17–22. position from velocity consider an object moving along a line with the given velocity v and initial position. a. determine the position function, for t ú 0, using the antiderivative method b. determine the position function, for t ú 0, using the fundamental theorem of calculus (theorem 6.1). check for agreement with the answer to part (a). 17. v1t2 = sin t on 30, 2p4; s102 = 1