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 Homework Statement:

Hello I have a homework question that I am having trouble figuring out. It is in parts and I solved the first 3.
The acceleration of a particle is given by a = A√t where A = 2.0 ms^(5/2).
(d) *Explain the dimensions of A.
 Relevant Equations:
 I did parts (a) to (c) as per usual via integration and solved them for velocity, displacement, etc.
Would the A = 2.0 ms^(5/2) affect my answers for parts (a) to (c)? Since I basically ignored the unit ms^(5/2) and integrated the function to get the ones for velocity and displacement.
And as for part (d) explain the dimensions of A; I assumed that the ms^(1/2) comes from the square root due to the √t but I cannot simply do not know where the power 5 come from.
Thank you!
And as for part (d) explain the dimensions of A; I assumed that the ms^(1/2) comes from the square root due to the √t but I cannot simply do not know where the power 5 come from.
Thank you!