wait a minute. You can use 2 mouse traps? Time for all wheel drive! No matter how the weight shifts you'll always have weight over drive wheels. You could even rig it more sophisticated:
rear wheel mousetrap fires, turning the rear wheels and launching the car. The mousetrap triggers a cable which releases the second mousetrap's trigger, driving the front wheels and giving you a second burst of speed. You'll have to build in a ratchet function into the wheels so that the mousetraps don't stop the car when they finish springing, but that shouldn't be too hard to do.
The flywheel will easily get it 25 feet, but it'll do it slower than a brute force application.
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