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

If 1 lb of fat is stored by the body for each 14.6×103kj of excess nutritional energy consumed, how long will it take this person to gain 1 lb?

30 points - when can a theory be modified if a new type of technology allows for new observations that raise new questions? a. immediately, while the questions about the theory are being asked b. after new hypotheses related to the theory are tested in experiments c. only after the new observations disprove all parts of the theory d. while scientists begin to think about how the theory could improve

Aplayground merry-go-round has a radius of 4.6 m and a moment of inertia of 200 kg-m2 and turns with negligible friction about a vertical axle through its center. a child applies a 26.0 n force tangentially to the edge of the merry-go-round for 15.0 seconds. if the merry-go-round is initially at rest, how much work did the child do on the merry-go-round?