I'm ready to build my own e-bike, I'm using a bike I already have and I'm going with this kit:

Passion 48V 1500W Electric Bike Conversion Kit

• hub motor Max Speed: 600RPM
• electric wheel Power: 1500W
• hub motor Max Torque: 35N.M
• High Quality 18 MOSFET 45A ±1 Controller
• Full Speed: about 55-65km/hour (34 to 40mph)

The battery I plan on using with this setup is the 48v Panasonic 11.5ah or 13.5ah Shark Pack found here:

48v Panasonic 11.5ah or 13.5ah Shark Pack - Luna Cycle

My question regarding this battery pack is will it be enough for a 1500 watt motor?

The more I ready about batteries the more I confused I get. I keep reading about watts per hour, meaning a 48V battery at 11.5ah is 552 watts (not even close to the 1500w rating of the above motor). So do I need a 48V 30ah battery? 48v x 30 ah = 1440 watts, close to the 1500w rating.

The reason why I am thinking of purchasing the the Panasonic Shark Pack battery is because:

1) It's 48v
2) It's small, I have a mountain bike and plan on mounting it upside down underneath the lower beam of my bike. To explain it better, most bikes have an angled water bottle holder on the downtube, mine is there as well but it's mounted from underneath, closest to the ground. I figured this would be a better location then on the rear rack.
3) My route is 99% flat, although there is one big hill where I have to put my 24 speed bike into 1x1 gears in order to go up at like 2mph. The hill is maybe 1/8 of a mile.
4) I don't need a huge range, the most I would need is maybe 14 miles total round trip and I would never even go that far using the motor 100% of the time.

I would prefer a "dolphin" battery as it would be easier for me mount if you guys think there is a better choice for me.

Also, so I don't have to start a new thread, what is the easiest way to paint a dolphin case? My bike is red and most cases are black, I'd like to paint it red to give it a more stealth look.

Thanks for any advice.


EDIT:

What exactly is the difference between:

• Long Range NCRB 13.5ah $20.00
• 
  High Power and Long Rage GA 14ah $60.00

1500w signifies the amount of power the motor can accommodate indefinitely. Therefore, if your controller is delivering 30 amps to the motor and the battery is 48V, this is about 1440w. This probably is a good estimate of the controller output, but it would be prudent for you to find out. Looks like a direct drive motor; there are pretty bulletproof since there is only one moving part. I've had good luck with a similar motor and Luna's 52V, 10 a/h battery.

Noticed someplace else that your controller is 45 amps; make sure the battery that you select is adequate. Might need 25r cells, but I'm not sure since I haven't investigated.