Question: Starting from a position with rotational coordinate zero, an object moves in the positive (vartheta) direction at a constant speed of (3.0 mathrm{~m} / mathrm{s})

Starting from a position with rotational coordinate zero, an object moves in the positive $\vartheta$ direction at a constant speed of $3.0 \mathrm{~m} / \mathrm{s}$ along the perimeter of a circle of radius $2.0 \mathrm{~m}$.

(a) What is the object's rotational coordinate after 1.5 s?

(b) How long does it take the object to complete one revolution?

(c) What is its rotational coordinate $1.0 \mathrm{~s}$ after passing a point on the circle whose polar angle is $90^{\circ}$ ?

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