The solution at revision #11681 of , by astrosander. This is not the current version.
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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 and plot the trajectory of the particle if , .

For problem 1.1.16

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.

Graph of dependence $x(t)$
Graph of dependence
Graph of dependence $y(t)$
Graph of dependence

Overlaying the graph of the dependence of and on each other at the corresponding time intervals, we obtain:

Trajectory of movement
Trajectory of movement