The position, x, of an object is given by the equation x = A + Bt +Ct², where t refers to time. What are the dimensions of A, B, and C? A) time, time, time B) distance, distance, distance C) distance, time, time² D) distance/time, distance/ time², distance/ time³ E) distance, distance/time, distance/ time²

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Quizplus · Accepted Answer

A must have the dimension of distance to ensure the equation is dimensionally consistent, as x represents position. B, having a t next to it, must be distance/time to cancel out the time dimension, making the term a distance. C is multiplied by t^2, so it must be distance/time^2 to ensure that when multiplied by time squared, the result is a distance.

The Position, X, of an Object Is Given by the Equation