Two protons (each with rest mass m=1.671027kgm=1.671027kg) are initially moving with equal speeds in opposite directions. The protons continue to exist after a collision that produces an 00 particle. The rest mass of the 00 is m=9.751028kgm=9.751028kg.

If the two protons and the 00 are all at rest after the collision, find the initial speed vvv of the protons.Express your answer as a fraction of the speed of light to three significant figures.