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A ladybug 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.

AFind the magnitude of the ladybug's displacement vector.
BFind the direction of the ladybug's displacement vector. Please express your answer as an angle between the displacement vector and the initial direction of the motion.

Verified Answer :

Chlidonias

Answer:

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°

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