to $2 v_0$. Determine the path traveled by the body for time $t > t_0$.
</p>
<center>
<figure>
<img src="statement.png"
loading="lazy" width="230" />
<figcaption>
For problem $1.2.3$
</figcaption>
</figure>
</center>
<p>
</p>
<h3>Solution</h3>
<p>
<p>
At time $t_0$, the coordinate was $x_1=v_0t_0$.
</p>
<p>
On the interval from $t_0$ to $2t_0$, the acceleration is constant and equal to $a=\frac{v_0}{t_0}$.
</p>
<p>
In the case of equiaxcelerated motion with initial velocity $v_0$ from time $t_0$, the path is found as
<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="A body for time t_0 moves with constant velocity v_0. Then its velocity increases linearly with time so that at time 2 t_0 it is equal to 2 v_0. Determine the path traveled by the body for time t > t_0.">
<meta name="description" content="A body for time t_0 moves with constant velocity v_0. Then its velocity increases linearly with time so that at time 2 t_0 it is equal to 2 v_0. Determine the path traveled by the body for time t > t_0.">
<meta property="og:title" content="A body for time t_0 moves with constant velocity v_0. Then its velocity increases linearly with time so that at time 2 t_0 it is equal to 2 v_0. Determine the path traveled by the body for time t > t_0.">
<meta property="og:title" content="A body for time t_0 moves with constant velocity v_0. Then its velocity increases linearly with time so that at time 2 t_0 it is equal to 2 v_0. Determine the path traveled by the body for time t > t_0.">
<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="A body for time t_0 moves with constant velocity v_0. Then its velocity increases linearly with time so that at time 2 t_0 it is equal to 2 v_0. Determine the path traveled by the body for time t > t_0.">
<meta property="og:description" content="A body for time t_0 moves with constant velocity v_0. Then its velocity increases linearly with time so that at time 2 t_0 it is equal to 2 v_0. Determine the path traveled by the body for time t > t_0.">
<title>A body for time t_0 moves with constant velocity v_0. Then its velocity increases linearly with time so that at time 2 t_0 it is equal to 2 v_0. Determine the path traveled by the body for time t > t_0.</title>
<title>A body for time t_0 moves with constant velocity v_0. Then its velocity increases linearly with time so that at time 2 t_0 it is equal to 2 v_0. Determine the path traveled by the body for time t > t_0.</title>
$1.2.3.$ A body for time $t_0$ moves with constant velocity $v_0$. Then its velocity increases linearly with time so that at time $2 t_0$ it is equal to $2 v_0$. Determine the path traveled by the body for time $t > t_0$.
$1.2.3.$ A body for time $t_0$ moves with constant velocity $v_0$. Then its velocity increases linearly with time so that at time $2 t_0$ it is equal to $2 v_0$. Determine the path traveled by the body for time $t > t_0$.
</p>
</p>
<center>
<center>
<figure>
<figure>
<img src="statement.png"
<img src="statement.png"
loading="lazy" width="230" />
loading="lazy" width="230" />
<figcaption>
<figcaption>
For problem $1.2.3$
For problem $1.2.3$
</figcaption>
</figcaption>
</figure>
</figure>
</center>
</center>
<p>
<p>
</p>
</p>
<h3>Solution</h3>
<h3>Solution</h3>
<p>
<p>
<p>
<p>
At time $t_0$, the coordinate was $x_1=v_0t_0$.
At time $t_0$, the coordinate was $x_1=v_0t_0$.
</p>
</p>
<p>
<p>
On the interval from $t_0$ to $2t_0$, the acceleration is constant and equal to $a=\frac{v_0}{t_0}$.
On the interval from $t_0$ to $2t_0$, the acceleration is constant and equal to $a=\frac{v_0}{t_0}$.
</p>
</p>
<p>
<p>
In the case of equiaxcelerated motion with initial velocity $v_0$ from time $t_0$, the path is found as
In the case of equiaxcelerated motion with initial velocity $v_0$ from time $t_0$, the path is found as
<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>
