Consider an object following the path of the two-dimensional vector-valued function $\vec p(t)=\left( {2t^{2}+2t+4},{2t^{2}+3t+3} \right)$. When does it pass through the point $({4},{3})$? If it passes through that point, give the $t$ value. If it does not pass through that point, enter NONE as the answer. Answer: When does it pass through the point $({28},{28})$? If it passes through that point, give the $t$ value. If it does not pass through that point, enter NONE as the answer. Answer: When does it pass through the point $({64},{68})$? If it passes through that point, give the $t$ value. If it does not pass through that point, enter NONE as the answer. Answer: When is it at rest? If it is at rest at some point, give the $t$ value. If it is never at rest, enter NONE as the answer. Answer: