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We study $I=3/2$ elastic $K\pi $ scattering to Born order usingnonrelativistic quark wavefunctions in a constituent-exchange model. Thischannel is ideal for the study of nonresonant meson-meson scattering amplitudessince s-channel resonances do not contribute significantly. Standard quarkmodel parameters yield good agreement with the measured S- and P-wave phaseshifts and with PCAC calculations of the scattering length. The P-wave phaseshift is especially interesting because it is nonzero solely due to $SU(3)_f$symmetry breaking effects, and is found to be in good agreement with experimentgiven conventional values for the strange and nonstrange constituent quarkmasses.Comment: 12 pages + 2 postscript figures, Revtex, MIT-CTP-210

I=3/2Kπ scattering in the nonrelativistic quark potential model