I'm given the following information:
\begin{array}{|l|l|l|l|l|l|l|l|} \hline t & 0 & 0.5 & 1.0 & 1.5 & 2.0 & 2.5 & 3.0 \\ v(t) & 3.4 & 4.7 & 6.3 & 8.5 & 9.3 & 9.9 & 10.2 \\ \hline \end{array}
The table represents the velocity of a moving object at time t after passing a particular position.
I'm supposed to find how far the object moves from 0 to 3 seconds. Is this the correct way to do it?
$ \frac{3 - 0}{7} \cdot (3.4 + 4.7 + 6.3 + 8.5 + 9.3 + 9.9 + 10.2 ) $
Leaving me with the answer of: 22.41
EDIT
Left Hand Side:
$ \frac{1}{2}(3.4 + 4.7 + 6.3 + 8.5 + 9.3 + 9.9) $
21.05
Right Hand Side:
$ \frac{1}{2}(4.7 + 6.3 + 8.5 +9.3 +9.9 +10.2) $
24.45
Average:
22.75