An object has a circular orbit given by the parametric equations
x (t) = R cos ωt
y (t) = R sin ωt
R > 0 is the radius of the circle.
ω is the angular velocity.
a. Write the formula for the speed of this object in terms of the radius, R. and angular velocity, ω (you can type ω for this symbol in the answer box). Your answer must be completely simplified.
b. List the first three times t ≥ 0 the object is moving vertically and upward.
c. List the first three times t ≥ 0 the object is moving horizontally and to the right.