Difference between revisions of "Speed=Distance/Time"
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===Meaning=== | ===Meaning=== | ||
[[File:sdtTriangle.png|right|300px|thumb|This equation triangle shows how to rearrange the equation to find speed, distance or time. To find speed cover over the s to find it is d/t. To find distance cover over the d to find it is s x t. To find time cover over t to find it is d/s.]] | [[File:sdtTriangle.png|right|300px|thumb|This equation triangle shows how to rearrange the equation to find speed, distance or time. To find speed cover over the s to find it is d/t. To find distance cover over the d to find it is s x t. To find time cover over t to find it is d/s.]] | ||
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| + | <math>Speed = {\frac{distance}{time}} </math> is an equation which can be used to calculate the [[speed]] of an [[object]] given the [[distance]] traveled and the [[time]] taken to travel that [[distance]]. | ||
===About Speed=Distance/Time=== | ===About Speed=Distance/Time=== | ||
| − | : The standard scientific [[unit]]s for '''speed''' are [[Metres per | + | : The standard scientific [[unit]]s for [[measuring]] '''speed''' are [[Metres per Second|metres per second]] (m/s). |
: The [[unit]]s of [[speed]] are given by the [[unit]]s of [[distance]] used and the [[unit]]s of [[time]] used in the calculation. | : The [[unit]]s of [[speed]] are given by the [[unit]]s of [[distance]] used and the [[unit]]s of [[time]] used in the calculation. | ||
| − | + | <math>Speed = {\frac{distance}{time}} </math> | |
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| − | + | <math>Speed = {\frac{metres}{seconds}} </math> | |
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| + | <math>Speed = {\frac{m}{s}} </math> | ||
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| + | <math>Speed = m/s </math> | ||
===Example Calculations=== | ===Example Calculations=== | ||
{| class="wikitable" | {| class="wikitable" | ||
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| − | | style="height:20px; width: | + | | style="height:20px; width:300px; text-align:center;" |'''A person jogs 300 [[metre]]s in 120 [[second]]s. Calculate the speed of the jogger.''' |
| − | | style="height:20px; width: | + | | style="height:20px; width:300px; text-align:center;" |'''A racing car travels 500 [[metre]]s in 10 [[second]]s. Calculate the speed of the racing car.''' |
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| − | | style="height:20px; width: | + | | style="height:20px; width:300px; text-align:left;" | |
| − | + | distance = 300m | |
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| − | + | time = 120s | |
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| − | + | <math>Speed = {\tfrac{distance}{time}} </math> | |
| − | | style="height:20px; width: | + | |
| − | + | <math>Speed = {\tfrac{300}{120}} </math> | |
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| − | + | <math>Speed = 2.5m/s </math> | |
| − | + | | style="height:20px; width:300px; text-align:left;" | | |
| − | + | distance = 500m | |
| + | |||
| + | time = 10s | ||
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| + | <math>Speed = {\tfrac{distance}{time}} </math> | ||
| + | |||
| + | <math>Speed = {\tfrac{500}{10}} </math> | ||
| + | |||
| + | <math>Speed = 50m/s </math> | ||
|- | |- | ||
| − | | style="height:20px; width: | + | | style="height:20px; width:300px; text-align:center;" |'''A horse takes 20 [[minute]]s to trot 2.4 [[kilometre]]s. Calculate the speed of the horse in [[Metres per second|metres per second]].''' |
| − | | style="height:20px; width: | + | | style="height:20px; width:300px; text-align:center;" |'''The International Space Station takes 92 [[minute]]s to orbit the Earth once travelling 42,000 [[kilometre]]s. Calculate the speed of the ISS.''' |
|- | |- | ||
| − | | style="height:20px; width: | + | | style="height:20px; width:300px; text-align:left;" | |
| − | + | distance = 2.4km = 2400m | |
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| − | + | time = 20[[min]] = 1200s | |
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| − | + | <math>Speed = {\tfrac{distance}{time}} </math> | |
| − | | style="height:20px; width: | + | |
| − | + | <math>Speed = {\tfrac{2400}{1200}} </math> | |
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| − | + | <math>Speed = 2m/s </math> | |
| − | + | | style="height:20px; width:300px; text-align:left;" | | |
| − | + | distance = 42,000km = 42,000,000m | |
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| + | time = 20[[min]] = 5400s | ||
| − | + | <math>Speed = {\tfrac{distance}{time}} </math> | |
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| − | + | <math>Speed = {\tfrac{42000000}{5400}} </math> | |
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| − | + | <math>Speed = 7608.7m/s </math> | |
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| − | + | <math>Speed \approx 7600m/s </math> | |
| − | + | |} | |
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Latest revision as of 13:31, 7 June 2019
Key Stage 3
Meaning
\(Speed = {\frac{distance}{time}} \) is an equation which can be used to calculate the speed of an object given the distance traveled and the time taken to travel that distance.
About Speed=Distance/Time
- The standard scientific units for measuring speed are metres per second (m/s).
- The units of speed are given by the units of distance used and the units of time used in the calculation.
\(Speed = {\frac{distance}{time}} \)
\(Speed = {\frac{metres}{seconds}} \)
\(Speed = {\frac{m}{s}} \)
\(Speed = m/s \)
Example Calculations
| A person jogs 300 metres in 120 seconds. Calculate the speed of the jogger. | A racing car travels 500 metres in 10 seconds. Calculate the speed of the racing car. |
|
distance = 300m time = 120s \(Speed = {\tfrac{distance}{time}} \) \(Speed = {\tfrac{300}{120}} \) \(Speed = 2.5m/s \) |
distance = 500m time = 10s \(Speed = {\tfrac{distance}{time}} \) \(Speed = {\tfrac{500}{10}} \) \(Speed = 50m/s \) |
| A horse takes 20 minutes to trot 2.4 kilometres. Calculate the speed of the horse in metres per second. | The International Space Station takes 92 minutes to orbit the Earth once travelling 42,000 kilometres. Calculate the speed of the ISS. |
|
distance = 2.4km = 2400m time = 20min = 1200s \(Speed = {\tfrac{distance}{time}} \) \(Speed = {\tfrac{2400}{1200}} \) \(Speed = 2m/s \) |
distance = 42,000km = 42,000,000m time = 20min = 5400s \(Speed = {\tfrac{distance}{time}} \) \(Speed = {\tfrac{42000000}{5400}} \) \(Speed = 7608.7m/s \) \(Speed \approx 7600m/s \) |