MathCastle
Multivariable CalculusEasyCurves & Motion

Curves & Motion · Easy problem

A particle has velocity v(t)=(2t, 3t2)\mathbf v(t) = (2t,\ 3t^{2}) and starts at r(0)=(1,0)\mathbf r(0) = (1, 0). How far from the origin is it at t=2t = 2? Give an exact answer.