I'm not quite sure where the "*2" is coming from in your calculation. It may be because I'm just that tired with dealing with what I'm dealing with, but I'm completely lost. The thing you need to calculate is that 1. the battery(s) and ESC(s) can handle not only the wattage of the motor, but also the amperage of the motor. As long as the two are over what the motor is pulling, you should be fine. I will let Gaba, our electrical engineer, comment on this further since I have to be missing something. And again, I'm sure it's just sleep deprivation.
John you are using 2 hours of operation pulling 9.5A each hour? If it says that motor can pull 9.5A's that means on peak load in an instant the motor is gonna pull 9.5A. That is on an instant. Only by running the motor will you find the actual usage of what the motor uses with an average load applied to it, for a unit of time. And then extrapolate from there how much current capacity is needed for that motor.
As far as larger battery like tony said, that means that you need the battery to be able to handle more than 9.5A of burst output at any instant if motor can pull that much.
So now, looking at your motor specs with a rated amperage of 5.6A... means average 5.6A of current is used by the motor .. (in an instant).. so your battery needs to be rated at over 5.6C with a rated burst of over 9C.
I might be wrong.. haha.. but I dont think so.. until and unless I am just missing something.
C rating is different that amp hour rating. C rating is the burst of current the battery can provide at an instant , nothing to do with the Ah capacity of the battery. usually Lipos are rated at say 5C rated - 10C burst. So at normal operation, the battery can provide load current 5A of continuous current and 10A of burst for startup or stall torque. This in no way relates to the Ah capacity of the battery. Its like battery is a tank and C rating is the hose coming out of the tank. How fast can the water flow out of the hose is derived by how big that hose is, but it has nothing to do with how much water is in the tank.
How much water you need to have in the tank is gonna be decided by how much water can the motor pull in unit time. which is determined by testing the motor on an average load. The load will probably be determined by the weight of the car you are trying to pull plus the passenger, and if there are three motors with equally distributed weight, all that divided by three.
I didnt mean to sound "smart" . if I in any way shape or form did. Just trying to help you understand.
The fact you're asking these basic questions on a high power application makes me think you're in over your head on this and should seek some in-person professional guidance, perhaps from a local university electrical engineering dept.
DO NOT use anything I mention here (both in case I'm wrong somewhere and in case I am right):
5.6A is the continuous current rating. 9.5A is the burst/peak current.
If you want to drive this for 2 hours straight at max continuous current rating, then you're talking 12Ah drawn over 2 hours, .7 underrating for capacity discharge safety, yields roughly 17Ah pack capacity at 600V per motor, aka 10.2kWh. Remember this is 600V so you're going to have to have a bunch of packs in a series/parallel combination to pull it off. Bringing it back into the RC realm: twenty-four(24) 6S Lipo packs in series, and three of those banks of packs paralleled (to cover the power for three motors). I AM NOT SUGGESTING YOU DO THIS. In fact I ACTIVELY DISCOURAGE IT. It will be a mess to charge (cells getting out of balance, etc.), it is highly dangerous (short it by accident and you could have a multi-pack lipo fire or explosion on your hands, over discharge and you can have a breach of a pack and a fire, etc.) to the point of being highly lethal (lots of amps and volts make for stopped heart, fried brain, etc.).
You mentioned a target of 14kW as your total vehicle power. At continuous rated capacity of the motor (5.6A), times 3 motors, at 600V, you're at roughly 11kW, somewhat below your target. And that isn't taking into account inefficiency either.
Also, you in an urban environment with lots of stop and go, you will be bursting a lot (acceleration from stop) so you have to throw in some extra for bursts, maybe add 15-25% capacity? Also lots of braking, so you will want to consider a regenerative braking system (use the wheel motors as generators to recharge the packs a bit on deceleration).
DO DO THIS: Again, seek some local, in-person consultation. Hire someone who might know what they're doing, such as a local/regional electric dragster hobbyist.