Question

Convert $ 18km{\left( h \right)^{ - 1}} $ to $ m{\left( s \right)^{ - 1}} $ ? Answers with steps.

Answer 1

Hint: The distance can be expressed in units like metres or kilometres. One kilometre is equal to $ 1000 $ metres. The time can be expressed in seconds, minutes and hours, where one hour is equal to $ 60 $ minutes and one minute is equal to $ 60 $ seconds. To convert any value from kilometres per hour to metre per second, the value must multiply with a factor of $ \dfrac{{1000}}{{360}} $ .

Complete answer:
Generally, longer distances can be expressed in millimetres and centimetres. To express a smaller distance centimetre can also be used.
One metre is equal to $ 10 $ centimetres, and one kilometre is equal to $ 1000 $ metres.
Time can be measured in hours generally, but sometimes it can be expressed in minutes and seconds.
One hour is equal to $ 60 $ minutes, where one minute is equal to $ 60 $ seconds.
Given value is $ 18km{\left( h \right)^{ - 1}} $ which means it was given in kilometres per hour, to convert this value into metres per second.
Multiply with the value of $ 1000 $ as one kilometre is equal to $ 1000 $ metres and then divide with $ 360 $ as one hour is equal to $ 60 $ minutes, and one minute is equal to $ 60 $ seconds.
 $ 18km{\left( h \right)^{ - 1}} = 18 \times \dfrac{{1000}}{{60 \times 60}} $
By simplifying the above equation, the value will be
 $ 18km{\left( h \right)^{ - 1}} = 5m{\left( s \right)^{ - 1}} $
Thus, when $ 18km{\left( h \right)^{ - 1}} $ was converted into metres per second it is equal to $ 5m{\left( s \right)^{ - 1}} $ .

Note:
The speed of the vehicles can be represented in kilometres per hour, as vehicles can go very fastly. For smaller movements or smaller distances covering like small boats the speed can be expressed in metres per second. Both these units are representing the same quantity, but have to be converted from one to another.