Each of the following equations describes the motion of a particle moving along the unit circle in the ry-plane. However, the dynamics are different in each case. In each case, determine whether the particle has constant speed, whether the particle's acceleration is always orthogonal to its velocity, which direction the particle travels, and where the particle begins. QUESTION 7(t) (cos t) i – (sin t) j, t > 0. Does the particle have constant speed? Yes v Is the particle's acceleration vector always orthogonal to its velocity vector? No Does the particle move clockwise or counterclockwise around the circle? ? Does the particle begin at the point (1, 0)? Yes v Clockwise Counterclockwise Both Neither

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A: Given that:

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.