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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$$$x(0)=1 \text { and } v(0)=3$$$\newline$Which of the following expression gives the velocity of the particle when $t=8 ?$$\newline$$1+\int_{8}^{0} v(t) d t$$\newline$$3+\int_{8}^{0} a(t) d t$$\newline$$1+\int_{0}^{8} v(t) d t$$\newline$$3+\int_{0}^{8} a(t) d t$