An electrons position is given by r: 3.00ti 4.00t2j 2.00k, with t in seconds and in

Chapter 4, Problem 6

(choose chapter or problem)

An electron’s position is given by \(\vec{r}=3.00 t \hat{\mathrm{i}}-4.00 t^{2} \mathrm{j}+2.00 \hat{k}\), with t in seconds and \(\vec{r}\) in meters.

(a) In unit-vector notation, what is the electron’s velocity \(\vec{v}\) (t)? At t = 2.00 s, what is \(\vec{v}\)

(b) in unit-vector notation and as

(c) a magnitude and

(d) an angle relative to the positive direction of the x axis?

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