Suppose an equation relating position,x,to time,t,is given by x = b t³ + c t⁴,where b and c are constants.The dimensions of b and c are respectively: A)T³,T⁴. B)1/T³,1/T⁴. C)L/T³,L/T⁴. D)L²*T³,L²*T⁴.

Question

Quizplus · Accepted Answer

The dimensions of position x are [L]. For the term bt^3 to have dimensions of [L], b must have dimensions of [L/T^3]. Similarly, for the term ct^4 to have dimensions of [L], c must have dimensions of [L/T^4].

Suppose an Equation Relating Position,x,to Time,t,is Given by X =