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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$$$x(2)=1 \quad \text { and } \quad v(2)=7$$$\newline$Which of the following expression gives the position of the particle when $t=0$ ?$\newline$$1+\int_{2}^{0} v(t) d t$$\newline$$1+\int_{0}^{2} v(t) d t$$\newline$$2+\int_{2}^{0} v(t) d t$$\newline$$2+\int_{0}^{2} v(t) d t$