Year 10 - Science
Calculating from 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 take readings from displacement-time graphs to find distance, displacement, speed and velocity.
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-time graph: A displacement-time graph shows the change in displacement over a time period. The displacement along a straight line can be positive or negative.
- gradient: The gradient on a displacement-time graph gives the instantaneous velocity.
- instantaneous velocity: The instantaneous velocity is the velocity of an object at a particular moment in time.
Common Mistakes To Avoid
- A pair of coordinates on a s-t graph can be used to calculate the instantaneous speed or velocity at that point, but that only works for a straight line graph through the origin.
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-time graph'
A displacement-time graph shows the change in displacement over a time period. The displacement along a straight line can be positive or negative. Include the word in a full scientific explanation, not as a single label.
3. Correct this common scientific misunderstanding.
Mistake: A pair of coordinates on a s-t graph can be used to calculate the instantaneous speed or velocity at that point, but that only works for a straight line graph through the origin. Correction: Ask pupils to calculate the velocity of a graph that represents a steady velocity on a line that does not go through the origin, and to check to see if dividing the values at any point on the line gives the right value for velocity.
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: 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 on displacement-time graphs (v = x ÷ 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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