Derivation of equation of motion. Third equations #physics #Newtones equation of motion

 <h2>Q: Derive the Third Equation of Motion</h2>

<p><strong>To Derive:</strong> <br>

v² = u² + 2as</p>

<h3>Given:</h3>

<ul>

  <li>Initial velocity = u</li>

  <li>Final velocity = v</li>

  <li>Acceleration = a</li>

  <li>Displacement = s</li>

</ul>

<h3>Step 1: From First Equation of Motion:</h3>

<p>v = u + at</p>

<p>⇒ t = (v - u)/a</p>

<h3>Step 2: Use Second Equation:</h3>

<p>s = ut + ½at²</p>

<h3>Step 3: Substitute t in s = ut + ½at²</h3>

<p>s = u × (v - u)/a + ½a × [(v - u)/a]²</p>

<p>Simplifying the expression gives:</p>

<p><strong>v² = u² + 2as</strong></p>

<h3>Conclusion:</h3>

<p>This is the third equation of motion.</p>

<p><strong>Need PDF Notes?</strong> Join Telegram: <a href="https://t.me/physicswithabhishek" target="_blank">Click Here</a></p>