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NUR ELYANI BINTI MUSA
JMSK


Hair Raiser Roller Coaster POV Ocean Park
Hong Kong B M Floorless On-Ride - 3.wmv
 Define scalar and vector quantities.

 Define linear motion
 Define uniform and non-uniform motion.
 Describe distance, displacement, speed, velocity,

average velocity, instantaneous velocity, acceleration
and deceleration.
 Apply the concept of linear motion in solving the
related problems by using formula
 Illustrade velocity – time graph.
 Determine the velocity, acceleration and displacement
from the graphs.
Objective……
Define scalar
quantity and
vector quantity

Definition
 Quantity which has magnitude only.
Example
 Distance, speed, Length, Time, density
Objective……
Define scalar and
vector quantity

Definition
- Quantity which have both magnitude
and direction.
Example
 Displacement, velocity, Force, Acceler
ation
Objective……
Define linear
Motion





Linear motion is the motion of an
object, moving in a straight line
or path.
The movement of any object
depend on frequent questions:
How far !
How fast !
Which direction !
Objective……
Define uniform
motion
Define non –
linear motion

Definition

Uniform motion is reaching and
maintaining its maximum speed on a
straight line.
Example



A falling coconut
A car moving in same speed in a
straight line
Objective……
Define uniform
motion
Define non –
linear motion

Definition

Non linear motion that undergoes a
change in velocity, either by changing
speed or changing direction.
Example
 A roller coaster ride
 A snake crawling
Objective……
Describe distance
, displacement, sp
eed, velocity, aver
age
velocity, instantan
eous
velocity, accelerati
on & deceleration

Distance (How far)
 Definition is total route taken from one place
into another place.
 Scalar Quantity because it has magnitude
only
 SI unit is meter
Displacement
 Definition is distance along with direction
 Vector quantity because it has both
magnitude & direction.
 SI unit is meter (m)
Distance

An aeroplane is flying from Airport A to
Airport B with a long distance about
350km without direction.

Displacement

But if the aeroplane use a direction move
towards Airport B, its displacement is
100km.
Speed
Objective……
Describe distance
, displacement,
speed, velocity,
average velocity,
instantaneous
velocity,
acceleration &
deceleration

Velocity

 Speed is the rate of
 Velocity is the rate of
change of distance.
change of displacement.
 Speed is scalar quantity.  Velocity is vector
quantity.
Speed = Distance, m
Time, s

 SI unit is meter per
second (ms-1).

Velocity = Displacement, m
Time, s

 SI unit is meter per
second (ms-1).
Objective……
Describe distance
, displacement, sp
eed, velocity, aver
age
velocity, instantan
eous
velocity, accelerati
on & deceleration

Average Velocity
Instantaneous Velocity
Average velocity is Instantaneous
for velocity of entire Velocity is velocity of
trip.
an object at the
particular instant or
time.
Acceleration
Objective……
Describe distance
, displacement,
speed, velocity,
average velocity,
instantaneous
velocity,
acceleration &
deceleration

Deceleration.

Acceleration is the rate change of
Deceleration is the rate change
velocity.
of velocity that has negative value.
Acceleration is vector quantity.
(Slowing down)
Acceleration = v - u
Acceleration = v - u
t
t
Where :
Where :
v = Final velocity (last high value)
v = Final velocity (last value)
u = Initial velocity(start to moving)
u = Initial velocity(start to slowing
t = time
down)
t = time
SI unit is ms-2.
Example : A car starts to move
slowly after max speed.
Example : A car starts to move fast
SI unit is ms-2.
From rest or low speed.
*Formula same as acceleration.
Objective……
Describe distance
, displacement, sp
eed, velocity, aver
age
velocity, instantan
eous
velocity, accelerati
on & deceleration

A student walks to the south for 30 m, then to the east for 40 m and
finally to the north for 30 m before he stops to rest. The total time
taken by the student for the whole journey is 40 seconds.
a) What is the total distance travelled?
b) What is the displacement of the student?
c) What is the average speed of the student and his velocity?
Solution
Total distance = 30 m + 40 m + 30 m
Rest place
Starting Point
= 100 m
Displacement = 40 m to the east.
Displacement
30 m

30 m

40 m

Average speed = 100 m
40
= 2.5ms -1
Velocity
= 40 m = 1.0 ms¯ ¹
40 s
Objective……
Describe distance
, displacement, sp
eed, velocity, aver
age
velocity, instantan
eous
velocity, accelerati
on & deceleration

In a car test, the velocity of a car increases
uniformly from rest to 30 ms-1 in 15 seconds.
What is the acceleration of the car?
Solution:
Acceleration = Final Velocity, v – Initial Velocity, u
Time taken, t
= 30 ms -1 – 0 ms-1
15 s
= 2 ms-2
Quantity
Apply the
concept of
linear motion in
solving the
related
problems by
using formula

Symbol

Unit

Distance/displacement

s

m

Time

t

s

Initial Velocity

u

ms¯¹

Final Velocity

v

ms¯¹

Acceleration/deceleration

a

ms¯²

Equation

Unit

Physic Quantity
Displacement

Velocity
Acceleration

M
(Metre)
V = u + at

ms¯¹
(metre/second)

A=v – u
t

ms¯²
(metre/second)
Apply the
concept of
linear motion in
solving the
related
problems by
using formula

A driver accelerates his car from 20 ms¯².
What is his velocity after 8 seconds ?
3 quantities
are known

Solution :
U = 20ms¯¹

First trial

Second trial

a = 2 ms¯²
?  x
v = u +2 a s
?  
v=u+at
v = 20 + 2 (8)
= 36 ms¯¹

t = 8s

v=?

Unable to
calculate, because only
two quantity are known
v, m sˉ¹

Illustrade
velocity – time
graph.

 Increasing velocity
 Constant/Uniform acceleration
v, m sˉ¹

t (s)

 Constant/Uniform velocity
 Zero acceleration
v, m sˉ¹

t (s)

 Decreasing velocity
 Constant/Uniform deceleration
t (s)
Objective……
Describe distance
, displacement, sp
eed, velocity, aver
age
velocity, instantan
eous
velocity, accelerati
on & deceleration

Exercise
A. A cow moves 3 meter to the east and
then 4 meter to the north. Find the :
i. Total distance moved by the cow
ii. Displacement of the cow
B.

A runner runs from the starting line
and achieves a velocity of 18m/s in 3
seconds. Calculate his acceleration.
Objective……
Describe distance
, displacement, sp
eed, velocity, aver
age
velocity, instantan
eous
velocity, accelerati
on & deceleration

A cow moves 3 meter to the east and then 4 meter to the north.
Find the :
i)
Total distance moved by the cow
ii)
Displacement of the cow
Solution :
C
4m

A

3m

B
C

5m
A

3m

4m
B

The total distance moved by the cow
= Length of AB + Length of BC
= 3m + 4m
= 7m
AC = √AB²+ BC²
= √3²+ 4²
= √9+ 16
= √25
= 5m
Objective……
Describe distance
, displacement, sp
eed, velocity, aver
age
velocity, instantan
eous
velocity, accelerati
on & deceleration

A runner runs from the starting line and
achieves a velocity of 18m/s in 3 seconds.
Calculate his acceleration.
Solution
u = o m/s v = 18 m/s t = 3s
a=v–u
t
a = 18 – 0
3
a = 6 m/s²
Q1(d)

A.

Objective……
Describe distance
, displacement,
speed, velocity,
average velocity,
instantaneous
velocity,
acceleration &
deceleration

A runner runs from the starting line
and achieves a velocity of 20 m/s¹ in
2.6 seconds. (CLO3)

i.

Calculate his acceleration (2 marks)

ii.

If the acceleration is constant,
calculate the displacement traveled
in 6.5 second.
( 2 marks)
A.
Objective……
Describe distance
, displacement,
speed, velocity,
average velocity,
instantaneous
velocity,
acceleration &
deceleration

A runner runs from the starting line and
achieves a velocity of 20 m/s¹ in 2.6
seconds. (CLO3)

i.

Calculate his acceleration (2 marks)
v = u + at
20 = 0 + a(2.6) …………..(1 m)
a = 20

2.6
a = 7.69 m/s² …………(1 m)
A runner runs from the starting line and
achieves a velocity of 20 m/s¹ in 2.6
seconds. (CLO3)
ii If the acceleration is constant, calculate
the displacement traveled in 6.5 second.
A.

Objective……
Describe distance
, displacement, sp
eed, velocity, aver
age
velocity, instantan
eous
velocity, accelerati
on & deceleration

(2 marks)
s = u t + 1 at²
2
s = 0 + 1 ( 7.69) (6.5) ² ………( 1 m)
2
s = 162.45 m
…………..( 1 m)
Q1(d)

Objective……
Describe distance
, displacement, sp
eed, velocity, aver
age
velocity, instantan
eous
velocity, accelerati
on & deceleration

A car starting from rest and accelerates at a constant
acceleration of 5 m/s² for 10 s. The car then travels at a
constant velocity for 15 s. the brakes are then applied
and the car stops in 5 s.
i.
Sketch a velocity- time graph for the whole
journey
a=v–u
t
5=v–0
10
v = 50 m/s

v (m/s)

50

0

10

25

30

t (s)
Achieved the
objective

Define scalar and vector quantities.
Define linear motion
Define uniform and non-uniform motion.
Describe distance, displacement, speed, velocity,
average velocity, instantaneous velocity, acceleration
and deceleration.
 Apply the concept of linear motion in solving the
related problems by using formula
 Illustrade velocity – time graph.
 Determine the velocity, acceleration and
displacement from the graphs.






The fastest train in the world is Japanese
maglev 581 km/h.
compared to
bullet train at Malysia (Ipoh KL) 150km/h


shows a person move with 2ms-1 along a circular path. The
magnitude of the quickness is the same, but the direction
keeps changing. Hence we say that the velocity of this person
keep changing when he moves through the path.
www.youtube.com
Modul BB101 – Engineering Science (JMSK)

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Linear motion present

  • 1. NUR ELYANI BINTI MUSA JMSK
  • 2.  Hair Raiser Roller Coaster POV Ocean Park Hong Kong B M Floorless On-Ride - 3.wmv
  • 3.  Define scalar and vector quantities.  Define linear motion  Define uniform and non-uniform motion.  Describe distance, displacement, speed, velocity, average velocity, instantaneous velocity, acceleration and deceleration.  Apply the concept of linear motion in solving the related problems by using formula  Illustrade velocity – time graph.  Determine the velocity, acceleration and displacement from the graphs.
  • 4. Objective…… Define scalar quantity and vector quantity Definition  Quantity which has magnitude only. Example  Distance, speed, Length, Time, density
  • 5. Objective…… Define scalar and vector quantity Definition - Quantity which have both magnitude and direction. Example  Displacement, velocity, Force, Acceler ation
  • 6. Objective…… Define linear Motion   Linear motion is the motion of an object, moving in a straight line or path. The movement of any object depend on frequent questions: How far ! How fast ! Which direction !
  • 7. Objective…… Define uniform motion Define non – linear motion Definition Uniform motion is reaching and maintaining its maximum speed on a straight line. Example   A falling coconut A car moving in same speed in a straight line
  • 8. Objective…… Define uniform motion Define non – linear motion Definition Non linear motion that undergoes a change in velocity, either by changing speed or changing direction. Example  A roller coaster ride  A snake crawling
  • 9. Objective…… Describe distance , displacement, sp eed, velocity, aver age velocity, instantan eous velocity, accelerati on & deceleration Distance (How far)  Definition is total route taken from one place into another place.  Scalar Quantity because it has magnitude only  SI unit is meter Displacement  Definition is distance along with direction  Vector quantity because it has both magnitude & direction.  SI unit is meter (m)
  • 10. Distance An aeroplane is flying from Airport A to Airport B with a long distance about 350km without direction. Displacement But if the aeroplane use a direction move towards Airport B, its displacement is 100km.
  • 11. Speed Objective…… Describe distance , displacement, speed, velocity, average velocity, instantaneous velocity, acceleration & deceleration Velocity  Speed is the rate of  Velocity is the rate of change of distance. change of displacement.  Speed is scalar quantity.  Velocity is vector quantity. Speed = Distance, m Time, s  SI unit is meter per second (ms-1). Velocity = Displacement, m Time, s  SI unit is meter per second (ms-1).
  • 12. Objective…… Describe distance , displacement, sp eed, velocity, aver age velocity, instantan eous velocity, accelerati on & deceleration Average Velocity Instantaneous Velocity Average velocity is Instantaneous for velocity of entire Velocity is velocity of trip. an object at the particular instant or time.
  • 13. Acceleration Objective…… Describe distance , displacement, speed, velocity, average velocity, instantaneous velocity, acceleration & deceleration Deceleration. Acceleration is the rate change of Deceleration is the rate change velocity. of velocity that has negative value. Acceleration is vector quantity. (Slowing down) Acceleration = v - u Acceleration = v - u t t Where : Where : v = Final velocity (last high value) v = Final velocity (last value) u = Initial velocity(start to moving) u = Initial velocity(start to slowing t = time down) t = time SI unit is ms-2. Example : A car starts to move slowly after max speed. Example : A car starts to move fast SI unit is ms-2. From rest or low speed. *Formula same as acceleration.
  • 14. Objective…… Describe distance , displacement, sp eed, velocity, aver age velocity, instantan eous velocity, accelerati on & deceleration A student walks to the south for 30 m, then to the east for 40 m and finally to the north for 30 m before he stops to rest. The total time taken by the student for the whole journey is 40 seconds. a) What is the total distance travelled? b) What is the displacement of the student? c) What is the average speed of the student and his velocity? Solution Total distance = 30 m + 40 m + 30 m Rest place Starting Point = 100 m Displacement = 40 m to the east. Displacement 30 m 30 m 40 m Average speed = 100 m 40 = 2.5ms -1 Velocity = 40 m = 1.0 ms¯ ¹ 40 s
  • 15. Objective…… Describe distance , displacement, sp eed, velocity, aver age velocity, instantan eous velocity, accelerati on & deceleration In a car test, the velocity of a car increases uniformly from rest to 30 ms-1 in 15 seconds. What is the acceleration of the car? Solution: Acceleration = Final Velocity, v – Initial Velocity, u Time taken, t = 30 ms -1 – 0 ms-1 15 s = 2 ms-2
  • 16. Quantity Apply the concept of linear motion in solving the related problems by using formula Symbol Unit Distance/displacement s m Time t s Initial Velocity u ms¯¹ Final Velocity v ms¯¹ Acceleration/deceleration a ms¯² Equation Unit Physic Quantity Displacement Velocity Acceleration M (Metre) V = u + at ms¯¹ (metre/second) A=v – u t ms¯² (metre/second)
  • 17. Apply the concept of linear motion in solving the related problems by using formula A driver accelerates his car from 20 ms¯². What is his velocity after 8 seconds ? 3 quantities are known Solution : U = 20ms¯¹ First trial Second trial a = 2 ms¯² ?  x v = u +2 a s ?   v=u+at v = 20 + 2 (8) = 36 ms¯¹ t = 8s v=? Unable to calculate, because only two quantity are known
  • 18. v, m sˉ¹ Illustrade velocity – time graph.  Increasing velocity  Constant/Uniform acceleration v, m sˉ¹ t (s)  Constant/Uniform velocity  Zero acceleration v, m sˉ¹ t (s)  Decreasing velocity  Constant/Uniform deceleration t (s)
  • 19. Objective…… Describe distance , displacement, sp eed, velocity, aver age velocity, instantan eous velocity, accelerati on & deceleration Exercise A. A cow moves 3 meter to the east and then 4 meter to the north. Find the : i. Total distance moved by the cow ii. Displacement of the cow B. A runner runs from the starting line and achieves a velocity of 18m/s in 3 seconds. Calculate his acceleration.
  • 20. Objective…… Describe distance , displacement, sp eed, velocity, aver age velocity, instantan eous velocity, accelerati on & deceleration A cow moves 3 meter to the east and then 4 meter to the north. Find the : i) Total distance moved by the cow ii) Displacement of the cow Solution : C 4m A 3m B C 5m A 3m 4m B The total distance moved by the cow = Length of AB + Length of BC = 3m + 4m = 7m AC = √AB²+ BC² = √3²+ 4² = √9+ 16 = √25 = 5m
  • 21. Objective…… Describe distance , displacement, sp eed, velocity, aver age velocity, instantan eous velocity, accelerati on & deceleration A runner runs from the starting line and achieves a velocity of 18m/s in 3 seconds. Calculate his acceleration. Solution u = o m/s v = 18 m/s t = 3s a=v–u t a = 18 – 0 3 a = 6 m/s²
  • 22. Q1(d) A. Objective…… Describe distance , displacement, speed, velocity, average velocity, instantaneous velocity, acceleration & deceleration A runner runs from the starting line and achieves a velocity of 20 m/s¹ in 2.6 seconds. (CLO3) i. Calculate his acceleration (2 marks) ii. If the acceleration is constant, calculate the displacement traveled in 6.5 second. ( 2 marks)
  • 23. A. Objective…… Describe distance , displacement, speed, velocity, average velocity, instantaneous velocity, acceleration & deceleration A runner runs from the starting line and achieves a velocity of 20 m/s¹ in 2.6 seconds. (CLO3) i. Calculate his acceleration (2 marks) v = u + at 20 = 0 + a(2.6) …………..(1 m) a = 20 2.6 a = 7.69 m/s² …………(1 m)
  • 24. A runner runs from the starting line and achieves a velocity of 20 m/s¹ in 2.6 seconds. (CLO3) ii If the acceleration is constant, calculate the displacement traveled in 6.5 second. A. Objective…… Describe distance , displacement, sp eed, velocity, aver age velocity, instantan eous velocity, accelerati on & deceleration (2 marks) s = u t + 1 at² 2 s = 0 + 1 ( 7.69) (6.5) ² ………( 1 m) 2 s = 162.45 m …………..( 1 m)
  • 25. Q1(d) Objective…… Describe distance , displacement, sp eed, velocity, aver age velocity, instantan eous velocity, accelerati on & deceleration A car starting from rest and accelerates at a constant acceleration of 5 m/s² for 10 s. The car then travels at a constant velocity for 15 s. the brakes are then applied and the car stops in 5 s. i. Sketch a velocity- time graph for the whole journey a=v–u t 5=v–0 10 v = 50 m/s v (m/s) 50 0 10 25 30 t (s)
  • 26. Achieved the objective Define scalar and vector quantities. Define linear motion Define uniform and non-uniform motion. Describe distance, displacement, speed, velocity, average velocity, instantaneous velocity, acceleration and deceleration.  Apply the concept of linear motion in solving the related problems by using formula  Illustrade velocity – time graph.  Determine the velocity, acceleration and displacement from the graphs.    
  • 27.  The fastest train in the world is Japanese maglev 581 km/h. compared to bullet train at Malysia (Ipoh KL) 150km/h
  • 28.  shows a person move with 2ms-1 along a circular path. The magnitude of the quickness is the same, but the direction keeps changing. Hence we say that the velocity of this person keep changing when he moves through the path.
  • 29. www.youtube.com Modul BB101 – Engineering Science (JMSK)