Motion calculations (a=Δv/t, v²−u²=2as & v=s/t)
I can choose and use different equations to calculate different motions.
- Year 10•
- AQA
Motion calculations (a=Δv/t, v²−u²=2as & v=s/t)
I can choose and use different equations to calculate different motions.
Lesson details
Key learning points
- 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 = 2as
- Different motion equations can be used to analyse motion based on information provided.
Keywords
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 misconception
Pupils often apply equations incorrectly or do not spot obvious errors when using them due to not thinking about the science.
Ask pupils to describe what happens for each example in relation to their answers to problems set.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Match the quantity to the correct example measurement of it.
distance - 400 m
speed - 80 m/s
acceleration - 20 m/s²
Q2.Which of the following statements about motion graphs are correct?
Q3.A jogger travels at an average speed of 4.0 m/s.
Calculate the time it will take them to travel 1 km.
Q4.A jet travels a distance of 9000 m in 1 minute.
Calculate the speed of the jet in m/s.
Q5.A firework rocket is launched from rest and reaches a speed of 20 m/s in 0.25 s.
Calculate the acceleration of the rocket.
Q6.An oil tanker increases its velocity from 0.5 m/s to 6.5 m/s in a time of 120 s.
Calculate the acceleration of the oil tanker.
Assessment exit quiz
6 Questions
Q1.Match the key words or phrases to their definitions.
initial velocity, $$u$$ - the velocity of an object at the start of a time period
final velocity, $$v$$ - the velocity of an object at the end of a time period
average velocity - the rate of change of displacement over a time period
average acceleration - the rate of change of velocity over a time period
$$Δv$$ - the change in velocity
Q2.Which of these shows the correct relationship between initial velocity $$u$$, final velocity $$v$$, acceleration $$a$$ and distance $$s$$?
Q3.A race car increases its velocity from 12 m/s to 48 m/s in a time of 6.0 s.
Calculate the acceleration of race car.
Q4.A motorcycle slows with a deceleration of –5.0 m/s² from 25 m/s to a stop.
Calculate the distance the motorcycle takes to come to a stop.
Q5.An aeroplane starting from rest needs to reach a take–off velocity of 60 m/s to take off from a runway of length 1500 m.
Calculate the minimum acceleration the airplane will need.
Q6.A rocket is stationary on the moon. It launches vertically with a constant acceleration of 5.0 m/s².
Calculate its vertical speed when it has reached a height of 1.96 km.
