Edit to “Statement”
en/1.1.16.md
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| ### Statement | |||
| − | $1.1.16.$ A particle moves in one plane. From the graphs of the time dependence of the velocity projections $v_x$ and $v_y$ plot the trajectory of the particle if $x_{(0)} = 2 | ||
| + | $1.1.16.$ A particle moves in one plane. From the graphs of the time dependence of the velocity projections $v_x$ and $v_y$ plot the trajectory of the particle if $x_{(0)} = 2\text{ m}$, $y_{(0)} = 1\text{ m}$. | ||
|  | |||
| ### Solution | |||
| Taking into account the physical meaning of the area under the graph of velocity versus time, we obtain the graphs of the dependence of coordinate versus time. | |||
|  | |||
|  | |||
| Overlaying the graph of the dependence of $x(t)$ and $y(t)$ on each other at the corresponding time intervals, we obtain: | |||
|  | |||
| unchanged lines 11 | |||
| @@ -1,6 +1,6 @@ | |||
| ### Statement | ### Statement | ||
| $1.1.16.$ A particle moves in one plane. From the graphs of the time dependence of the velocity projections $v_x$ and $v_y$ plot the trajectory of the particle if $x_{(0)} = 2 |
$1.1.16.$ A particle moves in one plane. From the graphs of the time dependence of the velocity projections $v_x$ and $v_y$ plot the trajectory of the particle if $x_{(0)} = 2\text{ m}$, $y_{(0)} = 1\text{ m}$. | ||
|  |  | ||
| ### Solution | ### Solution | ||
| Taking into account the physical meaning of the area under the graph of velocity versus time, we obtain the graphs of the dependence of coordinate versus time. | Taking into account the physical meaning of the area under the graph of velocity versus time, we obtain the graphs of the dependence of coordinate versus time. | ||
|  |  | ||
|  |  | ||
| Overlaying the graph of the dependence of $x(t)$ and $y(t)$ on each other at the corresponding time intervals, we obtain: | Overlaying the graph of the dependence of $x(t)$ and $y(t)$ on each other at the corresponding time intervals, we obtain: | ||
|  |  | ||
| unchanged lines 11 | |||