A particle's motion is described by the following two parametric equations:
x (t ) = 5cos(2πt )
y (t )= 5sin(27πt )
where the displacements are in meters and t is the time, in seconds.
a) Draw a graph of the particle's trajectory (that is, a graph of y versus x).
b) Determine the equations that describe the x- and y -components of the velocity, νx and νy as functions of time.
c) Draw a graph of the particle's speed as a function of time.
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