A ladybug starts at the center of a 12.0in .-diameter turntable and crawls in a straight radial line to the edge. While this is happening, the turntable turns through a 45.0∘ angle.

Find the magnitude of the ladybug's displacement vector.
∣∣r⃗ ∣∣ =

Find 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.

Question

A ladybug starts at the center of a 12.0in .-diameter turntable and crawls in a straight radial line to the edge. While this is happening, the turntable turns through a 45.0∘ angle.

Find the magnitude of the ladybug's displacement vector. 	
	∣∣r⃗ ∣∣ =

Find 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.