Difference between revisions of "Speed=Distance/Time"

Revision as of 07:46, 13 October 2018

Key Stage 3

Meaning

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.

\[Speed = {\tfrac{distance}{time}} \] 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 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.

\[Speed = {\tfrac{distance}{time}} \] \[Speed = {\tfrac{metres}{seconds}} \] \[Speed = {\tfrac{m}{s}} \] \[Speed = m/s \]

Example Calculations

A person jogs 300metres in 120 seconds. Calculate the speed of the jogger.	A racing car travels 500metres 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 \[Speed = {\tfrac{distance}{time}} \] \[Speed = {\tfrac{42000000}{5400}} \] \[Speed = 7608.7m/s \] \[Speed \approx 7600m/s \]

A person jogs 300metres in 120 seconds. Calculate the speed of the jogger.

distance = 300m

time = 120s

\[Speed = {\tfrac{distance}{time}} \] \[Speed = {\tfrac{300}{120}} \] \[Speed = 2.5m/s \]

A racing car travels 500metres in 10 seconds. Calculate the speed of the racing car.

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.

distance = 2.4km = 2400m

time = 20min = 1200s

\[Speed = {\tfrac{distance}{time}} \] \[Speed = {\tfrac{2400}{1200}} \] \[Speed = 2m/s \]

The International Space Station takes 92 minutes to orbit the Earth once travelling 42,000 kilometres. Calculate the speed of the ISS.

distance = 42,000km = 42,000,000m

time = 20min = 5400s

\[Speed = {\tfrac{distance}{time}} \] \[Speed = {\tfrac{42000000}{5400}} \] \[Speed = 7608.7m/s \] \[Speed \approx 7600m/s \]

@@ Line 14: / Line 14: @@
 ===Example Calculations===
+{| class="wikitable"
+|-
+| style="height:20px; width:200px; text-align:center;" |A person jogs 300[[metre]]s in 120 [[second]]s. Calculate the speed of the jogger.
+| style="height:20px; width:200px; text-align:center;" |A racing car travels 500[[metre]]s in 10 [[second]]s. Calculate the speed of the racing car.
+|-
+| style="height:20px; width:200px; text-align:left;" |: distance = 300[[m]]
+: time = 120[[s]]
+:<math>Speed = {\tfrac{distance}{time}} </math>
+:<math>Speed = {\tfrac{300}{120}} </math>
+:<math>Speed = 2.5m/s </math>
+| style="height:20px; width:200px; text-align:left;" |: distance = 500[[m]]
+: time = 10[[s]]
+:<math>Speed = {\tfrac{distance}{time}} </math>
+:<math>Speed = {\tfrac{500}{10}} </math>
+:<math>Speed = 50m/s </math>
+|-
+| style="height:20px; width:200px; 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:200px; text-align:center;" |The International Space Station takes 92 minutes to orbit the Earth once travelling 42,000 [[kilometre]]s. Calculate the speed of the ISS.
+|-
+| style="height:20px; width:200px; text-align:left;" |: distance = 2.4[[km]] = 2400[[m]]
+: time = 20[[min]] = 1200[[s]]
+:<math>Speed = {\tfrac{distance}{time}} </math>
+:<math>Speed = {\tfrac{2400}{1200}} </math>
+:<math>Speed = 2m/s </math>
+| style="height:20px; width:200px; text-align:left;" |: distance = 42,000[[km]] = 42,000,000[[m]]
+: time = 20[[min]] = 5400[[s]]
+:<math>Speed = {\tfrac{distance}{time}} </math>
+:<math>Speed = {\tfrac{42000000}{5400}} </math>
+:<math>Speed = 7608.7m/s </math>
+:<math>Speed \approx 7600m/s </math>
+|}
 A person jogs 300[[metre]]s in 120 [[second]]s. Calculate the speed of the jogger.
 : distance = 300[[m]]