Question

Please solve it with explanation.

Answer 1

Given that,
a= A sinBt
We know that an angle is a dimensionless quantity.
[Bt]=1
B[1/T]=[T^-1]
By the principle of homogeneity we find,
[LT^-2]=A[1]
A=[LT^-2]
Ans: A=[LT^-2] and B=[T^-1]