Year 10 - Science
Motion calculations: including complex ones (a=Δv/t, v²−u²=2as & v=s/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 choose and use different equations to calculate different motions.
Key Notes
- Average velocity = distance travelled ÷ time
- Average acceleration = change in velocity ÷ time
- Average velocity = (initial velocity + final velocity) ÷ 2
- Combining equations for average acceleration and average velocity leads to the equation v² – u² = 2 as
- Different motion equations can be used to analyse motion based on information provided.
Vocabulary To Learn
- initial velocity: The initial velocity of an object is the velocity it starts with during a phase of motion.
- final velocity: The final velocity of an object is the velocity it finishes with after a phase of motion.
- average velocity: The average velocity of an object travelling in a straight line is the change in distance divided by the time taken.
- average acceleration: The average acceleration of an object is the change in velocity divided by the time taken.
- uniform acceleration: When the acceleration is constant, it is described as uniform acceleration.
Common Mistakes To Avoid
- Pupils often apply equations incorrectly or do not spot obvious errors when using them due to not thinking about the science.
3 Quick Questions (With Answers)
1. Explain the scientific idea in this lesson using two key points.
Average velocity = distance travelled ÷ time. Average acceleration = change in velocity ÷ time.
2. Define this scientific word and use it in context. 'initial velocity'
The initial velocity of an object is the velocity it starts with during a phase of motion. Include the word in a full scientific explanation, not as a single label.
3. Correct this common scientific misunderstanding.
Mistake: Pupils often apply equations incorrectly or do not spot obvious errors when using them due to not thinking about the science. Correction: Ask pupils to describe what happens for each example in relation to their answers to problems set.
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
- 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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