The supplied statement states that B has the dimensions L/T².
Measurements like length, width, or height are referred to as dimensions. When you discuss an object or location's dimensions, you're referring to its size and proportions.
Dimensions include length, breadth, and height. One dimension is that of a line, two dimensions are those of a square, and three dimensions are those of a cube (3D).
Just rearranging the equation will get the dimensions.
x = Bt² ----> B= x/t²
Now you are told that x is displacement (L) and t is time (T) so sub these in.
B= L/T² Therefore the dimensions are L/T².
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