Check the dimensional consistency of the following equations :
(i) `upsilon = u +at` (ii) `s = ut +(1)/(2) at^2`
(iii) `upsilon^2 - u^2 = 2as`

Explanation

To check the dimensional consistency of the given equations, we will analyze each equation step by step.

### Step 1: Check the first equation \( \upsilon = u + at \)

1. **Identify the dimensions of each term:**
- \( \upsilon \) (final velocity): The dimension of velocity is \( [L T^{-1}] \) (length per time).
- \( u \) (initial velocity): The dimension is also \( [L T^{-1}] \).
- \( a \) (acceleration): The dimension of acceleration is \( [L T^{-2}] \).
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