The coordinates of an object moving in the xy plane
vary with time according to the equations x =-5.00 sin (vt) and y= 4.00 – 5.00 cos (vt),
where v is a constant, x and y are in meters, and t is in seconds.
(a) Determine the components of velocity of the
object at t = 0. (b) Determine the components of
acceleration of the object at t = 0. (c) Write expressions
for the position vector, the velocity vector, and
the acceleration vector of the object at any time t > 0.
(d) Describe the path of the object in an xy plot.
2. Relevant equations
x =-5.00 sin (vt)
y= 4.00 – 5.00 cos (vt),
3. The attempt at a solution
I was able to solve all the parts of this question except part d.
I tried plotting the x y coordinates for different values of time, but the value of v is not provided. Should I consider some random value for v?
P.S: v actually has the angular velocity symbol in my book. (the abnormal w).