**(a)**

From the principle of homogeneity, At^{3} can be dimensionally written as:

At^{3} = x

(a) Assume the equation x = At^{3} + Bt describes the motion of a particular object with x having the dimension of length and t having the dimension of time. Determine the dimensions of the constants A and B. (b) Determine the dimensions of the derivative dx/dt = 3At^{2} + B

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