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A rocket with mass M is fired vertically upward. At the instant it reaches an altitude of 800m and a speed of v=350 m/s, it explodes into 3 fragments. one fragment with mass 1/2M moves upward with a speed of v1=400m/s following the explosion. The second fragment with mass 1/4M has a speed of v2= 260 m/s moving east after explosion. what's the third fragment right after the explosion?

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