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 Homework Sci Advisor HW Helper Thanks ∞ PF Gold P: 10,972 So, a is acceleration, F is a force Vo is V-subscript-0 (V0) and you want to solve for something unspecified, is this correct? Your notation is confusing - do you mean bold-face to be a vector? In which case, how can you have a scalar equal a vector? Shouldn't acceleration also be a vector? If all these can be taken in the x direction ... ditching the bold-face:$$ma = V_0\frac{a^2}{a^2+x^2}$$... perhaps you want to find x as a function of time? Then why not rearrange so all the powers of "a" are on the left and all the others are on the right, substitute a=d²x/dt² and solve the differential equation? Don't you get a quadratic in "a"?