Suppose the position of particle 1 is given by the vector r₁ = (4t² i + 2 j) and the position of particle 2 is given by r₂= (2 i - t j) where t represents time. Both vectors are dimensionless.

A. Find the vector R = r₁ - r₂ which is the difference in position between the two particles at any time, and the separation at t = 2. Note that the separation is the magnitude of R. Give your answer to 3 significant figures.

B. Find the vector V, which is defined as V = v₁ - v₂, where v₁ is the velocity vector of particle 1 and v₂ is the velocity vector of particle 2. Note that you get the velocity vector by taking the time derivative of the position vector.