29. (a) As the body moves along the xaxis from xi= 3.0 m to xf= 4.0 m the work done by the force is 22226 3()3 (4.03.0 )21 J.ffiixxxfiWFdxxdx==−=−−=−−=−³³According to the work-kinetic energy theorem, this gives the change in the kinetic energy: WKmvvfi−Δ12diwhereviis the initial velocity (at xi) and vfis the final velocity (at xf). The theorem yields (21J)(8.0 m/s)6.6 m/s.2.0 kgWvvm−=+=+=(b) The velocity of the particle is
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