Difference between revisions of "Distance-Time Graph"
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: '''Distance-time graphs''' give information about the journey taken by an [[object]]. | : '''Distance-time graphs''' give information about the journey taken by an [[object]]. | ||
: On a '''distance time graph''' the [[distance]] is plotted on the [[y-axis]] and the [[time]] is plotted on the [[x-axis]]. | : On a '''distance time graph''' the [[distance]] is plotted on the [[y-axis]] and the [[time]] is plotted on the [[x-axis]]. | ||
| − | : A distance time graph can | + | : A '''distance time graph''' can be used to calculate the [[speed]] of an [[object]]. |
| + | {| class="wikitable" | ||
| + | |- | ||
| + | | style="height:20px; width:200px; text-align:center;" |'''Slow Speed''' | ||
| + | | style="height:20px; width:200px; text-align:center;" |'''Medium Speed''' | ||
| + | | style="height:20px; width:200px; text-align:center;" |'''High Speed''' | ||
| + | |- | ||
| + | |[[File:dtGraphSlowSpeed.png|center|200px]] | ||
| + | |[[File:dtGraphMediumSpeed.png|center|200px]] | ||
| + | |[[File:dtGraphHighSpeed.png|center|200px]] | ||
| + | |- | ||
| + | | style="height:20px; width:200px; text-align:center;" |A constant [[speed]] is shown by a constant positive [[gradient]]. | ||
| + | | style="height:20px; width:200px; text-align:center;" |A higher [[gradient]] means a higher [[speed]]. | ||
| + | | style="height:20px; width:200px; text-align:center;" |The highest [[speed]] is shown by the steepest [[gradient]]. | ||
| + | |- | ||
| + | | style="height:20px; width:200px; text-align:center;" |'''Stationary''' | ||
| + | | style="height:20px; width:200px; text-align:center;" |'''Accelerating''' | ||
| + | | style="height:20px; width:200px; text-align:center;" |'''Decelerating''' | ||
| + | |- | ||
| + | |[[File:dtGraphStationary.png|center|200px]] | ||
| + | |[[File:dtGraphAccelerating.png|center|200px]] | ||
| + | |[[File:dtGraphDecelerating.png|center|200px]] | ||
| + | |- | ||
| + | | style="height:20px; width:200px; text-align:center;" |A [[gradient]] of zero shows the [[object]] is not moving. | ||
| + | | style="height:20px; width:200px; text-align:center;" |[[Acceleration]] is shown by an increasing [[gradient]]. | ||
| + | | style="height:20px; width:200px; text-align:center;" |[[Deceleration]] is shown by a decreasing [[gradient]]. | ||
| + | |} | ||
| + | |||
| + | |||
| + | ===Example Calculations=== | ||
| + | : The speed can be calculated from a '''distance time graph''' by reading the graph and using the equation [[Speed=Distance/Time]]. | ||
| + | {| class="wikitable" | ||
| + | |- | ||
| + | |[[File:dtGraphCalculation1.png|center|300px]] | ||
| + | |[[File:dtGraphCalculation2.png|center|300px]] | ||
| + | |- | ||
| + | | style="height:20px; width:300px; text-align:left;" |'''Calculate the speed of the object in this 80 second journey.''' | ||
| + | : distance = 400[[m]] | ||
| + | : time = 80[[s]] | ||
| + | :<math>Speed = {\tfrac{distance}{time}} </math> | ||
| + | :<math>Speed = {\tfrac{400}{80}} </math> | ||
| + | :<math>Speed = 5m/s </math> | ||
| + | | style="height:20px; width:300px; text-align:left;" |'''Calculate the speed of the object in the first 20 seconds.''' | ||
| + | : distance = 400[[m]] | ||
| + | : time = 20[[s]] | ||
| + | :<math>Speed = {\tfrac{distance}{time}} </math> | ||
| + | :<math>Speed = {\tfrac{400}{20}} </math> | ||
| + | :<math>Speed = 20m/s </math> | ||
| + | |- | ||
| + | |[[File:dtGraphCalculation2.png|center|300px]] | ||
| + | |[[File:dtGraphCalculation2.png|center|300px]] | ||
| + | |- | ||
| + | | style="height:20px; width:300px; text-align:left;" |'''Calculate the speed of the object between 20 and 80 seconds.''' | ||
| + | : distance = 100[[m]] | ||
| + | : time = 60[[s]] | ||
| + | :<math>Speed = {\tfrac{distance}{time}} </math> | ||
| + | :<math>Speed = {\tfrac{100}{60}} </math> | ||
| + | :<math>Speed \approx 1.7m/s </math> | ||
| + | | style="height:20px; width:300px; text-align:left;" |'''Calculate the average speed of the object for its journey.''' | ||
| + | : distance = 500[[m]] | ||
| + | : time = 80[[s]] | ||
| + | :<math>Speed = {\tfrac{distance}{time}} </math> | ||
| + | :<math>Speed = {\tfrac{500}{80}} </math> | ||
| + | :<math>Speed = 6.25m/s </math> | ||
| + | |} | ||
| + | |||
| + | ==Key Stage 4== | ||
| + | ===Meaning=== | ||
| + | A '''distance time graph''' is a [[graph]] that shows how the [[distance]] of an [[object]] from the [[origin]] changes with [[time]]. | ||
| + | |||
| + | ===About Distance Time Graphs=== | ||
| + | : '''Distance-time graphs''' give information about the journey taken by an [[object]]. | ||
| + | : On a '''distance time graph''' the [[distance]] is plotted on the [[y-axis]] and the [[time]] is plotted on the [[x-axis]]. | ||
| + | : A '''distance time graph''' can be used to calculate the [[speed]] of an [[object]]. | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
Revision as of 10:21, 14 February 2019
Contents
Key Stage 3
Meaning
A distance time graph is a graph that shows how the distance of an object from the origin changes with time.
About Distance Time Graphs
- Distance-time graphs give information about the journey taken by an object.
- On a distance time graph the distance is plotted on the y-axis and the time is plotted on the x-axis.
- A distance time graph can be used to calculate the speed of an object.
| Slow Speed | Medium Speed | High Speed |
 |
 |
 |
| A constant speed is shown by a constant positive gradient. | A higher gradient means a higher speed. | The highest speed is shown by the steepest gradient. |
| Stationary | Accelerating | Decelerating |
 |
 |
 |
| A gradient of zero shows the object is not moving. | Acceleration is shown by an increasing gradient. | Deceleration is shown by a decreasing gradient. |
Example Calculations
- The speed can be calculated from a distance time graph by reading the graph and using the equation Speed=Distance/Time.
 |
 |
| Calculate the speed of the object in this 80 second journey.
\[Speed = {\tfrac{distance}{time}} \] \[Speed = {\tfrac{400}{80}} \] \[Speed = 5m/s \] |
Calculate the speed of the object in the first 20 seconds.
\[Speed = {\tfrac{distance}{time}} \] \[Speed = {\tfrac{400}{20}} \] \[Speed = 20m/s \] |
|
|
| Calculate the speed of the object between 20 and 80 seconds.
\[Speed = {\tfrac{distance}{time}} \] \[Speed = {\tfrac{100}{60}} \] \[Speed \approx 1.7m/s \] |
Calculate the average speed of the object for its journey.
\[Speed = {\tfrac{distance}{time}} \] \[Speed = {\tfrac{500}{80}} \] \[Speed = 6.25m/s \] |
Key Stage 4
Meaning
A distance time graph is a graph that shows how the distance of an object from the origin changes with time.
About Distance Time Graphs
- Distance-time graphs give information about the journey taken by an object.
- On a distance time graph the distance is plotted on the y-axis and the time is plotted on the x-axis.
- A distance time graph can be used to calculate the speed of an object.
| Slow Speed | Medium Speed | High Speed |
|
|
|
| A constant speed is shown by a constant positive gradient. | A higher gradient means a higher speed. | The highest speed is shown by the steepest gradient. |
| Stationary | Accelerating | Decelerating |
|
|
|
| A gradient of zero shows the object is not moving. | Acceleration is shown by an increasing gradient. | Deceleration is shown by a decreasing gradient. |
Example Calculations
- The speed can be calculated from a distance time graph by reading the graph and using the equation Speed=Distance/Time.
|
|
| Calculate the speed of the object in this 80 second journey.
\[Speed = {\tfrac{distance}{time}} \] \[Speed = {\tfrac{400}{80}} \] \[Speed = 5m/s \] |
Calculate the speed of the object in the first 20 seconds.
\[Speed = {\tfrac{distance}{time}} \] \[Speed = {\tfrac{400}{20}} \] \[Speed = 20m/s \] |
|
|
| Calculate the speed of the object between 20 and 80 seconds.
\[Speed = {\tfrac{distance}{time}} \] \[Speed = {\tfrac{100}{60}} \] \[Speed \approx 1.7m/s \] |
Calculate the average speed of the object for its journey.
\[Speed = {\tfrac{distance}{time}} \] \[Speed = {\tfrac{500}{80}} \] \[Speed = 6.25m/s \] |