Intro to Mathematica
Wolfram Mathematica An important feature of Mathematica is its ability to manipulate symbols It also allows for numerical solutions and data visualization.
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Use Shift+Enter to distinguish something to be evaluated versus just explanatory text
vf == vi + a t In Mathematica and equation requires two equal signs. The expression a t means a multiplied by t and can also be written as a*t. Without a space at would be a new symbol. The symbol vf stands for the final velocity The symbol vi stands for the initial velocity The symbol a stands for the acceleration which is constant for this scenario The symbol t stands for time
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Mathematica can solve (symbolically) the equation for the variable t.
Enter the second kinematics equation
Use /. (ReplaceAll) to substitute in the first kinematics equation solved for time into the second kinematics equation
Using Expand
Assign values to symbols to determine a numerical solution If the acceleration is -9.8 m/s^2 And the initial velocity is 15m/s and initial height is zero What is the “final” position when the final velocity is 0 (i.e. the highest height)?