Position of an Electron Moving on the X-Axis: Solve for t

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SUMMARY

The position of an electron moving along the x-axis is defined by the equation x = 10te^(-1.9t) m. To determine when the electron momentarily stops, one must find the time variable t by applying the product rule of differentiation. The derivative of the position function must be set to zero to solve for t, indicating the points where the electron's velocity is zero. The discussion emphasizes the importance of understanding the product rule in calculus for solving such problems.

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A electron moving along the x-axis has a position given by
x = 10te^-1.9t m, where t is in seconds. How far is the electron from the origin when it momentarily stops?

i not exactly sure how to solve for t, since it has 2 t variables in the problem. any help would be appreciated.
 
Last edited:
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Google for the product rule.
 
d(e^x)/dx = e^x.
I think this is where you are stuck.
 

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