Position of a body with acceletation a is given box `x=ka^(m)t^(n)`, where t is time and k is numeric constant. Find the value of m.

Explanation

To find the value of \( m \) in the equation \( x = k a^m t^n \), where \( x \) is the position of a body, \( a \) is the acceleration, \( t \) is time, and \( k \) is a numeric constant, we will analyze the dimensions of each term in the equation.

### Step 1: Identify the dimensions of each variable
- The dimension of position \( x \) is \( [L] \) (length).
- The dimension of acceleration \( a \) is \( [L T^{-2}] \) (length per time squared).
- The dimension of time \( t \) is \( [T] \).

### Step 2: Write the dimensions of the right-hand side
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