The velocity `upsilon` of a particle depends upon time t, according to the equation `upsilon = a+ bt +(c )/(d +t)` Write the dimensions of a,b,c, and d.

Explanation

To find the dimensions of the constants \( a \), \( b \), \( c \), and \( d \) in the equation \( \upsilon = a + bt + \frac{c}{d + t} \), we will analyze the equation step by step.

### Step 1: Identify the dimensions of velocity
The equation states that the velocity \( \upsilon \) is equal to \( a + bt + \frac{c}{d + t} \). Since \( \upsilon \) is a velocity, we know that its dimensions are:
\[ [\upsilon] = L T^{-1} \]

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