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The displacement y(t) of a particle depe...

The displacement y(t) of a particle depends on time according in equation `y(t)=a_(1)t-a_(2)t^(2)`. What is the dimensions of `a_(1)` and `a_(2)`?

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To find the dimensions of \( a_1 \) and \( a_2 \) in the equation \( y(t) = a_1 t - a_2 t^2 \), we will use the principle of homogeneity, which states that the dimensions of each term in an equation must be the same. ### Step 1: Identify the dimensions of displacement The left-hand side of the equation represents displacement \( y(t) \). The dimension of displacement is: \[ [L] \] ...
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