A merry-go-round is stationary. A dog is running around the merry-go-round on the ground just outside its circumference, moving with a constant angular speed of 0.750 rad/s. The dog does not change his pace when he sees what he has been looking for: a bone resting on the edge of the merry-go-round onethird of a revolution in front of him. At the instant the dog sees the bone (t 5 0), the merry-go-round begins to move in the direction the dog is running, with a constant angular acceleration of 0.015 0 rad/s2. (a) At what time will the dog first reach the bone? (b) The confused dog keeps running and passes the bone. How long after the merry-go-round starts to turn do the dog and the bone draw even with each other for the second time?

Thomas 1 Trigonometry Example: Pythagorean Theorem: Scalars & Vectors Scalar quantities are just a number 1. Examples: a. Temperature b. Height c. Mass 2. Note that scaler quantities exclude physical quantities Vector Quantities 1. Vectors are described by magnitude and direction arrows. a. The arrows indicate the direction of the vector. b. Vectors can be used to describe forces, acceleration, and velocity. c. R vectors is proportional to the magnitude of the vector. Vector Addition 1. Consider magnitude and direction while using these. 2. All vectors as seen on a diagram should