Suppose an equation relating position,x,to time,t,is given by x = bt³ + ct⁴,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 b and c must compensate for the time dimensions in the equation to result in a position (x) dimension, which is length (L). Thus, for $x = bt^3 + ct^4$, b has dimensions of $L/T^3$ and c has dimensions of $L/T^4$ to ensure the equation's dimensional consistency.

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