An electron's position is given by `vecr=3.00hati-4.00t^(2)hatj+2.00hatk`, with t in seconds and `vecr` in meters. (a) In unit-vector notation, what is the electron's velocity `vecr(t)`? At t = 3.00 s, what is `vecv` (b) in unitvector notation and as ( c) a magnitude and (d) an angle relative to the positive direction of the x axis?

Explanation

(a) `(3.00m//s)hati-(8.00tm//s)hatj,` (b) `(3.00hati-24.0hatj)m//s,` ( c) 24.2 m/s, (d) `82.9^(@)` measured clockwise from the +x direction, or `277^(@)` counterclockwise from +x)