Edit to “Solution”
en/1.1.15.md
+3 −3
| ### 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. | |||
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| @@ -6,17 +6,17 @@Statement | |||
| ### Solution | |||
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| + |  | ||
| 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. | |||
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| 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 | |||
| See figure; б) $v_{av} = 0$, в) $v_{av} = 1 \, \text{m/s}$ | |||
| unchanged lines 7 | |||
| ### 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. | ||
|  |  | ||
| @@ -6,17 +6,17 @@Statement | |||
| ### 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 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 | ||
| See figure; б) $v_{av} = 0$, в) $v_{av} = 1 \, \text{m/s}$ | See figure; б) $v_{av} = 0$, в) $v_{av} = 1 \, \text{m/s}$ | ||
| unchanged lines 7 | |||