A force `F` is given by `F = at + bt^(2)` , where `t` is time . What are the dimensions of `a and b`?

Explanation

To find the dimensions of constants \( a \) and \( b \) in the equation \( F = at + bt^2 \), we will follow these steps:

### Step 1: Identify the dimensions of force
The dimension of force \( F \) is given by:
\[ [F] = M L T^{-2} \]
where \( M \) is mass, \( L \) is length, and \( T \) is time.
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