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Distance-Time Graphs
Distance-Time Graphs
7.1
Distance-Time Graphs
Speed is a rate which involves distance ad time.
The relationship between speed and time can be represented by a distance-time graph.
A distance-time graph enables the motion of an object to be represented in the graphic form which is easy to be understood
In a distance-time graph
the vertical axis represents the distance
the horizontal axis represents the time
the gradient of the graph represents the
rate of change in distance with respect to time,
that is
speed
A
distance-time graph
can be drawn if the following information regarding the motion is obtained
Distance-time table
Equation that represents the relationship between distance and time
Example
Diagram shows a motion from
\(O\)
to
\(C\)
for a distance in kilometres in a period of
\(T\)
, hours.
\(OA\)
positive gradient
of graph
gradient of
\(OA\)
represents speed of motion
motion at a uniform speed
motion for a distance (kilometres) in a period of time, hours
\(AB\)
zero gradient
no change in distance in a period of time
stationary for the period of times
\(BC\)
positive gradient
motion continues to
\(C\)
Distance-Time Graphs
7.1
Distance-Time Graphs
Speed is a rate which involves distance ad time.
The relationship between speed and time can be represented by a distance-time graph.
A distance-time graph enables the motion of an object to be represented in the graphic form which is easy to be understood
In a distance-time graph
the vertical axis represents the distance
the horizontal axis represents the time
the gradient of the graph represents the
rate of change in distance with respect to time,
that is
speed
A
distance-time graph
can be drawn if the following information regarding the motion is obtained
Distance-time table
Equation that represents the relationship between distance and time
Example
Diagram shows a motion from
\(O\)
to
\(C\)
for a distance in kilometres in a period of
\(T\)
, hours.
\(OA\)
positive gradient
of graph
gradient of
\(OA\)
represents speed of motion
motion at a uniform speed
motion for a distance (kilometres) in a period of time, hours
\(AB\)
zero gradient
no change in distance in a period of time
stationary for the period of times
\(BC\)
positive gradient
motion continues to
\(C\)
Chapter : Motion Graph
Topic : Distance-Time Graph
Form 4
Mathematics
View all notes for Mathematics Form 4
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