This presentation is for my class to work through as teachers are on a series of PD days. It is based on a very bad One Direction joke cracked in a class about vectors.
Acceleration and Equations of Motion(1st)Talal Khan
Chapter 03Kinematics of Linear Motion(Acceleration and Equations of Motion)Lec-12
Learning Objectives
Review
Velocity and Acceleration
Review Problems
1st Equation of motion
Home Task
VelocityVelocity is displacement covered in any time ORVelocity is speed and direction. SI unit m/s(푽_풂풗 ) ⃗=푺 ⃗/풕
Types of Velocity1.Uniform Velocity. Displacement does not change with time.2. Variable VelocityDisplacement changes with time
AccelerationChange in velocity of a body in some time is called Acceleration. SI unit m/s2 푽_풇−푽_풊=(∆푽) ⃗푪풉풂풏품풆 풊풏 풗풆풍풐풄풊풕풚 풊풏 풖풏풊풕 풕풊풎풆=(∆푽) ⃗/∆풕 풂 ⃗= (∆푽) ⃗/∆풕
AccelerationAcceleration can be positive and negative based on velocity.If the velocity of body is increasing, it will posses Acceleration.If the velocity of body is decreasing, it will undergo deceleration or retardation.
Similar Problems. (Do it yourself)Example(P.38). A car is moving with uniform acceleration and attains the velocity of 72 Km11-1 in 5 min. Find acceleration of the car. Problem(3.2) A person hears the echo of his own sound from a distant hill after 2 seconds. How far away is the person from the hill, if the speed of sound is 330 ms-1Problem(3.3) Find the acceleration of a body whose velocity increases from 11ms-1 to 33 ms-1 in 10 seconds.Problem (3.3) A car moving with a velocity of 36 kmh-1 is brought to rest in 5 seconds; calculate its deceleration.
Equations of Motion.First Equation of MotionSuppose a body is moving with initial velocity vi and.is under going uniform acceleration "a" for a time "t" such that its final velocity becomes vf.Change in velocity of the body in time t = vf - viTherefore change in velocity in unit time = "vf − vi" /푡As change in velocity in unit time (i.e. the rate of change velocity) is called acceleration.
Equations of Motion.First Equation of MotionTherefore a= "vf − vi" /푡vf - vi = at∴ vf = vi - at ------ (1)This is called First Equation of Motion
Home Task
Write the Definitions of velocity, acceleration, their formula and probelems.
Thank You For Your Cooperation
You can find this presentation on Slideshare.com “Acceleration and Equation of Motion”
Acceleration and Equations of Motion(1st)Talal Khan
Chapter 03Kinematics of Linear Motion(Acceleration and Equations of Motion)Lec-12
Learning Objectives
Review
Velocity and Acceleration
Review Problems
1st Equation of motion
Home Task
VelocityVelocity is displacement covered in any time ORVelocity is speed and direction. SI unit m/s(푽_풂풗 ) ⃗=푺 ⃗/풕
Types of Velocity1.Uniform Velocity. Displacement does not change with time.2. Variable VelocityDisplacement changes with time
AccelerationChange in velocity of a body in some time is called Acceleration. SI unit m/s2 푽_풇−푽_풊=(∆푽) ⃗푪풉풂풏품풆 풊풏 풗풆풍풐풄풊풕풚 풊풏 풖풏풊풕 풕풊풎풆=(∆푽) ⃗/∆풕 풂 ⃗= (∆푽) ⃗/∆풕
AccelerationAcceleration can be positive and negative based on velocity.If the velocity of body is increasing, it will posses Acceleration.If the velocity of body is decreasing, it will undergo deceleration or retardation.
Similar Problems. (Do it yourself)Example(P.38). A car is moving with uniform acceleration and attains the velocity of 72 Km11-1 in 5 min. Find acceleration of the car. Problem(3.2) A person hears the echo of his own sound from a distant hill after 2 seconds. How far away is the person from the hill, if the speed of sound is 330 ms-1Problem(3.3) Find the acceleration of a body whose velocity increases from 11ms-1 to 33 ms-1 in 10 seconds.Problem (3.3) A car moving with a velocity of 36 kmh-1 is brought to rest in 5 seconds; calculate its deceleration.
Equations of Motion.First Equation of MotionSuppose a body is moving with initial velocity vi and.is under going uniform acceleration "a" for a time "t" such that its final velocity becomes vf.Change in velocity of the body in time t = vf - viTherefore change in velocity in unit time = "vf − vi" /푡As change in velocity in unit time (i.e. the rate of change velocity) is called acceleration.
Equations of Motion.First Equation of MotionTherefore a= "vf − vi" /푡vf - vi = at∴ vf = vi - at ------ (1)This is called First Equation of Motion
Home Task
Write the Definitions of velocity, acceleration, their formula and probelems.
Thank You For Your Cooperation
You can find this presentation on Slideshare.com “Acceleration and Equation of Motion”
In this formative in-class Criterion C task, we connect the content from the last unit with some basics on Forces, using the Red Bull Stratos jump as a basis.
You will know how much you know about this British/Ireland band call One Direction..
you know very well about them
or you have to know the boys very well
In this formative in-class Criterion C task, we connect the content from the last unit with some basics on Forces, using the Red Bull Stratos jump as a basis.
You will know how much you know about this British/Ireland band call One Direction..
you know very well about them
or you have to know the boys very well
How International Is Our School? MA DissertationStephen Taylor
Title: A pilot-test of a visualization and set of evaluation rubrics for factors affecting the promotion of international-mindedness and global engagement (IMaGE) of a school.
Defining Inquiry for the PreK-12 continuum. Inquiry as a 'theory of everything' of good education, built on a solid foundation of well-taught knowledge, skills and concepts.
This is an assignment for my University of Bath MA in International Education, based on the tensions in transition from MYP to DP. It revolved around the different schools of through about learning and, most importantly, inquiry. It focuses on the different approaches to inquiry characterised by Dewey and Vygotsky, before moving onto a modern look at evidence-based practices.
MA International Education University of Bath assignment (Education in and International Context).
In this assignment I have tried to propose an original idea for helping schools define and measure the degree to which they demonstrate the values of international education.
I use this lab sequence over a couple of lessons to get to grips with some basics of different types of reactions, balancing, writing formulas and problem-solving.
I split the presentation for the unit into two, as I added so many slides to help with student questions and misconceptions. This one focuses on mathematical aspects of the unit.
In the first week of High School, my Grade 9 Chemistry class were asked to put on a short show for the BBP and KA students (3-5 year-olds) about water. We used it as a chance to get to know each other and to formatively assess Criterion B: Communication and F: Attitudes in Science.
UiPath Test Automation using UiPath Test Suite series, part 3DianaGray10
Welcome to UiPath Test Automation using UiPath Test Suite series part 3. In this session, we will cover desktop automation along with UI automation.
Topics covered:
UI automation Introduction,
UI automation Sample
Desktop automation flow
Pradeep Chinnala, Senior Consultant Automation Developer @WonderBotz and UiPath MVP
Deepak Rai, Automation Practice Lead, Boundaryless Group and UiPath MVP
LF Energy Webinar: Electrical Grid Modelling and Simulation Through PowSyBl -...DanBrown980551
Do you want to learn how to model and simulate an electrical network from scratch in under an hour?
Then welcome to this PowSyBl workshop, hosted by Rte, the French Transmission System Operator (TSO)!
During the webinar, you will discover the PowSyBl ecosystem as well as handle and study an electrical network through an interactive Python notebook.
PowSyBl is an open source project hosted by LF Energy, which offers a comprehensive set of features for electrical grid modelling and simulation. Among other advanced features, PowSyBl provides:
- A fully editable and extendable library for grid component modelling;
- Visualization tools to display your network;
- Grid simulation tools, such as power flows, security analyses (with or without remedial actions) and sensitivity analyses;
The framework is mostly written in Java, with a Python binding so that Python developers can access PowSyBl functionalities as well.
What you will learn during the webinar:
- For beginners: discover PowSyBl's functionalities through a quick general presentation and the notebook, without needing any expert coding skills;
- For advanced developers: master the skills to efficiently apply PowSyBl functionalities to your real-world scenarios.
State of ICS and IoT Cyber Threat Landscape Report 2024 previewPrayukth K V
The IoT and OT threat landscape report has been prepared by the Threat Research Team at Sectrio using data from Sectrio, cyber threat intelligence farming facilities spread across over 85 cities around the world. In addition, Sectrio also runs AI-based advanced threat and payload engagement facilities that serve as sinks to attract and engage sophisticated threat actors, and newer malware including new variants and latent threats that are at an earlier stage of development.
The latest edition of the OT/ICS and IoT security Threat Landscape Report 2024 also covers:
State of global ICS asset and network exposure
Sectoral targets and attacks as well as the cost of ransom
Global APT activity, AI usage, actor and tactic profiles, and implications
Rise in volumes of AI-powered cyberattacks
Major cyber events in 2024
Malware and malicious payload trends
Cyberattack types and targets
Vulnerability exploit attempts on CVEs
Attacks on counties – USA
Expansion of bot farms – how, where, and why
In-depth analysis of the cyber threat landscape across North America, South America, Europe, APAC, and the Middle East
Why are attacks on smart factories rising?
Cyber risk predictions
Axis of attacks – Europe
Systemic attacks in the Middle East
Download the full report from here:
https://sectrio.com/resources/ot-threat-landscape-reports/sectrio-releases-ot-ics-and-iot-security-threat-landscape-report-2024/
GDG Cloud Southlake #33: Boule & Rebala: Effective AppSec in SDLC using Deplo...James Anderson
Effective Application Security in Software Delivery lifecycle using Deployment Firewall and DBOM
The modern software delivery process (or the CI/CD process) includes many tools, distributed teams, open-source code, and cloud platforms. Constant focus on speed to release software to market, along with the traditional slow and manual security checks has caused gaps in continuous security as an important piece in the software supply chain. Today organizations feel more susceptible to external and internal cyber threats due to the vast attack surface in their applications supply chain and the lack of end-to-end governance and risk management.
The software team must secure its software delivery process to avoid vulnerability and security breaches. This needs to be achieved with existing tool chains and without extensive rework of the delivery processes. This talk will present strategies and techniques for providing visibility into the true risk of the existing vulnerabilities, preventing the introduction of security issues in the software, resolving vulnerabilities in production environments quickly, and capturing the deployment bill of materials (DBOM).
Speakers:
Bob Boule
Robert Boule is a technology enthusiast with PASSION for technology and making things work along with a knack for helping others understand how things work. He comes with around 20 years of solution engineering experience in application security, software continuous delivery, and SaaS platforms. He is known for his dynamic presentations in CI/CD and application security integrated in software delivery lifecycle.
Gopinath Rebala
Gopinath Rebala is the CTO of OpsMx, where he has overall responsibility for the machine learning and data processing architectures for Secure Software Delivery. Gopi also has a strong connection with our customers, leading design and architecture for strategic implementations. Gopi is a frequent speaker and well-known leader in continuous delivery and integrating security into software delivery.
DevOps and Testing slides at DASA ConnectKari Kakkonen
My and Rik Marselis slides at 30.5.2024 DASA Connect conference. We discuss about what is testing, then what is agile testing and finally what is Testing in DevOps. Finally we had lovely workshop with the participants trying to find out different ways to think about quality and testing in different parts of the DevOps infinity loop.
Neuro-symbolic is not enough, we need neuro-*semantic*Frank van Harmelen
Neuro-symbolic (NeSy) AI is on the rise. However, simply machine learning on just any symbolic structure is not sufficient to really harvest the gains of NeSy. These will only be gained when the symbolic structures have an actual semantics. I give an operational definition of semantics as “predictable inference”.
All of this illustrated with link prediction over knowledge graphs, but the argument is general.
Transcript: Selling digital books in 2024: Insights from industry leaders - T...BookNet Canada
The publishing industry has been selling digital audiobooks and ebooks for over a decade and has found its groove. What’s changed? What has stayed the same? Where do we go from here? Join a group of leading sales peers from across the industry for a conversation about the lessons learned since the popularization of digital books, best practices, digital book supply chain management, and more.
Link to video recording: https://bnctechforum.ca/sessions/selling-digital-books-in-2024-insights-from-industry-leaders/
Presented by BookNet Canada on May 28, 2024, with support from the Department of Canadian Heritage.
Accelerate your Kubernetes clusters with Varnish CachingThijs Feryn
A presentation about the usage and availability of Varnish on Kubernetes. This talk explores the capabilities of Varnish caching and shows how to use the Varnish Helm chart to deploy it to Kubernetes.
This presentation was delivered at K8SUG Singapore. See https://feryn.eu/presentations/accelerate-your-kubernetes-clusters-with-varnish-caching-k8sug-singapore-28-2024 for more details.
2. Scalars vs Vectors
Non-directional quantities Quantities with direction
Distance Displacement
How far an object travels along a path Position of an object in reference to an
origin or previous position
Speed Velocity
Rate of change of the position of an Rate of change of the position of an object
object, e.g. 20m/s in a given direction, e.g. 20m/s East
“per unit time”
Δd
Average speed or velocity
v= Δt Change in distance
or displacement
Change in time
More scalars: More vectors:
Time Acceleration
Energy Force
Mass Electric field
Volume
3. This is a displacement-time graph for the One-Direction tour bus.
• Did they really go in one direction? How do you know?
• Calculate their velocity at 2s
• State their velocity at 4s.
• Calculate their velocity at 6.5s
• Calculate their average velocity (over the whole journey)
Displacement-time graph for the One Direction tour bus.
displacement (m)
20
10
time (seconds)
4. This is a displacement-time graph for the One-Direction tour bus.
• Did they really go in one direction? How do you know?
• Calculate their velocity at 2s
• State their velocity at 4s.
• Calculate their velocity at 6.5s
• Calculate their average velocity (over the whole journey)
Displacement-time graph for the One Direction tour bus.
displacement (m)
20
10
time (seconds)
5. This is a displacement-time graph for the One-Direction tour bus.
• Did they really go in one direction? How do you know?
• Calculate their velocity at 2s
• State their velocity at 4s.
• Calculate their velocity at 6.5s
• Calculate their average velocity (over the whole journey)
Displacement-time graph for the One Direction tour bus.
movement back towards origin
displacement (m)
20 (negative displacement)
movement away from origin
(positive displacement)
Remember: Velocity is a vector (it has magnitude and direction).
10
time (seconds)
6. This is a displacement-time graph for the One-Direction tour bus.
• Did they really go in one direction? How do you know?
• Calculate their velocity at 2s
• State their velocity at 4s.
• Calculate their velocity at 6.5s
• Calculate their average velocity (over the whole journey)
Displacement-time graph for the One Direction tour bus.
displacement (m)
20
10
time (seconds)
7. This is a displacement-time graph for the One-Direction tour bus.
• Did they really go in one direction? How do you know?
• Calculate their velocity at 2s
• State their velocity at 4s.
• Calculate their velocity at 6.5s
• Calculate their average velocity (over the whole journey)
Displacement-time graph for the One Direction tour bus.
25m
constant motion, so we can
easily find Δd and Δt.
displacement (m)
20
Δd 15m 15m/s
10 v= Δt
= 1s =
(away)
velocity is a vector, so you
must include the direction!
1 second time (seconds)
8. This is a displacement-time graph for the One-Direction tour bus.
• Did they really go in one direction? How do you know?
• Calculate their velocity at 2s
• State their velocity at 4s.
• Calculate their velocity at 6.5s
• Calculate their average velocity (over the whole journey)
Displacement-time graph for the One Direction tour bus.
displacement (m)
20
10
time (seconds)
9. This is a displacement-time graph for the One-Direction tour bus.
• Did they really go in one direction? How do you know?
• Calculate their velocity at 2s
• State their velocity at 4s.
• Calculate their velocity at 6.5s
• Calculate their average velocity (over the whole journey)
Displacement-time graph for the One Direction tour bus.
No change in displacement over time
displacement (m)
20 RESTING
therefore:
v = 0m/s
10
time (seconds)
10. This is a displacement-time graph for the One-Direction tour bus.
• Did they really go in one direction? How do you know?
• Calculate their velocity at 2s
• State their velocity at 4s.
• Calculate their velocity at 6.5s
• Calculate their average velocity (over the whole journey)
Displacement-time graph for the One Direction tour bus.
displacement (m)
20
10
time (seconds)
11. This is a displacement-time graph for the One-Direction tour bus.
• Did they really go in one direction? How do you know?
• Calculate their velocity at 2s
• State their velocity at 4s.
• Calculate their velocity at 6.5s
• Calculate their average velocity (over the whole journey)
Displacement-time graph for the One Direction tour bus.
constant motion, so we can
easily find Δd and Δt.
displacement (m)
20
Note: this time they’re
moving closer to the sensor.
Velocity will be negative.
10
time (seconds)
12. This is a displacement-time graph for the One-Direction tour bus.
• Did they really go in one direction? How do you know?
• Calculate their velocity at 2s
• State their velocity at 4s.
• Calculate their velocity at 6.5s
• Calculate their average velocity (over the whole journey)
Displacement-time graph for the One Direction tour bus.
25m
displacement (m)
20
Δd -5m -10m/s
10
v= Δt
= 0.5s = (or 10m/s towards)
we’d determined that
movement away was positive
time (seconds) 0.5s
13. This is a displacement-time graph for the One-Direction tour bus.
• Did they really go in one direction? How do you know?
• Calculate their velocity at 2s
• State their velocity at 4s.
• Calculate their velocity at 6.5s
• Calculate their average velocity (over the whole journey)
Displacement-time graph for the One Direction tour bus.
displacement (m)
20
10
time (seconds)
14. This is a displacement-time graph for the One-Direction tour bus.
• Did they really go in one direction? How do you know?
• Calculate their velocity at 2s
• State their velocity at 4s.
• Calculate their velocity at 6.5s
• Calculate their average velocity (over the whole journey)
Displacement-time graph for the One Direction tour bus.
20
17.5m
displacement (m)
10
Δd 7.5m
v= Δt
= 10s =0.75m/s (away)
time (seconds)
15. Velocity and Vectors Δd
v=
Velocity is a vector – it has direction. Δt
We can use velocity vector diagrams to describe motion.
The lengths of the arrows are magnitude – a longer arrow means +
greater velocity and are to scale. The dots represent the object at
consistent points in time. The direction of the arrow is important.
Describe the motion in these velocity vector diagrams:
origin Positive velocity, increasing velocity.
+ origin
origin
origin +
16. Velocity and Vectors Δd
v=
Velocity is a vector – it has direction. Δt
We can use velocity vector diagrams to describe motion.
The lengths of the arrows are magnitude – a longer arrow means +
greater velocity and are to scale. The dots represent the object at
Positive velocity, decreasing velocity.
Negative velocity, increasing velocity.
consistent points in time. The direction of the arrow is important.
Describe the motion in these velocity vector diagrams:
origin Positive velocity, increasing velocity. +
+ Negative velocity, increasing velocity. origin
origin
Object moves quickly
away from
origin Positive velocity, decreasing velocity. +
origin, slows, turns and
speeds up on return to
origin.
17. The birds are angry that the pigs destroyed their
Velocity and Vectors nests – but luckily they have spotted a new nesting
site. However, short-winged and poorly adapted to
flight, they need to use a slingshot to get there.
Draw velocity vectors for each position of the angry bird to show its relative instantaneous
velocity. Use the first vector as a guide.
The flight takes 2.3s. Calculate:
• vertical displacement of the bird.
• average velocity (up) of the bird.
• average velocity (right) of the bird.
• average overall velocity
(include direction
and magnitude)
1.6m
55cm
7.5 m
18. Velocity and Vectors
Draw velocity vectors for each position of the angry bird to show
its relative instantaneous velocity. Use the first vector as a guide.
19. Velocity and Vectors
Draw velocity vectors for each position of the angry bird to show
its relative instantaneous velocity. Use the first vector as a guide.
Remember that velocity vectors represent velocity – not
distance. So it doesn’t matter if there is an object in the way
– the velocity is the same until the moment of impact.
20. Velocity and Vectors One Direction got some new toys.
They couldn’t point them in the same direction.
Draw velocity vector diagrams for each of these karts.
10km/h 16km/h 8km/h 20km/h
Use the known vector as the scale.
21. Velocity and Vectors One Direction got some new toys.
They couldn’t point them in the same direction.
Draw velocity vector diagrams for each of these karts.
10km/h 16km/h 8km/h 20km/h
Use the known vector as the scale.
22. One of the boys was sent to bed.
Three of the others had a kart race:
origin 30 60 90 120 150 180
Which karts are experiencing acceleration?
Find out here: http://www.physicsclassroom.com/mmedia/kinema/acceln.cfm
Read through the Acceleration lesson at the Physics Classroom:
Sketch distance – time graphs for
each car (on the same axes) Distance
What do the shapes of the lines
tell us about the cars’ motion?
Time
24. If the tour bus keeps going at the same speed in One Direction:
• They have constant velocity
• They are not accelerating
Δd
v= Δt Change in distance
or displacement
Change in time
If the tour bus is at rest, they have:
• zero velocity
• and zero acceleration
Acceleration is a vector: it has magnitude and direction.
25. Acceleration is a vector: it has magnitude and direction.
We usually think of acceleration as
• ‘speeding up’ These are more appropriate descriptors of
• ‘slowing down’. changes in speed than in velocity.
has direction!
Instead, think of acceleration as:
• ‘positive’ acceleration is same direction as velocity
• ‘negative’ acceleration is opposite velocity
Stop here and work through the page on acceleration at:
http://www.physicsclassroom.com/Class/1DKin/U1L1e.cfm
26. Acceleration
Change in velocity
Δv
a= Δt =
acceleration
final velocity – initial velocity (m/s)
Time (s)
Change in time
m/s/s
“Metres per second per second”
On the next pages, complete the tables and sketch
the graphs before you skip onto the solutions.
27. Acceleration
a = 3m/s/s
Time (s) Velocity
(m/s)
Velocity (ms-1)
0 0
1
2
3
0
4 0 1 2 3 4
formula Time (s)
28. Acceleration
a = 3m/s/s 12
Time (s) Velocity
(m/s)
9
Velocity (m/s)
0 0
6
1 3
2 6 3
3 9
0
4 12 0 1 2 3 4
formula Time (s)
29. Acceleration
a = 3m/s/s 12
Time (s) Velocity
(m/s)
9
Velocity (m/s)
0 0
6
1 3
2 6 3
3 9
0
4 12 0 1 2 3 4
Time (s)
formula v = 3t The velocity – time graph is linear as it is constant acceleration.
This means it is increasing its velocity by the same amount each
time. What would the distance – time graph look like?
30. Acceleration
a = 3m/s/s 12
A car accelerates at a constant rate of 3m/s/s.
Time (s) Velocity Calculate its instantaneous velocity at 7.5s:
9 a. in m/s
(m/s)
Velocity (ms-1)
0 0
6 b. in km/h
1 3
2 6 3
Calculate the time taken to reach its
3 9 maximum velocity of 216km/h.
0
4 12 0 1 2 3 4
formula v = 3t Time (s)
31. Acceleration
a = 3m/s/s 12
Time (s) Velocity Displace-
(m/s) ment (m) 30
9
0
Velocity (m/s)
Displacement (m)
1 6 18
2
3 9
3
3
4 0
0 1 2 3 4
Time (s)
formula
Determine the velocity and displacement of the object each second.
Plot the results on the graph.
Compare the shapes of the two graphs.
32. Acceleration
a = 3m/s/s 12
Time (s) Velocity Displace-
(m/s) ment (m) 30
9
0 0
Velocity (m/s)
Displacement (m)
1 3 6 18
2 6
3 9
3 9
3
4 12 0
0 1 2 3 4
Time (s)
formula v = 3t
The displacement – time graph is curved as it is constant
acceleration – the rate of change of displacement increases.
This means it is increasing its velocity by the same amount each time.
33. Acceleration
a = 3m/s/s 12
Time (s) Velocity Displace-
(m/s) ment (m) 30
9
0 0 0
Velocity (m/s)
Displacement (m)
1 3 3 6 18
2 6 9
3 9
3 9 18
3
4 12 30 0
0 1 2 3 4
Time (s)
formula v = 3t
The displacement – time graph is curved as it is constant acceleration
– the rate of change of displacement increases.
This means it is increasing its velocity by the same amount each time.
34. Acceleration
a = -2m/s/s
Time (s) Velocity
(ms-1)
Velocity (m/s)
0 10
1
2
3
0
4 0 1 2 3 4
Time (s)
formula
35. Acceleration
a = -2m/s/s
Time (s) Velocity
(ms-1)
Velocity (m/s)
0 10
1 8
2 6
3 4
0
4 2 0 1 2 3 4
Time (s)
formula
36. Acceleration In this example, acceleration is constant.
Determine the acceleration, plot the velocity
over time and deduce the formula.
a = ___m/s/s
Velocity (m/s)
Time (s) Velocity Explain: what does this tell us about
(ms-1) acceleration?
0 6
1 3.5
2
0
3 0 1 Time (s) 2 3 4
4
formula
37. Acceleration
a = 2km/h/s
Time (s) Velocity
(kmh-1)
Velocity (km/h)
0 10
1
2
3
0
4 0 1 2 3 4
Time (s)
formula
38. Acceleration
a = 2km/h/s 18
Time (s) Velocity
(kmh-1)
Velocity (km/h)
0 10
1
10
2
3
4 0
0 1 2 3 4
formula Time (s)
39. Describe the journey of the One Direction tour bus.
20
D E
velocity (m/s)
C
10 B F
A
1 2 3 4 5 6 7 8 9 10
time (s)
Just as velocity is the rate of change of
position of an object, acceleration is the
rate of change in velocity.
You can use the same methods to
calculate acceleration from a graph.
40. Negative acceleration is opposite to velocity.
The tour bus is headed for a cliff!
• What is the velocity of the bus after 3s?
• Does it stop in time?
v = 20m/s vector diagrams can be used (to scale) to
a = -2m/s/s represent velocity and acceleration.
100m
41. Negative acceleration is opposite to velocity.
The tour bus is headed for a cliff!
• What is the velocity of the bus after 3s?
• Does it stop in time?
v = 20m/s The bus starts at 20m/s and accelerates at -
a = -2m/s/s 2m/s/s.
• After 1s it is going at 18m/s
100m • After 2s is is going at 16m/s
• After 3s it is going at 14m/s.
What is the formula?
42. Negative acceleration is opposite to velocity.
The tour bus is headed for a cliff!
• What is the velocity of the bus after 3s?
• Does it stop in time?
v = 20m/s The bus starts at 20m/s and accelerates at -
a = -2m/s/s 2m/s/s.
• After 1s it is going at 18m/s
100m • After 2s is is going at 16m/s
• After 3s it is going at 14m/s.
What is the formula?
v = 20 – 2t
43. Negative acceleration is opposite to velocity.
The tour bus is headed for a cliff!
• What is the velocity of the bus after 3s?
• Does it stop in time?
v = 20 – 2t
t (s) v (m/s) d (cumulative, m)
v = 20m/s
a = -2m/s/s 0 20 0
100m 1 18 20
2 38
3
4
5
6
7
8
44. Negative acceleration is opposite to velocity.
The tour bus is headed for a cliff!
• What is the velocity of the bus after 3s?
• Does it stop in time?
v = 20 – 2t
t (s) v (m/s) d (cumulative, m)
v = 20m/s
a = -2m/s/s 0 20 0
100m 1 18 20
2 16 38
3 14 54
4 12 68
5 10 80
6 8 90
7 6 98
8 4 102!
45. Acceleration due to gravity is 9.8m/s/s (downwards).
Luckily the boys jump clear as the bus goes over the cliff.
What is the velocity of the bus after:
• 2s?
• 5s?
a = 9.8m/s/s
Find out: what is terminal velocity?
47. Acceleration is a vector: it has magnitude and direction.
Did someone say New Directions?
Any change in direction is a change in
velocity and is therefore an acceleration.
48. Acceleration is a vector: it has magnitude and direction.
Did someone say New Directions?
Any change in direction is a change in
velocity and is therefore an acceleration.
How is it possible for an object
moving at constant speed to
experience acceleration, but not an
object moving at constant velocity?
49. How is it possible for an object moving at constant speed to
experience acceleration, but not an object moving at
constant velocity?
Image: Moon from northern hemisphere: http://en.wikipedia.org/wiki/Moon
50. Challenge Question:
How far did the One Direction tour bus travel in 10 seconds?
20
velocity (m/s)
10
1 2 3 4 5 6 7 8 9 10
time (s)
52. Exit Ticket Take one minute to answer all three.
I got it!
•
I don’t get it!
•
One of your own
•
53. That’s what makes
Physics beautiful!
THE ONE DIRECTION TOUR BUS
Images adapted from http://www.fanpop.com/spots/one-direction/images/28558025/title & http://goo.gl/zJnql
54. TOUR BUS
NEW DIRECTIONS
Images adapted from http://newspaper.li/new-directions/& http://www.vectis.co.uk/
55.
56. For more resources.
Please consider a donation to charity via Biology4Good.
Click here for more information about Biology4Good charity donations.
This is a Creative Commons presentation. It may be linked and embedded but not sold or re-hosted.