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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$$$x(5)=7 \quad \text { and } \quad v(5)=4$$$\newline$Which of the following expression gives the velocity of the particle when $t=0$ ?$\newline$$4+\int_{0}^{5} x(t) d t$$\newline$$4+\int_{5}^{0} x(t) d t$$\newline$$4+\int_{5}^{0} a(t) d t$$\newline$$4+\int_{0}^{5} a(t) d t$