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A particle moves along the $x$-axis such that at any time $t \geq 0$ its position is $x(t)$, its velocity is $v(t)$, and its acceleration is $a(t)$. You are given:$\newline$$$x(1)=2 \quad \text { and } \quad v(1)=5$$$\newline$Which of the following expressions gives the distance traveled by the particle over the interval $1 \leq t \leq 6$ ?$\newline$$\int_{1}^{6} v(t) d t$$\newline$$\int_{1}^{6}|v(t)| d t$$\newline$$\int_{1}^{6} x(t) d t$$\newline$$\int_{1}^{6}|x(t)| d t$