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Tests on a sphere are conducted in a wind tunnel at an air speed of U0. the velocity of flow toward the sphere along the longitudinal axis is found to be u=-U0(1-r0^3/x^2) where r0 is the radius of the sphere and x is the distance from its center. determine the acceleration of an air particle on the x-axis upstream of the sphere in terms of x, r0 and U0.

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