Year 10 - Science
Velocity on displacement-time graphs (v = x ÷ t)
Measuring and calculating motion
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
This unit covers vector-scalar distinctions in displacement, distance, velocity, and speed. It explores speeds, acceleration, motion graphs, and formulas for uniform and non-uniform motion. It also includes understanding circular motion and conducting accurate measurements, and calculations.
Lesson Summary
You will learn to sketch accurate displacement-time graphs of different motions.
Key Notes
- The velocity of an object is equal to the gradient of a displacement-time graph.
- A direction in which velocity and displacement are measured needs to be chosen.
- A negative gradient on a displacement-time graph (sloping downwards) represents velocity in the opposite direction.
- A negative value for displacement represents a position 'behind' the starting position.
Vocabulary To Learn
- displacement: The displacement of an object is the distance and direction from a specific point. Displacement is a vector.
- displacement-time graph: A displacement-time graph shows the displacement of an object over a period of time.
- motion sensor: A motion sensor measures the distance between itself and an object. We can use the measurements to calculate and plot graphs of displacement, velocity and acceleration.
Common Mistakes To Avoid
- Negative values on a displacement-time graph always represent motion that is backwards.
3 Quick Questions (With Answers)
1. Explain the scientific idea in this lesson using two key points.
The velocity of an object is equal to the gradient of a displacement-time graph. A direction in which velocity and displacement are measured needs to be chosen.
2. Define this scientific word and use it in context. 'displacement'
The displacement of an object is the distance and direction from a specific point. Displacement is a vector. Include the word in a full scientific explanation, not as a single label.
3. Correct this common scientific misunderstanding.
Mistake: Negative values on a displacement-time graph always represent motion that is backwards. Correction: Provide opportunities for pupils to plot a range of displacement-time graphs in real time in order for them to understand how the graph represents different motions.
More Lessons In This Unit
- Acceleration (a = Δv/t) Study Guide
- Acceleration (a=(v-u)/t) Study Guide
- Automated measurement of speed Study Guide
- Calculating acceleration (a = Δv/t) Study Guide
- Calculating acceleration (a=(v-u)/t) Study Guide
- Calculating from displacement-time graphs (v = s ÷ t) Study Guide
- Calculating from displacement-time graphs (v = x ÷ t) Study Guide
- Calculating from displacement-time graphs: including tangents (v = s ÷ t) Study Guide
- Calculating from displacement-time graphs: including tangents (v = x ÷ t) Study Guide
- Calculating from motion graphs (a=(v–u)/t and v=s/t) Study Guide
- Calculating from motion graphs (a=(v–u)/t and v=x/t) Study Guide
- Calculating from motion graphs (a=Δv/t and v=s/t) Study Guide
- Calculating from motion graphs: including displacement (a=(v-u)/t and v=s/t) Study Guide
- Calculating from motion graphs: including displacement (a=(v-u)/t and v=x/t) Study Guide
- Calculating from motion graphs: including displacement (a=Δv/t and v=s/t) Study Guide
- Calculating from velocity-time graphs (a = Δv/t) Study Guide
- Calculating from velocity-time graphs (a=(v-u)/t) Study Guide
- Different speeds (v=s/t) Study Guide
- Different speeds (v=x/t) Study Guide
- Displacement and velocity as vectors (v=s/t) Study Guide
- Displacement and velocity as vectors (v=x/t) Study Guide
- Displacement and velocity as vectors: including circular motion Study Guide
- Displacement and velocity as vectors: including movement around a circle Study Guide
- Measuring acceleration analysis (v = s ÷ t, a = (v – u) ÷ t) Study Guide
- Measuring acceleration analysis (v = s ÷ t, a = Δv ÷ t) Study Guide
- Measuring acceleration analysis (v = x ÷ t, a = (v – u) ÷ t) Study Guide
- Measuring acceleration practical (v=s/t, a = Δv/t) Study Guide
- Measuring acceleration practical (v=s/t, a=(v-u)/t) Study Guide
- Measuring acceleration practical (v=x/t, a=(v-u)/t) Study Guide
- Measuring instantaneous speed analysis (v=s/t) Study Guide
- Measuring instantaneous speed analysis (v=x/t) Study Guide
- Measuring instantaneous speed practical (v = s ÷ t) Study Guide
- Measuring instantaneous speed practical (v = x ÷ t) Study Guide
- Motion calculations (a=(v–u)/t, v²−u²=2as & v=s/t) Study Guide
- Motion calculations (a=(v–u)/t, v²−u²=2ax & v=x/t) Study Guide
- Motion calculations (a=Δv/t, v²−u²=2as & v=s/t) Study Guide
- Motion calculations: including complex ones (a=(v–u)/t, v²−u²=2as & v=s/t) Study Guide
- Motion calculations: including complex ones (a=(v−u)/t, v²−u²=2ax & v=x/t) Study Guide
- Motion calculations: including complex ones (a=Δv/t, v²−u²=2as & v=s/t) Study Guide
- Velocity on a graph (v = s ÷ t) Study Guide
- Velocity on a graph (v = x ÷ t) Study Guide
- Velocity on displacement-time graphs (v = s ÷ t) Study Guide
- Velocity-time graphs: acceleration and distance travelled (a = Δv/t) Study Guide
- Velocity-time graphs: acceleration and distance travelled (a=(v-u)/t) Study Guide
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