## Calculus 8th Edition

$m(6ti+2j+6tk)$ or, $6tmi+2mj+6mtk$
Determine the force of a particle with mass $m$ . Apply Newton's Second law of kinematics. Force vector: $F(t)=ma(t)$ As we are given that $r(t)=t^3i+t^2j+t^3k$ $v(t)=r'(t)=3t^2i+2tj+3t^2k$ and $a(t)=v'(t)=6ti+2j+6tk$ Consider the force vector equation such as $F(t)=ma(t)=m(6ti+2j+6tk)$ $F(t)=m(6ti+2j+6tk)$ or, $F(t)=6tmi+2mj+6mtk$