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<title>Adventure 4 — Free Fall</title>
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<div class="wrap">
<div style="display:flex; flex-wrap:wrap; gap:12px; margin-bottom:0.8rem;">
<a href="index.html"><button class="secondary">🧭 Hub</button></a>
<a href="adventure_4_story.html"><button class="secondary">📖 Story</button></a>
<a href="adventure_4.html"><button class="secondary">✅ Activity</button></a>
<span id="score" class="subtitle" style="margin:0; padding:0;"></span>
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<h1>🚀 Adventure 4 — Free Fall</h1>
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<b>Use the charts to connect height, velocity, and acceleration — and discover why calculus is really “slope + area”.</b>
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<h2>🎯 What you will learn</h2>
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<ul style="margin:0.2rem 0 0.2rem 1.1rem;">
<h3>Velocity v(t) is the slope of the distance graph x(t).</h3>
<h3>Acceleration due to gravity g(t) is the slope of Velocity graph v(t).</h3>
<h3>Acceleration of gravity g(t) is constant and approximately equal to 10 meters per second squared.</h3>
<h3>Constant acceleration due to gravity makes v(t) linear and x(t) quadratic.</h3>
</ul>
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<h2>📖 1) Read / Listen: Story</h2>
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<ul>
<li>📖 <strong><a href="adventure_4_story.html">The Apple, the Bet, and the Book</a></strong>
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<p>A falling object seems simple—until you look closely at how its speed actually changes. The deeper you look, the more structure you find. Galileo’s genius was to see that the way things speed up and slow down is connected to the shape of their motion. By connecting height, velocity, and acceleration, he laid the groundwork for calculus — showing how everything fits together in a beautiful way.
</p>
</ul>
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<h2> 🎥 2) Watch the Video</h2>
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<p>
Motion in a Straight Line: Crash Course Physics #1 <strong><a href="https://www.youtube.com/watch?v=ZM8ECpBuQYE">Open:paradox of the derivative |Motion in a Straight Line</a></strong>
</p>
<p>
In this video, you’ll explore how motion can be described using position (distance), velocity, and acceleration. You’ll see how these ideas are connected and how motion can be broken into simple, understandable pieces. As you watch, focus on how each quantity changes and how they relate to one another.
</p>
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<h2>✏️ 3) Do the Adventure Activity</h2>
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<ul>
<li>✏️ <strong><a href="adventure_4.html">Open: Adventure 4 — Activity</a></strong></li>
<p>Use the charts to connect height, velocity, and acceleration — and discover why calculus is really “slope + area”. Track falling motion and uncover the pattern behind it.</p>
</ul>
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