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equation s(in Tth second)=u+at-a/2 seems to be dimensionally incorrect.why?
we know s=ut + 1/2.a.t^2
putting t=1
s=u + 1/2.a.............(1)
THIS EQ. IS ALSO DIMENSIONALLY INCORRECT,according to your question.
buts its not so
the eq. s(at Tth sec.)=S(t) - s(t-1)
= u + at -a/2
hence we see that the value of time =(t) and (t-1) has already been put.as a result it appears that the dimensions
incorrect.its the same case as of eq.(1).
IT DOES NOT VIOLATE THE DIMENSIONAL CONCEPT.
the above question is
s=distance but
acoording to question the aboveequation has a unit m/sec which is independently added so we can
say it is dimensionall wrong
u+at-a/2
u=a(t-1/2) how can it be correct t-1/2 isn''t possible becz time -constant term is dimensinally wrong
s=u+a(t-1/2) is the correct formula..
Yes , this is a dimensionally incorrect formula but it is derived for our help and it do violates the law of dimensions ... but we need to accept this as it is ... bcoz this helps us in problems...
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