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Take the quiz when you are ready to test yourself: https://1drv.ms/w/c/2713457aa143ce7f/... Distance–Time & Velocity–Time Graphs | Interpreting Motion, Slope, Area, Instantaneous Velocity. In this lesson from the MathSupport channel, @mathsupportnow, we explore how to interpret motion graphs — both distance–time (d–t) and velocity–time (v–t) — to understand how objects move. You’ll learn how slope, curvature, and area under the graph reveal velocity, acceleration, displacement, and instantaneous motion. This is a core skill in Physics 11 and Science 10, and this video breaks it down with clarity and step‑by‑step examples. What You’ll Learn in This Video: ✅ Distance–Time (d–t) Graphs Vertical axis = distance/displacement Horizontal axis = time Slope = velocity (rise/run = Δd/Δt) Straight line → constant velocity Curved line → changing velocity Increasing slope → speeding up Decreasing slope → slowing down How tangent lines show instantaneous velocity on curved graphs ✅ Velocity–Time (v–t) Graphs Vertical axis = velocity (m/s) Horizontal axis = time (s) Slope = acceleration Horizontal line → zero acceleration (constant velocity) Positive slope → speeding up Negative slope → slowing down Area under the curve = displacement (rectangle, triangle, or combination) ✅ Worked Examples Using slope to find velocity on a d–t graph Using tangent lines to find instantaneous velocity Using area under a v–t graph to find displacement Finding acceleration from slope in multiple time intervals Interpreting positive, zero, and negative acceleration from graph shape 00:00 – Introduction: Interpreting motion from graphs 00:17 – Review of distance–time graphs 00:40 – Slope = velocity (Δd/Δt) 01:06 – Straight vs curved graphs 02:11 – Curvature and changing velocity 03:18 – Tangent lines & instantaneous velocity 05:53 – Introduction to velocity–time graphs 06:24 – Constant velocity & zero acceleration 07:18 – Using v = d/t to find displacement 08:34 – Area under v–t graph = displacement 09:43 – Example: acceleration from slope 11:15 – Positive, zero, and negative acceleration 13:19 – Final summary & quiz reminder This video is ideal for: 🎯 Science 10 🎯 Physics 11 (Kinematics Unit) 🎯 AP Physics 1 Foundations 🎯 Students preparing for quizzes, tests, or final exams 🎯 Teachers and tutors needing clean graph‑based explanations 👍 Like if this helped you 🔔 Subscribe for more physics tutorials 💬 Comment with your questions or requests 📤 Share with classmates or study groups Video lessons to review: • Finding Slope & Y‑Intercept | the Slope‑In... • Graph a Line using Slope and a Point | Lin... #Kinematics #DistanceTimeGraph #VelocityTimeGraph #Physics11 #Science10 #MotionGraphs #Mathsupport #InstantaneousVelocity