Lecture 3 Strategy 1 determine the number of moving objects 2 for each moving object draw a coordinate system a coordinate system b axis unit vectors coordinate functions x t y t that locate position of object at time t 3 Identify any given information at some xed time 4 Goal get the equations of motion Non constant acceleration and integration Integration is the inverse operation of differentiation Sports Car problem 1 determine the number of moving objects One object the car 2 for each moving object draw a coordinate system 3 Identify any given information at some xed time 4 Goal get the equations of motion a coordinate system b axis unit vectors coordinate functions x t y t that locate position of object at time t Vector decomposition in two dimensions Position velocity and accelerations in different reference frames Law of addition of velocities Projectiles Suppose an object is moving then the observers in different reference frames will measure different accelerations Acceleration of frame 2 with respect to frame 1 Acceleration of the object in frame 1 Acceleration of the object in frame 2 Acceleration of the object in two difference reference frames Projectile Motion Components of acceleration Force Newton s Second Law Acceleration Special Case Constant acceleration Acceleration Velocity Position
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