A particle moves along the curve r=3ui+3u2j+2u3k in the direction corresponding to increasing u and with a constant speed of 6. Find the velocity and the acceleration particle when it is at the point (3,3,2).
{:[ vec(r)=3v hat(i)+3u^(2) hat(j)+2v^(3) hat(k)],[(dv)/(dv)=3 hat(i)+6v hat(j)+6u^(2) hat(k)],[:. vec(v)=(dr)/(du)=3 hat(i)+6v hat(j)+6u^(2) hat(k)]:}at poin ... See the full answer