Exercise $7[06$ points$].$ This exercise involves a particle moving a long a straight line with acceleration function a$($t$)=3$t $+8,$ initial velocity v$(0)=2$ and initial position s$(0)=1.30.$ Find its velocity at any time t $($Simplify completely, but use fractions or whole numbers only$).$ v$($t$)=31.$ Find its its position function at any time t $($Simplify completely, but use fractions or whole numbers only$).$ s$($t$)=32.$ Exercise $8[03$ points$].$ Find the first derivatives of the function f$($x$)=$ Z x $25$t $2$ e t dt $($Be careful, use the appropriate variable$).$