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By the principle of dimensional homogeinity, we can say that the dimension of each terms, i.e., x, a, and bt² are equal.
So, [x] = [a] = [bt²]
So, [a] = [x] = L
Therefore, unit of A is metre.
Again, [bt²] = L
=> [b] [t²] = L
=> [b] = L/T² = L T^(-2)
So, unit of b is Metre per square second.
NOTE : The sign [ ] is read as " dimension of. "
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