46. The figure below shows the acceleration–time graph of a moving object that at moment $t = 0\,\text{s}$ has velocity $\vec{V} = +\!\left(8\,\dfrac{\text{m}}{\text{s}}\right)\hat{i}$ and has been moving. What is the average velocity of the object in these 8 seconds (in meters per second)? [Figure: acceleration-time graph with $a\,(\frac{\text{m}}{\text{s}^2})$ on vertical axis and $t\,(\text{s})$ on horizontal axis. The graph shows $a = +2$ from $t=0$ to $t=3$, then $a = -6$ from $t=3$ to $t=8$.]
[(1)] $12$
[(2)] $15$
[(3)] $\dfrac{43}{4}$
[(4)] $\dfrac{53}{6}$
\textbf{46.} The figure below shows the acceleration–time graph of a moving object that at moment $t = 0\,\text{s}$ has velocity $\vec{V} = +\!\left(8\,\dfrac{\text{m}}{\text{s}}\right)\hat{i}$ and has been moving. What is the average velocity of the object in these 8 seconds (in meters per second)?
\textit{[Figure: acceleration-time graph with $a\,(\frac{\text{m}}{\text{s}^2})$ on vertical axis and $t\,(\text{s})$ on horizontal axis. The graph shows $a = +2$ from $t=0$ to $t=3$, then $a = -6$ from $t=3$ to $t=8$.]}
\begin{itemize}
\item[(1)] $12$
\item[(2)] $15$
\item[(3)] $\dfrac{43}{4}$
\item[(4)] $\dfrac{53}{6}$
\end{itemize}
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