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To accelerate properly on a pedal bike you need to have good technique and strong leg muscles. You should start with slow steady strokes to get the bike up to speed then increase the pace of your pedaling as you feel comfortable. A good position on the bike is also key as it helps to maximize the power you get from each pedal stroke. And don't forget to shift gears to match your terrain so you can keep your cadence the rate at which you spin the pedals as even and comfortable as possible. Overall it takes practice to master proper bike acceleration.