An electron's position is given by r = 2.00t i - 7.00t2 j + 5.00 k, with t in seconds and r in meters.

(a) In unit-vector notation, what is the electron's velocity v(t)? (Answer in terms of i, j, k, and t.)

(b) What is v in unit-vector notation at t = 2.00 s?

Ive tried about 50 different "unit-vector notations" and none have been working.

1 answer

The vector velocity is dr/dt, where r is the position vector.

V = 2 i - 14 t j
There is no k component.
Plug in t = 2 for part )b)