kinematics. lesson structure part 1 – instantaneous speed vs average speed – scalars vs vectors...
TRANSCRIPT
![Page 1: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/1.jpg)
Kinematics
![Page 2: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/2.jpg)
Introduction
• Kinematics is the study of moving objects• In the previous lesson you have been
introduced to physical quantities, and studied 4 of them
• In this topic, we will be investigating how 6 quantities interact with each other in moving objects:
• distance, displacement, speed, velocity, time, acceleration
![Page 3: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/3.jpg)
Speed
• Speed is the measure of how fast or how slow an object moves
• Units: ms-1, kmh-1
• Previously, you’ve learned that speed = distance / time
• Is this the only way to understand speed?
![Page 4: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/4.jpg)
![Page 5: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/5.jpg)
The fastest man on Earth
• Usain Bolt’s fastest time for the 100 m race is 9.58 s (2009 IAAF Championships in Berlin)
• What was his speed?• Speed = distance/time• 100/ 9.572 = 10.4 ms-1
• “Usain Bolt is the fastest man on Earth (ever), so it is not humanly possible to go faster than 10.4 ms-1. “
• Do you agree with this statement?
![Page 6: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/6.jpg)
The fastest man on Earth
• Look at the breakdown of Bolt’s run:
• Usain Bolt actually reached a top speed of 12.4 ms-1, faster than the 10.4 ms-1 we mentioned previously!
Time /s Speed/ms-1
0 to 20 m 2.89 6.92
20 to 40 m 1.75 11.4
40 to 60 m 1.67 12.0
60 to 80 m 1.61 12.4
80 to 100 m 1.66 12.0
Total 9.58 10.4
![Page 7: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/7.jpg)
Instanteous Speed vs Average Speed
• There are two different ways to talk about speed: instantaneous speed or average speed
• Instantanous speed is how fast an object is moving at that instant in time
• Average Speed is given by the formula• Avg Speed = Total Distance / Total Time
![Page 8: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/8.jpg)
Instanteous Speed vs Average Speed
• Traffic police catching speeding vehicles: are they interested in instantaneous speed or average speed?
• How do they measure this?• The toll booth in the Malaysian highway
charges you for speeding if you take too short a time to travel from place A to place B. Are they measuring instantaneous speed or average speed?
• How can you avoid being charged?
![Page 9: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/9.jpg)
Practice Task
![Page 10: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/10.jpg)
Distance vs Displacement• If I walked 3 metres to the front and then 6 metres
to the back:• How far have I travelled?• This is an ambigious question. There are two ways of
interpreting this question:• 1) How much total distance have I travelled?• 2) How much distance is there between my current
position and my starting position?• The first is asking for the quantity “distance”• The second is asking for the quantity “displacement”
![Page 11: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/11.jpg)
Displacement
• Symbol for displacement is “s”• Units: m• Question: is it possible to have negative
displacement?• How about distance?• Direction matters for displacment, but doesn’t
matter for distance!• Note: in this topic we are generally concerned about
motion in a straight line (one-dimensional motion)
![Page 12: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/12.jpg)
Speed vs Velocity
• You may have come across the term “velocity” and you may have used it interchangeably with “speed”
• In Physics they are actually different (but related) quantities
• The difference between speed and velocity is the same difference between distance and displacement
![Page 13: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/13.jpg)
Speed vs Velocity
• Direction matters for velocity but does not matter for speed
• The sign convention for velocity follows the sign convention for displacement
• E.g. if moving to the right is positive displacement, moving to the right is positive velocity as well
![Page 14: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/14.jpg)
Speed vs Velocity
• Official definition (to be memorized)• Speed is the distance moved per unit time• Velocity is the rate of change of displacement
![Page 15: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/15.jpg)
Scalars vs Vectors• Quantities which have direction as well as
magnitude are known as vectors• Quantities which only have magnitude are
known as scalars• This is the list of scalars and vectors which you
have studied so far:Scalars Vectors
Mass Force (e.g. Weight)
Distance Displacement
Speed Velocity
![Page 16: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/16.jpg)
Acceleration
• In English, we use the term “acceleration” to describe an object which is going faster and faster (as opposed to constant speed)
• If an object is going slower and slower, does it have acceleration?
• Yes!!• As long as an object has changing velocity, it
has an acceleration• Definition: the rate of change of velocity
![Page 17: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/17.jpg)
Acceleration
• Question: A car is making a right turn at constant speed. Does it have an acceleration?
• Yes!• The direction of the car changed, hence the
velocity of the car changed (recall that velocity is a vector). Thus there is a acceleration.
![Page 18: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/18.jpg)
Uniform Acceleration (straight line)• When an object is changing its velocity at a
constant rate, it is said to have uniform acceleration
• Definition: a constant rate of change of velocity
![Page 19: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/19.jpg)
Uniform Acceleration
• The following equation applies (only) if acceleration is uniform:
• a = (v-u)/t– a = acceleration– u = initial velocity– v = final velocity– t = time
• From this equation, can you determine units of acceleration?
![Page 20: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/20.jpg)
Deceleration
• You may come across the term “deceleration”, referring to an object going slower and slower.
• Deceleration is actually negative acceleration• Uniform deceleration is when an object is
going slower and slower at a constant rate.• In uniform deceleration cases, you may still
use the equation a = (v-u)/t, but acceleration must be a negative value
![Page 21: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/21.jpg)
Practice Task
![Page 22: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/22.jpg)
Important!• Presentation of Working in Calculation
Questions
• Step 1: Equation Step• Step 2: Substitution Step• Step 3: Intermediate Answers calculate to at
least 4 s.f.• Step 4: Final Answers provide to 3 s.f, with
correct units
![Page 23: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/23.jpg)
Quiz 2A
![Page 24: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/24.jpg)
Assignment 2A
• TYS Topic 2• Paper 1: Qn 1, 3, 5, 8, 12
• Due Date:• Reminder: Late Work Policy
![Page 25: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/25.jpg)
Finding Gradient
• Recall from Maths:• Gradient = Rise/Run
• Practice Task
![Page 26: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/26.jpg)
Kinematics Graphs
• Often in kinematics, we use graphs to describe the motion of objects, since graphs can provide a lot of information while taking less space
• You need to be familiar two kinds of graphs:• 1) Displacement – Time Graphs• 2) Velocity – Time Graphs
![Page 27: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/27.jpg)
Displacement-Time Graph
• In an s-t graph, the vertical axis represents displacement (s) while the horizontal axis represents time (t)
• Reading an s-t graph helps us to find• a) the displacement of an object at any one
time• b) the velocity of an object at any one time
![Page 28: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/28.jpg)
s-t graph (uniform velocity)
• Can you describe the graph below?• What is the velocity when t = 10 s?
s/m
t/s 2 4 6 8 10 12
100
60
40
20
0
80
![Page 29: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/29.jpg)
Practice Task
![Page 30: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/30.jpg)
Characteristics of s-t graph (uniform velocity)
• Straight line• gradient is the same at any point on the
straight line• the gradient represents velocity• What is happening if the s-t graph shows a flat
line?• What is happening if the s-t graph shows a line
which is sloping downwards?
![Page 31: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/31.jpg)
s-t graph (non-uniform velocity)
• Can you describe the velocity of this object?
• gradient is increasing = velocity is increasing
s/m
t/s 2 4 6 8 10 12 14 16 18 20
10080
604020
0
![Page 32: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/32.jpg)
s-t graph (non-uniform velocity)
• Can you describe the velocity of this object?
• gradient is decreasing = velocity is decreasing
s/m
t/s 2 4 6 8 10 12 14 16 18 20
10080
604020
0
![Page 33: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/33.jpg)
Characteristics of s-t graph (non-uniform velocity)
• curve• Find gradient by taking the tangent of the
curve• gradient represents instantaneous velocity• gradient changing with time = velocity
changing with time• increasing gradient = increasing velocity• decreasing gradient = decreasing velocity
![Page 34: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/34.jpg)
Practice Task
![Page 35: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/35.jpg)
![Page 36: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/36.jpg)
Quiz 2B
![Page 37: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/37.jpg)
Assignment 2B
• TYS Topic 2• Paper 2 Qn 1 [handout]
![Page 38: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/38.jpg)
Velocity-Time Graph
• In a v-t graph, the vertical axis represents velocity while the horizontal axis represents time
• Reading a v-t graph can help us to find:• 1) instantaneous velocity at any one point in time• 2) instantaneous acceleration at any one point in
time• 3) displacement covered in a time interval
(between two points in time)
![Page 39: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/39.jpg)
v-t graph (uniform acceleration)• Gradient of v-t graph = acceleration• What is the acceleration of this object?v/m s-1
0 2 4 6 8 10 12 13 14t/s
5
15
20 10
30 25
35
0
![Page 40: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/40.jpg)
Characteristics of v-t graph (uniform acceleration)
• Straight line graph• Gradient is constant = acceleration is constant• What would a v-t graph of an object with
constant velocity look like?• What would a v-t graph of an object at rest
look like?• What would a v-t graph of an object with
uniform decreasing velocity look like?
![Page 41: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/41.jpg)
v-t Graph (non-uniform acceleration)
• Can you describe this graph?
• gradient is decreasing = acceleration is decreasing
1 2 3 4 5 6 7 8 9 10 11 12
v/m s-1
t/s
0
20
10
30
![Page 42: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/42.jpg)
Characteristics of v-t graph (non-uniform acceleration)
• curve• gradient represents instantaneous
acceleration• gradient changing with time = acceleration
changing with time• increasing gradient = increasing acceleration• decreasing gradient = decreasing acceleration
![Page 43: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/43.jpg)
Practice Task
• Task 1: GLM pg 37 Qn 2(b)(i)-(iv)
• Task 2: GLM pg 38 Qn 4(a)(i)-(ii)
![Page 44: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/44.jpg)
finding displacement from v-t graphs
• Unlike s-t graphs, there is one more way to gain information from v-t graphs (aside from finding gradient)
• The area under a time interval v-t graph shows the displacement covered by that time interval
![Page 45: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/45.jpg)
finding displacement from v-t graphs
• Find displacement covered:• a) t = 0 s to t = 3 s• b) t = 3 s to t = 7.5 s• c) t = 7.5 s to t = 12 s• d) in total?
t/s
v/m s-1
0 1 2 3 4 5 6 7 8 9 10 11 12
10
20
30
40
50
![Page 46: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/46.jpg)
Practice Task
• Task 1: GLM pg 38 Qn 4(b)-(c)
• Task 2: GLM pg 45 Qn 7-8
![Page 47: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/47.jpg)
Drawing your own v-t graph
• Sometimes a graph may not be provided, but you may be required to sketch your own v-t graph to solve the question.
![Page 48: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/48.jpg)
Practice Task
• Task 1: GLM pg 42, Qn 1, 3
• Task 2: GLM pg 33, Qn 3 (actual question)
![Page 49: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/49.jpg)
Quiz 2C
![Page 50: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/50.jpg)
Putting it all together
• Most numerical problems involve 4 of these 5 quantities: v, u, a, s, t
auvts
If question involves these 4 quantities, use a = (v-u)/t to solve
If question involves these 4 quantities, draw your own v-t graph to solve
![Page 51: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/51.jpg)
Putting it all together
s-t graph v-t graphread off the
graphdisplacement velocity
gradient velocity accelerationarea under - displacement
![Page 52: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/52.jpg)
Putting it all together
Velocity
Acceleration
Displacement
gradient (differentiate)
gradient (differentiate) area under (integrate)
![Page 53: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/53.jpg)
Assignment 2C
• TYS Topic 2• Paper 1: Qn 5, 7, 9• Paper 2: Qn 4, 6
![Page 54: Kinematics. Lesson Structure Part 1 – Instantaneous Speed vs Average Speed – Scalars vs Vectors – acceleration Part 2: Displacement-Time Graphs – Uniform](https://reader034.vdocument.in/reader034/viewer/2022050908/56649f415503460f94c6074f/html5/thumbnails/54.jpg)
Summary• instantaneous vs average speed• scalars vs vectors• a = (v-u)/t• s-t graphs– finding velocity
• v-t graphs– finding acceleration– finding displacement– drawing own v-t graph