Mathematics

Mathematics

Problem

A particle moves in space with velocity v(t)=⟨6t, 3, 2t2⟩\mathbf v(t)=\langle 6t,\,3,\,2t^2\rangle. Its position at time t=0t=0 is r(0)=⟨1, −4, 5⟩\mathbf r(0)=\langle 1,\,-4,\,5\rangle. Determine r(2)\mathbf r(2). a) ⟨13, 2, 21⟩\langle 13,\,2,\,21\rangle b) ⟨13, 2, 13⟩\langle 13,\,2,\,13\rangle c) ⟨13, 2, 313⟩\langle 13,\,2,\,\dfrac{31}{3}\rangle d) ⟨25, 2, 21⟩\langle 25,\,2,\,21\rangle

Browse the problem library