At some hobby stores you can buy high speed but still small gas or electric engines for rc places. I suggest using one of those.
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Still with the fixed line along the floor for guidance - Suggest catapult for acceleration.
How fast is fast - Suggest rocket power on a fixed line
for me fast==around 7 m/sec and without using any combustion or exothermic rxn
+1 was gonna sugest that, but rick beat me to it!!