Aladybug starts at the center of a 16.0in.-diameter turntable and crawls in a straight radial line to the edge. while this is happening, the turntable turns through a 30.0degree angle.
a) find the magnitude of the ladybug's displacement vector.
b) find the direction of the ladybug's displacement vector. express your answer as an angle between the displacement vector and the initial direction of the motion.

A) 8.00 in B)30.0° from initial direction

Explanation:

A)

The Diameter of the turntable is 16 inch so the radius

r = D/2 = 16/2 = 8 inches

Since the lady bug moves from the center to the edge, the displacement is equal to the radius in magnitude

S = r = 8 inches

B)

Let us say the lady bug is moving in positive x axis initially, so the lady bug must have moved an angle of 30° degrees when it reached the edge of the turntable.

θ = 30° - 0°

θ = 30°