Chapter 02b - Chapter 2B Equations of Motion We want to...

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Chapter 2B 1 Equations of Motion We want to define the relationships between displacement, velocity, acceleration and time. We have used 12 different symbols so far: We need to simplify this! x i , x f , x , t i , t f , t , v , v i , v f , v , a , a
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Chapter 2B 2 Simplifications Displacement is important, actual positions are not: x i and x f go away x remains • Our initial times ( t i ) will always be zero: t i goes away t f and t become t v i becomes v 0 v f becomes v
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Chapter 2B 3 Simplifications We will only consider cases where the acceleration is constant: x , v 0 , v , a , t If we know any three of these variables we can calculate the other two. a = a v = 1 2 ( v 0 + v ) This leaves five essential variables:
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Chapter 2B 4 Simplifications Our definition of average velocity becomes: Our definition of acceleration becomes: a = v - v 0 t 1 2 v 0 + v ( 29 = x t By rearranging and combining these definitions we can derive five equations, each relating four of the five essential variables ( x , v 0 , v , a , t ).
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Chapter 02b - Chapter 2B Equations of Motion We want to...

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