Suppose that an object's acceleration is given by a(t) = 4t-2 a ( t ) = 4 t − 2 meters per second squared. the object records an initial velocity of v(0) = 2 v ( 0 ) = 2 . the object's position was known at two seconds to be s(2)=3 s ( 2 ) = 3 . determine the correct position function s(t) s ( t ) .