The position of an object in circular motion is modeled by the parametric equations x =

hexacordoK

hexacordoK

Answered question

2021-08-22

The position of an object in circular motion is modeled by the parametric equations x=3sin2t y=3cos2t where t is measured in seconds. 
Outline the trajectory of the object by providing the radius of the circle, the location at time t = 0, the direction of motion (clockwise or counterclockwise), and the time t it takes to complete one cycle around the circle.

Answer & Explanation

Willie

Willie

Skilled2021-08-23Added 95 answers

The data in the question indicates that
x=2sint
y=2cost
The radius of a circle can be calculated using the following formula: 
r=a2+b2
r=(2sint)2+(2cost2)
r=4sin2t+4cos2t
Using trigonometric identity,
cos2t+4sin2t=1
r=41
r=2 unit
Motion= clock wise
the time for complete 1=2π=23.14=6.28
.:t=6.28

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