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This is interesting because kW*h and km/h are sort of in an opposite situation in terms of which one is "rate of change" and which one is "total value".
  • kW is a rate of change per unit time, it already includes the division by time in it (roughly kW = kJ/s)... e.g. something is consuming 10kW at this point.
    • kW*h is then the total amount of energy consumed over some time... e.g. over 5 hours we spent 50kWh.
  • km/h is the rate of change per unit of time... e.g. you are driving 10km/h at this point (I'm using km/h instead of mph because that is more often used with the division symbol).
    • km is the total amount of distance between two points.
      • If you would want the the total distance traveled over time (similar to kW*h), then you have to multiple the speed by the amount of time traveled, e.g. (10 km/h)*5h = 50km.