Question

suppose that the displacement of an object is related to the time according to the expression x=Bt². What are the dimensions of B?

Answer 1

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.

1. The dimension of displacement is length, denoted as L.
2. The dimension of time is time, denoted as T.
3. Since the expression x = Bt² is dimensionally consistent, the dimensions on both sides of the equation must be the same.
4. Therefore, the dimension of B is L/T² (length divided by time squared).