APFIVE Velocity Vector and Magnitude from Position
A particle’s position in the plane is given by the vector function $$\vec{p}(t)=(2*t+1)\,\mathbf{i}+(3*t-2)\,\mathbf{j}$$. Find the velocity vector $$\vec{v}(t)$$ and its magnitude at $$t=2$$.
A
$$\vec{v}(2)=\langle 2,3\rangle\quad \text{with magnitude } 5$$
B
$$\vec{v}(2)=\langle 2*t,3*t\rangle\quad \text{with magnitude } \sqrt{(2*t)^2+(3*t)^2}$$
C
$$\vec{v}(2)=\langle 4,5\rangle\quad \text{with magnitude } \sqrt{41}$$
D
$$\vec{v}(2)=\langle 2,3\rangle\quad \text{with magnitude } \sqrt{13}$$
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