A particle has a displacement of 8 m . If one of its rectangular components is 4 m what is the other rectangular component ?

Explanation

To find the other rectangular component of the displacement of a particle given one component and the total displacement, we can use the Pythagorean theorem. Here’s a step-by-step solution:

### Step 1: Understand the components of displacement
We know that the total displacement \( S \) can be resolved into two rectangular components, \( S_x \) and \( S_y \). The relationship between these components and the total displacement is given by:
\[ S^2 = S_x^2 + S_y^2 \]

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