The velocity vector of the motion described by the position vector of a particle r=2ti^+t2j^ is given by
v = 2i^+2tj^
v = 2t i^+2t j^
v = t i^+t2 j^
v = 2 i^+t2 j^
Given, r=2ti^+t2j^
Velocity vector, v=drdt and using ddxxn=nxn-1
We have, v=drdt =2i⏞ + 2tj⏞