A drone is initially at rest at the origin point, coordinates (0,1), and begins to move across the xy-plane. It accelerates at a constant rate, described by the vector $\(\vec{a}\)=(5.0\(\hat{i}\)+7.0\(\hat{j}\))\(\mathrm{\ m}\)/\(\mathrm{s}\)^2$. What is the drone's speed as a function of time?

• A. $3.5t^2\(\mathrm{\ m}\)/\(\mathrm{s}\)$
• B. $12t^2\(\mathrm{\ m}\)/\(\mathrm{s}\)$
• C. $8.6t\(\mathrm{~m}\)/\(\mathrm{s}\)$
• D. $74t\(\mathrm{\ m}\)/\(\mathrm{s}\)$

Answer: (C)