A body executing SHM has its velocity its `10 cm//sec` and`7 cm//sec` when its displacement from the mean position are `3 cm` and `4 cm` , respectively. Calculate the length of the path.

Explanation

To solve the problem step by step, we will use the relationship between velocity and displacement in Simple Harmonic Motion (SHM).

### Step 1: Understand the relationship
In SHM, the velocity \( v \) at a displacement \( x \) from the mean position is given by the formula:
\[ v = \omega \sqrt{A^2 - x^2} \]
where \( A \) is the amplitude and \( \omega \) is the angular frequency.
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