An electron moving along the x axis has a position given by x = 14te^-5t m, where t is in seconds. How far is the electron from the origin when it momentarily stops?

Answer 1

If the electron stops, it means that the velocity has gone to zero.

x = 14te^-5t
dx/dt = 14e^-5t (1 - 5t)
that is zero when t = 1/5

x(.2) = 1.03