Edit to “Solution”
en/1.1.15.md
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| ### Statement | |||
| $1.1.15.$ Using the velocity-time graphs, plot the coordinate-time graphs. In cases $b$ and $c$ find the average velocity over a large time. | |||
| @@ -5,7 +5,7 @@Statement | |||
|  | |||
| ### Solution | |||
| − | d | ||
| + | |||
|  | |||
| Taking into account the physical meaning of the area under the graph of velocity versus time, we obtain the graphs of the dependence of the coordinate on time. | |||
|  | |||
| In case $b$), in equal time intervals, the body travels forward and backward the same distance. Consequently, for a large time, the displacement will be close to zero and the average velocity will be zero. | |||
| $$v_{av} = 0 \text{ m/s}$$ | |||
|  | |||
| In case $c$) for equal time intervals, the body is no longer travelling equal distances. For every 4 seconds, it moves in the positive direction by 4 meters. | |||
| Here we go: | |||
| $$v_{av} = 1 \text{ m/s}$$ | |||
| #### Answer | |||
| a) See figure; | |||
| b) $v_{av} = 0$, | |||
| c) $v_{av} = 1 \text{ m/s}$ | |||
| unchanged lines 20 | |||
| ### Statement | ### Statement | ||
| $1.1.15.$ Using the velocity-time graphs, plot the coordinate-time graphs. In cases $b$ and $c$ find the average velocity over a large time. | $1.1.15.$ Using the velocity-time graphs, plot the coordinate-time graphs. In cases $b$ and $c$ find the average velocity over a large time. | ||
| @@ -5,7 +5,7 @@Statement | |||
|  |  | ||
| ### Solution | ### Solution | ||
| d | |||
|  |  | ||
| Taking into account the physical meaning of the area under the graph of velocity versus time, we obtain the graphs of the dependence of the coordinate on 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 the coordinate on time. | ||
|  |  | ||
| In case $b$), in equal time intervals, the body travels forward and backward the same distance. Consequently, for a large time, the displacement will be close to zero and the average velocity will be zero. | In case $b$), in equal time intervals, the body travels forward and backward the same distance. Consequently, for a large time, the displacement will be close to zero and the average velocity will be zero. | ||
| $$v_{av} = 0 \text{ m/s}$$ | $$v_{av} = 0 \text{ m/s}$$ | ||
|  |  | ||
| In case $c$) for equal time intervals, the body is no longer travelling equal distances. For every 4 seconds, it moves in the positive direction by 4 meters. | In case $c$) for equal time intervals, the body is no longer travelling equal distances. For every 4 seconds, it moves in the positive direction by 4 meters. | ||
| Here we go: | Here we go: | ||
| $$v_{av} = 1 \text{ m/s}$$ | $$v_{av} = 1 \text{ m/s}$$ | ||
| #### Answer | #### Answer | ||
| a) See figure; | a) See figure; | ||
| b) $v_{av} = 0$, | b) $v_{av} = 0$, | ||
| c) $v_{av} = 1 \text{ m/s}$ | c) $v_{av} = 1 \text{ m/s}$ | ||
| unchanged lines 20 | |||