The velocity vector of the motion described by the position vector of a particle, `r = 2t hati + t^(2) hatj` is given by

Options

A. `v = 2hati + 2thatj`
B. `v = 2t hat I + 2thatj`
C. `v = t hati +t^(2) hatj`
D. `v = 2hati +t^(2) hatj`

Answer

A

Explanation

Given `r = 2t hati +t^(2) hatj`
Velocity vector `v = (dr)/(dt)` and using `(d)/(dx) x^(n) = nx^(n-1)`
We have, `(dr)/(dt) = 2hati +2t hatj`