Describe the motion of a particle with position (x,y) as t varies in the given interval. x=3sint, y=1+cost, 0≤t≤3π/2
Question
Describe the motion of a particle with position (x,y) as t varies in the given interval. x=3sint, y=1+cost, 0≤t≤3π/2
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Mathematics
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2021-07-22T11:10:10+00:00
2021-07-22T11:10:10+00:00 1 Answers
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please show all workings
=11
Answers ( )
Answer:
The motion is centered about (0,1)
Step-by-step explanation:
x = 3sint —- (1)
y = 1 + cos(t) —– (2)
x^2 = 9 *sin(t)*sin(t)
hence; (x^2)/9 = sin(t)*sin(t) —- (3)
y-1 = cos(t)
hence; (y-1)^2 = cos(t) * cos(t) —- (4)
adding equation 3 and 4
(x^2)/9 + ( y – 1 )^2 = 1
The motion is centered about (0,1)