Скачать или смотреть Understanding s vs t² Graph | Why the Slope Equals Half the Acceleration | Motion Physics Explained

In this lesson, we explore one of the most important graphical relationships in Kinematics — the distance–time squared (s vs t²) graph — and explain why its slope equals half the acceleration (a/2).

We start with the core equation of motion:

s = ut + ½at²

and show that for a body starting from rest (u = 0),

s ∝ t²

meaning that when you plot s against t², the line is perfectly straight, and its slope gives ½a.

You’ll learn:
✅ How to derive acceleration graphically
✅ Why the s–t² relationship is linear for uniform acceleration
✅ The physical meaning of the slope in motion graphs
✅ How to connect graphical analysis with equations of motion

This is an essential concept in understanding kinematics, graph interpretation, and motion analysis in physics.

🎯 Perfect for:

Students studying A-Level, GCSE, IB, AP, or College Physics

Learners preparing for JAMB, WAEC, NECO, IJMB, and other global exams

Anyone who wants to truly understand motion graphs and their real-world meaning

🎥 Taught by iExamprep — Prep Smarter. Achieve Greater.

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