Final answer:
The dimensions of B in the expression x = Bt² are L/T².
Step-by-step explanation:
The dimensions of the constant B in the expression x = Bt² can be determined by analyzing the dimensions of displacement, which is represented by x, and time, represented by t.
- The dimension of displacement is length, denoted as L.
- The dimension of time is time, denoted as T.
- Since the expression x = Bt² is dimensionally consistent, the dimensions on both sides of the equation must be the same.
- Therefore, the dimension of B is L/T² (length divided by time squared).