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If $v(t)$ is the velocity measured in $\text{meters/second}$, of a particle moving in a straight line, what is the BEST interpretation of

$$\int _{ 1 }^{ t }{ v(z)dz} $$

A

The integral represents the change in position measured in $\text{meters}$, during the time interval $[1,t]$.

B

The integral represents the final position measured in $\text{meters}$, after $t$ seconds.

C

The integral represents the change in velocity measured in $\text{meters/second}$, during the time interval $[1,t]$.

D

The integral represents the change in acceleration measured in $\text{meters/second}^{2}$, after $t$ $\text{seconds}$.

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