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

Thread starter mb85
Start date Jan 23, 2006
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Derivative

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To determine when the electron momentarily stops, the velocity must be set to zero, requiring the differentiation of the position function x = 10te^-1.9t. The product rule is applicable here, as it involves two variables of t. After differentiating, set the resulting velocity equation to zero to solve for t. The critical points found will indicate the moments when the electron stops. This approach will yield the time at which the electron is at rest along the x-axis.

Jan 23, 2006

mb85

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: Jan 23, 2006

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Jan 23, 2006

eep

Google for the product rule.

Jan 24, 2006

vaishakh

d(e^x)/dx = e^x.
I think this is where you are stuck.

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