Give statement of Newton's second law of motion. Deduce a mathematical formulation for it .

Explanation

### Step-by-Step Solution

**Step 1: State Newton's Second Law of Motion**
Newton's Second Law of Motion states that the rate of change of linear momentum of a body is directly proportional to the net external force applied to it, and this change occurs in the direction of the applied force.

**Step 2: Define Linear Momentum**
Linear momentum (p) of an object is defined as the product of its mass (m) and its velocity (v). Mathematically, it can be expressed as:
\[ p = m \cdot v \]
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