Brushless motors are not at all the same as regular DC (brush) motors. I don't think Red is positive and Black is ground. A three-phase brushless motor needs to have sinusoidal waveforms applied to all three wires in the right way to get it to turn. You need to hook it up to a brushless motor controller (often called an ESC).
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The Ruggeduino: compatible with Arduino UNO, 24V operation, all I/O's fused and protected