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Unformatted text preview: S olomon’s Study Notes College Physics 1 Mechanics & Heat Fall 2011 Solomon Weiskop PhD [ Motion (1) ] These Notes cover Motion in one dimension. Study Notes are available to print out by registering at www.solomonlinetutor.com Solomon Weiskop PhD Solomon’s Tutoring © Copyright 2011 1 1. Physical Quantities Position unit: meter (m) Position is selfexplanatory, it means “where something is”. Position is often described by using coordinate axes: Horizontal Position usually denoted by Vertical ¡ although occasionally and ¡ will both be used to denote horizontal position: Position is a vector It will be denoted by ¢ £¤ ¢ £¤ ¥ ¦ § ¨ ¡© is the “x comp” of ¢ £¤ ¡ is the “y comp” of ¢ £¤ Here I’m actually being inconsistent with the notation introduced in the Study Notes on Vectors . According to that notation I ought to use ¢ and ¢ ¡ for the components of ¢ £¤ but in the specific case of Position that notation is too awkward and people just don’t use it . Note: Many of the things that will be discussed in this section are vectors (Position, Displacement, Velocity, Acceleration) and they will be introduced as such. However, the early part of our discussion will be “one dimensional” (either motion only in x or only in y but not both). So we won’t need the full vector apparatus (magnitude, direction etc.) until we get to two dimensional motion. 2 Displacement unit: meter (m) Displacement is change in Position Displacement is a vector ¡ ¢£ ¤ ¥ ¦ §¨ ©ª § ¤ ¥ § « ¬ § is the “x comp” of displacement © ¤ ¥ © « ¬ © is the “y comp” of displacement Recall that components of a vector can be positive or negative. So, for example, the components of displacement can be positive: or can be negative: Displacement only depends on the “initial” and “final” positions, and not on anything in between. If I start at § ® ¤ ¯°±² and I end up at § « ¤ ¯³´² my displacement is § ¤ ¯°´² regardless of how complicated was my path in between. So, for any “round trip” displacement is zero (since for a round trip the initial and final positions are the same) 3 Ex 1: A ball is thrown vertically straight up from a porch 1.5m above the ground. Eventually the ball hits the ground. What is the displacement of the ball? If the ball had been caught by the person on the porch who threw it, then ¡ ¢ £ (i.e. that would have been a round trip). 4 Velocity unit: meter/second (m/s) Velocity is the rate of change of Position If you are driving your car at 45 mph that means your Position is changing at the rate of 45 miles every hour. Velocity is a vector We will discuss two kinds of velocity: Average and Instantaneous....
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