A particle moves in the xy –plane so that it has coordinates: P: = (x(t), y(t)) at time t for 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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moving particle problem

A particle moves in the xy -plane
so that it has coordinates:
P: = (x(t), y(t)) at time t for
0<t<2 seconds.
2
u =x ( t)
1
The plots of: u = x (t) and
u = y (t) are shown in the figure.
『キy(t)
Sketch the graph of the particle's
path in the xy –plane. Include a
plot of the points:
2
2
4
2
4
-1
P = (x(t), y(t)) for
-V2
1 1
t = 0, 7 ' 4'
3
,2 on your plot.
-2
14
Transcribed Image Text:A particle moves in the xy -plane so that it has coordinates: P: = (x(t), y(t)) at time t for 0<t<2 seconds. 2 u =x ( t) 1 The plots of: u = x (t) and u = y (t) are shown in the figure. 『キy(t) Sketch the graph of the particle's path in the xy –plane. Include a plot of the points: 2 2 4 2 4 -1 P = (x(t), y(t)) for -V2 1 1 t = 0, 7 ' 4' 3 ,2 on your plot. -2 14
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