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The distance d that a certain particle moves may be calculated from the expression d = at + bt2 where a and b are constants; and t is the elapsed time. what must the dimensions …
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The distance d that a certain particle moves may be calculated from the expression d = at + bt2 where a and b are constants; and t is the elapsed time. what must the dimensions …
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Mar 15, 2018
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The distance d that a certain particle moves may be calculated from the expression d = at + bt2 where a and b are constants; and t is the elapsed time. what must the dimensions of the quantities a and b be, respectively?
Mathematics
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Tasegula
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Guven that the
distance d that a certain particle moves may be calculated from the expression
where a and b are constants; and t is the elapsed time.
Distance is a length and hence the dimension of distance is L.
Now,
and
also will have the dimension of L.
Time has a dimension of T.
For
, let the dimension of
be
, then
For
, let the dimension of
be
, then
Therefore, the dimension of
is
while the dimension of
is
.
Apieceofbart
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Mar 18, 2018
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Apieceofbart
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