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CHAPTER - 8
Motion
9/7/2020 1
Contents   Introduction
 Motion
 Rest
position
 Reference point
 Distance
 Displacement
 Types of motion
 Rate of motion
◦ Speed
◦ Velocity
◦ Acceleration
◦ Graphical representation
◦Three motion equations
9/7/2020 2
Introduction
 Everything in the galaxy moves.
 But based on the reference person it may be
under movement or at rest
 Movement  motion
 Motion
◦ An object is in motion, when its position changes
with time.
 Direct evidence of motion  moving bus, two
wheelers, fish, birds, earth, moon, video , tree
branches etc
 Indirect evidence  identification of air
movement by observing the movement of
dust, branches of tree and leaves etc
9/7/2020 3
Rest
 A body is said to be at rest if it does
not change its position with respect to
the surroundings and time.
 For example a book on the table, a
house, a tree etc,.
9/7/2020 4
RELATION B/W REST AND MOTION
 An object may be moving for one
person and stationary for another
person.
 Eg, Passengers on moving bus and
peoples who stands out.
 Rest and motion are relative. For
example a man standing still on the
earth is at rest with respect to the
earth. But he is in motion with respect
to the Sun.
9/7/2020 5
REFERENCE POINT
 The particular point about which the
position of the object is defined, is
called reference point or origin.
 It is the point from which the location
of object is measured. It is called as
origin. Any object can be located only
with the help of reference point and its
direction.
 Eg. The school in a village is 6 km
south from my home
9/7/2020 6
 Have you ever experienced that the
train in which you are sitting appears
to move while it is at rest?
9/7/2020 7
 We sometimes are endangered by the
motion of objects around us, especially
if that motion is erratic and
uncontrolled as observed in a flooded
river, a hurricane or a tsunami.
 On the other hand, controlled motion can be
a
service to human beings such as in the
generation of hydro-electric power.
 Do you feel the necessity to study the
erratic motion of some objects and
learn to control them?
9/7/2020 8
Note
 Scalar quantities: physical
quantities associate only with
magnitude i.e. numbers. Eg, mass,
time, distance, speed etc.
 Vector quantities: :physical
quantities associate with magnitude
i.e. numbers as well as direction. Eg.
Weight, displacement, velocity etc.
9/7/2020 9
Types of motion
9/7/2020 10
•Circulatory motion/circular motion – in a circular path
•Linear motion – in a straight line path
•Oscillatory/vibration motion – to and fro path with respect to
origin
Distance
 The length of the actual path covered
by a body in a given time is called
distance.
 It is a scalar quantity.
 C.G.S → centimeter (cm)
 S.I.→ metre(m)
 Always positive
9/7/2020 11
Displacement
 The shortest distance between the
initial and the final positions of the
body along with the direction of motion
is called displacement.
 It is a vector quantity.
 Units: C.G.S → centimeter (cm)
 S.I.→ metre(m)
9/7/2020 12
Distance vs Displacement
 Displacement of a moving object can
never be greater than the distance
travelled by it.
Displacement < = distance
Displacement / Distance <=1
 If a body moves along a straight line, then
distance and displacement will be equal
 Displacement can be + - or 0 but distance
is always +
9/7/2020 13
9/7/2020 14
Sl. No. Differentiating
Property
Distance Displacement
1 Definition The complete length of the
path between any two
points is called distance.
Displacement is
the direct shortest
length between
any two points
when measured
along the
minimum path
between them.
2 Denotation s d
3 Direction
Consideration
To calculate distance,
direction is not considered.
To calculate
displacement,
direction is taken
into consideration.
4 Quantity Distance is a scalar quantity
as it only depends upon the
magnitude and not the
direction.
Displacement is a
vector quantity as
it depends upon
both magnitude
and direction.
9/7/2020 16
© Differentiating Property Distance Displacement
5 Route Information Distance gives the detailed route
information that is followed while
traveling from one point to another.
As displacement refers
to the shortest path, it
does not give complete
information of the route.
6 Formula Speed × Time Velocity × Time
7 Possible Values Distance can only have positive
values.
Displacement can be
positive, negative and
even zero.
8 Indication Distance is not indicated with an
arrow.
Displacement is always
indicated with an arrow.
9 Measurement in Non-straight
Path
Distance can be measured along a
non-straight path.
Displacement can only
be measured along a
straight path.
10 Path Dependence Distance depends upon the path i.e.
it changes according to the path
taken.
Displacement does not
depend upon the path
and it only depends
upon the initial and final
position of the body.
Similarities between distance
and displacement:
 Both distance and displacement have
same unit of measurement , in S.I.
unit it is meter.
 Both distance and displacement have
magnitude. If the body travels on a
straight line unidirectionally, both
becomes equal in magnitude.
9/7/2020 17
Activity ______________ 8.3
 Take a metre scale and a long rope.
 Walk from one corner of a basket-ball
 court to its oppposite corner along its
 sides.
 Measure the distance covered by you
 and magnitude of the displacement.
 What difference would you notice
 between the two in this case?
9/7/2020 18
Activity ______________ 8.4
 Automobiles are fitted with a device
that shows the distance travelled.
Such a device is known as an odometer.
 A car is driven from Bhubaneshwar to
New Delhi. The difference between the
final reading and the initial reading of
the odometer is 1850 km.
 Find the magnitude of the displacement
between Bhubaneshwar and New Delhi
by using the Road Map of India.
9/7/2020 19
Uniform and non uniform
motion:
Uniform Motion Non-Uniform Motion
It is a motion in which equal
distance is covered in equal
time intervals of time intervals.
It is a motion in which unequal
distance is covered in equal
intervals of time.
Distance travelled by an object
in uniform motion increases
linearly.
Non linear.
9/7/2020 20
Activity 8.5
9/7/2020 21
Measuring the rate of motion :
(Speed)
What is km/hr?
Km/hr = 1000/3600 m/sec
 = 10/36 m/sec
 1 km/hr = 5 / 18 m /sec
1 km / hr = 1000/60 m/min
1 km / hr = 1/60 km / min
9/7/2020 22
1. Speed:
 The distance travelled by the body per
unit time is called speed. It is a scalar
quantity. Speed can either be positive
or zero. But never negative
 Units: C.G.S → cm s⁻1 , S.I. →m s -1
9/7/2020 23
Average speed:
 The ratio of total distance travelled to
total time taken by the body gives
average speed.
Total distance
 Average speed =
Total time taken
 S.I. unit of speed →m s -1
9/7/2020 24
Instantaneous speed:
 It is a measure of distance covered at
every instant of time
 The speed of an object at any
particular instant of time or at a
particular point of its path is called the
instantaneous speed of the object.
 Speedometer is a device which is
used to measure instantaneous speed
of a moving body.
9/7/2020 25
Uniform Speed:
 Moving body covers equal distance in
equal interval of time. i.e. constant
speed
9/7/2020 26
Non – uniform Speed:
 Moving body covers unequal distance
in equal interval of time. i.e. variable
speed.
9/7/2020 27
9/7/2020 28
H/W
 An object travels 10 km in 2 sec and
4 km in 10 mins. What is the average
speed of an object?
9/7/2020 29
2.[ Speed with Direction ]:
Velocity:-
 The ratio between the displacement of the body
per unit time is called velocity.
 Velocity can be either positive or zero or
negative.
 Velocity is a vector quantity.
 Speed of an object moving in a definite
direction within certain time period is known
as velocity.
Displacement (d)
 Velocity(v)=
Time (t)
 Units: C.G.S → cm s⁻1 , S.I. →m s -1
9/7/2020 30
Uniform velocity:
 If an object covers equal
displacements in equal intervals of
time , then its velocity is known as
uniform velocity. i.e. constant velocity.
9/7/2020 31
Non-Uniform velocity:
 If an object covers unequal
displacements in equal intervals of
time, then its velocity is known as non-
uniform velocity. i.e. variable velocity.
9/7/2020 32
Average velocity:
 The ratio of total displacement
travelled to total time taken by the
body gives its average velocity.
Total
displacement
 Average velocity =
Total time taken
9/7/2020 33
•Average speed is always greater than average velocity.
•If body returns to its initial position, average velocity will be zero
but average speed will not be zero.
•When direction of motion changes, velocity also changes.
Average velocity:
9/7/2020 34
Instantaneous velocity:
 It is the velocity of an object in motion
at a specific point of time.
 Speed and velocity are not always
equal in magnitude.
9/7/2020 35
9/7/2020 36
9/7/2020 37
9/7/2020 38
9/7/2020 39
3.Rate of Change of Velocity:
Acceleration
 The rate of change of velocity of a
body per unit time is called
acceleration
Acceleration(a) =
 Unit : C.G.S → cm s-2, S.I. → m s-2
9/7/2020 40
 So change in velocity will never
be zero
 If a body moves with uniform or
constant velocity, then the
acceleration is equal to zero.
 If velocity increases, acceleration
increases
 If velocity decreases, acceleration
decreases. In this acceleration will
be negative.
9/7/2020 41
 The acceleration is taken to be
positive if it is in the direction of
velocity and negative when it is
opposite to the direction of the
velocity.
 Negative acceleration is also known
as deceleration or retardation.
9/7/2020 42
Uniform acceleration:
 When velocity of body changes by
equal amounts in equal time intervals,
acceleration is said to be uniform.
 E.g. the motion of a freely falling body.
9/7/2020 43
Non- Uniform acceleration:
 When velocity of body changes by
unequal amounts in equal time
intervals, acceleration is said to be
non-uniform.
 E.g. the movement of a car in a
crowded city road.
9/7/2020 44
9/7/2020 45
9/7/2020 46
In text questions from rate of
change of velocity (acceleration)
9/7/2020 47
In text questions from speed with direction
(velocity)
9/7/2020 48
9/7/2020 49
In text questions from speed:
Graphical representation
a. Distance – Time Graph
(speed)
9/7/2020 50
* A change in position of an object with respect to time.
X axis  Time
Y axis  Distance
Applicable for an object moves at uniform, non uniform or at rest pos
[Uniform Speed]
Distance – Time Graph (speed)
[Uniform Speed]
9/7/2020 51
b. Velocity – Time Graph
(acceleration)
9/7/2020 52
•The variation in velocity with time of an object
•X axis  Time
•Y axis  Velocity
Area under velocity time graph gives
distance
9/7/2020 53
Uniform motion – constant velocity (zero acceleration)
Area under velocity time graph gives distance
9/7/2020 54
#From Velocity Time Graph both acceleration and distance can be
Uniform motion – change in velocity with uniform acceleration
9/7/2020 55
9/7/2020 56
Uniform motion – change in velocity with non - uniform acceleration
9/7/2020 57
9/7/2020 58
MOTION EQUATION
1.Velocity – Time Equation
2. Position – Time Equation
3. Position – Velocity Equation
9/7/2020 59
First equation of motion
9/7/2020 60
Second equation of motion
9/7/2020 61
Third equation of motion
9/7/2020 62

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MOTION

  • 2. Contents   Introduction  Motion  Rest position  Reference point  Distance  Displacement  Types of motion  Rate of motion ◦ Speed ◦ Velocity ◦ Acceleration ◦ Graphical representation ◦Three motion equations 9/7/2020 2
  • 3. Introduction  Everything in the galaxy moves.  But based on the reference person it may be under movement or at rest  Movement  motion  Motion ◦ An object is in motion, when its position changes with time.  Direct evidence of motion  moving bus, two wheelers, fish, birds, earth, moon, video , tree branches etc  Indirect evidence  identification of air movement by observing the movement of dust, branches of tree and leaves etc 9/7/2020 3
  • 4. Rest  A body is said to be at rest if it does not change its position with respect to the surroundings and time.  For example a book on the table, a house, a tree etc,. 9/7/2020 4
  • 5. RELATION B/W REST AND MOTION  An object may be moving for one person and stationary for another person.  Eg, Passengers on moving bus and peoples who stands out.  Rest and motion are relative. For example a man standing still on the earth is at rest with respect to the earth. But he is in motion with respect to the Sun. 9/7/2020 5
  • 6. REFERENCE POINT  The particular point about which the position of the object is defined, is called reference point or origin.  It is the point from which the location of object is measured. It is called as origin. Any object can be located only with the help of reference point and its direction.  Eg. The school in a village is 6 km south from my home 9/7/2020 6
  • 7.  Have you ever experienced that the train in which you are sitting appears to move while it is at rest? 9/7/2020 7
  • 8.  We sometimes are endangered by the motion of objects around us, especially if that motion is erratic and uncontrolled as observed in a flooded river, a hurricane or a tsunami.  On the other hand, controlled motion can be a service to human beings such as in the generation of hydro-electric power.  Do you feel the necessity to study the erratic motion of some objects and learn to control them? 9/7/2020 8
  • 9. Note  Scalar quantities: physical quantities associate only with magnitude i.e. numbers. Eg, mass, time, distance, speed etc.  Vector quantities: :physical quantities associate with magnitude i.e. numbers as well as direction. Eg. Weight, displacement, velocity etc. 9/7/2020 9
  • 10. Types of motion 9/7/2020 10 •Circulatory motion/circular motion – in a circular path •Linear motion – in a straight line path •Oscillatory/vibration motion – to and fro path with respect to origin
  • 11. Distance  The length of the actual path covered by a body in a given time is called distance.  It is a scalar quantity.  C.G.S → centimeter (cm)  S.I.→ metre(m)  Always positive 9/7/2020 11
  • 12. Displacement  The shortest distance between the initial and the final positions of the body along with the direction of motion is called displacement.  It is a vector quantity.  Units: C.G.S → centimeter (cm)  S.I.→ metre(m) 9/7/2020 12
  • 13. Distance vs Displacement  Displacement of a moving object can never be greater than the distance travelled by it. Displacement < = distance Displacement / Distance <=1  If a body moves along a straight line, then distance and displacement will be equal  Displacement can be + - or 0 but distance is always + 9/7/2020 13
  • 15. Sl. No. Differentiating Property Distance Displacement 1 Definition The complete length of the path between any two points is called distance. Displacement is the direct shortest length between any two points when measured along the minimum path between them. 2 Denotation s d 3 Direction Consideration To calculate distance, direction is not considered. To calculate displacement, direction is taken into consideration. 4 Quantity Distance is a scalar quantity as it only depends upon the magnitude and not the direction. Displacement is a vector quantity as it depends upon both magnitude and direction.
  • 16. 9/7/2020 16 © Differentiating Property Distance Displacement 5 Route Information Distance gives the detailed route information that is followed while traveling from one point to another. As displacement refers to the shortest path, it does not give complete information of the route. 6 Formula Speed × Time Velocity × Time 7 Possible Values Distance can only have positive values. Displacement can be positive, negative and even zero. 8 Indication Distance is not indicated with an arrow. Displacement is always indicated with an arrow. 9 Measurement in Non-straight Path Distance can be measured along a non-straight path. Displacement can only be measured along a straight path. 10 Path Dependence Distance depends upon the path i.e. it changes according to the path taken. Displacement does not depend upon the path and it only depends upon the initial and final position of the body.
  • 17. Similarities between distance and displacement:  Both distance and displacement have same unit of measurement , in S.I. unit it is meter.  Both distance and displacement have magnitude. If the body travels on a straight line unidirectionally, both becomes equal in magnitude. 9/7/2020 17
  • 18. Activity ______________ 8.3  Take a metre scale and a long rope.  Walk from one corner of a basket-ball  court to its oppposite corner along its  sides.  Measure the distance covered by you  and magnitude of the displacement.  What difference would you notice  between the two in this case? 9/7/2020 18
  • 19. Activity ______________ 8.4  Automobiles are fitted with a device that shows the distance travelled. Such a device is known as an odometer.  A car is driven from Bhubaneshwar to New Delhi. The difference between the final reading and the initial reading of the odometer is 1850 km.  Find the magnitude of the displacement between Bhubaneshwar and New Delhi by using the Road Map of India. 9/7/2020 19
  • 20. Uniform and non uniform motion: Uniform Motion Non-Uniform Motion It is a motion in which equal distance is covered in equal time intervals of time intervals. It is a motion in which unequal distance is covered in equal intervals of time. Distance travelled by an object in uniform motion increases linearly. Non linear. 9/7/2020 20
  • 22. Measuring the rate of motion : (Speed) What is km/hr? Km/hr = 1000/3600 m/sec  = 10/36 m/sec  1 km/hr = 5 / 18 m /sec 1 km / hr = 1000/60 m/min 1 km / hr = 1/60 km / min 9/7/2020 22
  • 23. 1. Speed:  The distance travelled by the body per unit time is called speed. It is a scalar quantity. Speed can either be positive or zero. But never negative  Units: C.G.S → cm s⁻1 , S.I. →m s -1 9/7/2020 23
  • 24. Average speed:  The ratio of total distance travelled to total time taken by the body gives average speed. Total distance  Average speed = Total time taken  S.I. unit of speed →m s -1 9/7/2020 24
  • 25. Instantaneous speed:  It is a measure of distance covered at every instant of time  The speed of an object at any particular instant of time or at a particular point of its path is called the instantaneous speed of the object.  Speedometer is a device which is used to measure instantaneous speed of a moving body. 9/7/2020 25
  • 26. Uniform Speed:  Moving body covers equal distance in equal interval of time. i.e. constant speed 9/7/2020 26
  • 27. Non – uniform Speed:  Moving body covers unequal distance in equal interval of time. i.e. variable speed. 9/7/2020 27
  • 29. H/W  An object travels 10 km in 2 sec and 4 km in 10 mins. What is the average speed of an object? 9/7/2020 29
  • 30. 2.[ Speed with Direction ]: Velocity:-  The ratio between the displacement of the body per unit time is called velocity.  Velocity can be either positive or zero or negative.  Velocity is a vector quantity.  Speed of an object moving in a definite direction within certain time period is known as velocity. Displacement (d)  Velocity(v)= Time (t)  Units: C.G.S → cm s⁻1 , S.I. →m s -1 9/7/2020 30
  • 31. Uniform velocity:  If an object covers equal displacements in equal intervals of time , then its velocity is known as uniform velocity. i.e. constant velocity. 9/7/2020 31
  • 32. Non-Uniform velocity:  If an object covers unequal displacements in equal intervals of time, then its velocity is known as non- uniform velocity. i.e. variable velocity. 9/7/2020 32
  • 33. Average velocity:  The ratio of total displacement travelled to total time taken by the body gives its average velocity. Total displacement  Average velocity = Total time taken 9/7/2020 33 •Average speed is always greater than average velocity. •If body returns to its initial position, average velocity will be zero but average speed will not be zero. •When direction of motion changes, velocity also changes.
  • 35. Instantaneous velocity:  It is the velocity of an object in motion at a specific point of time.  Speed and velocity are not always equal in magnitude. 9/7/2020 35
  • 40. 3.Rate of Change of Velocity: Acceleration  The rate of change of velocity of a body per unit time is called acceleration Acceleration(a) =  Unit : C.G.S → cm s-2, S.I. → m s-2 9/7/2020 40
  • 41.  So change in velocity will never be zero  If a body moves with uniform or constant velocity, then the acceleration is equal to zero.  If velocity increases, acceleration increases  If velocity decreases, acceleration decreases. In this acceleration will be negative. 9/7/2020 41
  • 42.  The acceleration is taken to be positive if it is in the direction of velocity and negative when it is opposite to the direction of the velocity.  Negative acceleration is also known as deceleration or retardation. 9/7/2020 42
  • 43. Uniform acceleration:  When velocity of body changes by equal amounts in equal time intervals, acceleration is said to be uniform.  E.g. the motion of a freely falling body. 9/7/2020 43
  • 44. Non- Uniform acceleration:  When velocity of body changes by unequal amounts in equal time intervals, acceleration is said to be non-uniform.  E.g. the movement of a car in a crowded city road. 9/7/2020 44
  • 47. In text questions from rate of change of velocity (acceleration) 9/7/2020 47
  • 48. In text questions from speed with direction (velocity) 9/7/2020 48
  • 49. 9/7/2020 49 In text questions from speed:
  • 50. Graphical representation a. Distance – Time Graph (speed) 9/7/2020 50 * A change in position of an object with respect to time. X axis  Time Y axis  Distance Applicable for an object moves at uniform, non uniform or at rest pos [Uniform Speed]
  • 51. Distance – Time Graph (speed) [Uniform Speed] 9/7/2020 51
  • 52. b. Velocity – Time Graph (acceleration) 9/7/2020 52 •The variation in velocity with time of an object •X axis  Time •Y axis  Velocity
  • 53. Area under velocity time graph gives distance 9/7/2020 53 Uniform motion – constant velocity (zero acceleration)
  • 54. Area under velocity time graph gives distance 9/7/2020 54 #From Velocity Time Graph both acceleration and distance can be Uniform motion – change in velocity with uniform acceleration
  • 56. 9/7/2020 56 Uniform motion – change in velocity with non - uniform acceleration
  • 59. MOTION EQUATION 1.Velocity – Time Equation 2. Position – Time Equation 3. Position – Velocity Equation 9/7/2020 59
  • 60. First equation of motion 9/7/2020 60
  • 61. Second equation of motion 9/7/2020 61
  • 62. Third equation of motion 9/7/2020 62