19,916
edits
Changes
no edit summary
: '''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 show 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"
|-