Development of Kinematic Equations

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Derivation of Kinematic Equations
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Presentation transcript:

Development of Kinematic Equations Created for CVCA Physics by Dick Heckathorn 19 September 2K+2

Finding Kinematic Equations vf vi ti tf Setting up the graph.

Finding Kinematic Equations vf vi ti tf Slope is: Finding the slope

Finding Kinematic Equations This gives us equation 1

Finding Kinematic Equations vf Base Average Height vi ti tf The shape is a trapezoid Area = Finding the area

Finding Kinematic Equations These are the two equations we need. Now we have equation 2.

Finding Kinematic Equations But lets make things easier.

Finding Kinematic Equations Eliminate vf as one combines 1 and 2

Finding Kinematic Equations This gives us equation 3

Finding Kinematic Equations Rectangle vf vi Triangle ti tf The area is a rectangle + triangle Area = Finding the area

Finding Kinematic Equations Now eliminate vi combining 1 and 2

Finding Kinematic Equations This gives us equation 4

Finding Kinematic Equations Rectangle vf vi Triangle ti tf The area is a rectangle - triangle Area = Finding the area

Finding Kinematic Equations Now eliminate t combining 1 and 2 This gives equation 5.

Finding Kinematic Equations 1 a vi vf t no d 2 vi vf t d no a 3 a vi t d no vf vf vi 4 a t d no 5 a vi vf d no t

To Solve Kinematic Problems G identify the variables given (3) U identify the unknown variable (1) E find the appropriate equation that contains the 4 variables * solve for the unknown variable S substitute in known variables S solve or

To Solve Kinematic Problems G identify the variables given (3) U identify the unknown variable (1) E find the appropriate equation that does not contains the variable not involved * solve for the unknown variable S substitute in known variables S solve

That’s all there is to it folks.