Download App
Google Android
Apple iOS
Huawei
English
English
Malay
Guest
Login
Register
Home
Quiz
Battle
Practice
Class
Classes List
Timetable
Assignments
Learn
Learning Hub
Quick Notes
Videos
Experiments
Textbooks
Login
Register
Download App
Google Android
Apple iOS
Huawei
EN
MS
Learn
Quick Notes
List
Solve problems involving speed-time graphs
Speed-Time Graphs
7.2
Speed-Time Graphs
In a speed-time graph
the vertical axis represents the speed of a motion
the horizontal axis represents the time taken
the gradient of graph represents the
rate of change of speed with respect to time,
that is
acceleration
A
speed-time graph
can be drawn if following information regarding the motion is obtained
Speed-time table
Equation that represents the relationship between speed and time
Example
\(P\)
The speed of object increases
from
\(0 \space ms^-1\)
to
\(16 \space ms^-1\)
The gradient of graph is positive, hence the rate of change of speed is positive
\(\text{Acceleration} = \dfrac{\text{Change of speed}}{\text{Changein time}}\)
The area of triangle
\(OAP\)
that is the area represents the
distance
travelled in the period of
\(10s\)
\(Q\)
There is
no change of speed
(zero gradient)
The object moves at a
uniform speed
The area of square under
\(Q\)
represents the
distance
travelled in the period of
\((20-10)s\)
\(R\)
Speed of the object decreases
The gradient of graph is negative, hence the rate of change of speed is negative
\(\text{Deceleration} = \dfrac{\text{Change of speed}}{\text{Change in time}}\)
There is no change in direction in which the motion of the object remains in the same direction
The area of triangle
\(BCR\)
that is the area represents the distance travelled in the period of
\((25-20)s\)
Speed-Time Graphs
7.2
Speed-Time Graphs
In a speed-time graph
the vertical axis represents the speed of a motion
the horizontal axis represents the time taken
the gradient of graph represents the
rate of change of speed with respect to time,
that is
acceleration
A
speed-time graph
can be drawn if following information regarding the motion is obtained
Speed-time table
Equation that represents the relationship between speed and time
Example
\(P\)
The speed of object increases
from
\(0 \space ms^-1\)
to
\(16 \space ms^-1\)
The gradient of graph is positive, hence the rate of change of speed is positive
\(\text{Acceleration} = \dfrac{\text{Change of speed}}{\text{Changein time}}\)
The area of triangle
\(OAP\)
that is the area represents the
distance
travelled in the period of
\(10s\)
\(Q\)
There is
no change of speed
(zero gradient)
The object moves at a
uniform speed
The area of square under
\(Q\)
represents the
distance
travelled in the period of
\((20-10)s\)
\(R\)
Speed of the object decreases
The gradient of graph is negative, hence the rate of change of speed is negative
\(\text{Deceleration} = \dfrac{\text{Change of speed}}{\text{Change in time}}\)
There is no change in direction in which the motion of the object remains in the same direction
The area of triangle
\(BCR\)
that is the area represents the distance travelled in the period of
\((25-20)s\)
Chapter : Motion Graph
Topic : Solve problems involving speed-time graphs
Form 4
Mathematics
View all notes for Mathematics Form 4
Related notes
Distance-Time Graphs
Quadratic Functions and Equations in One Variable
Number Bases
Statements
Arguments
Intersection of Sets
Union of Sets
Combined Operations on Sets
Chapter 5: Network in Graph Theory
Network
Report this note
Online Tuition
Live class daily with celebrity tutors
Learn more
Register for a free Pandai account now
Edit content
×
Loading...
Quiz
Videos
Notes
Account