A 81.4 kg toy rocket is sent flying straight up into the air with an acceleration of 4.20 m/s2. After 4.70 s it explodes and breaks apart into two pieces. The heavier piece has a mass of 66.0 kg. If the lighter piece is able to reach a maximum height of 168 m above the ground, what is the speed of the heavier piece of the toy rocket just after the explosion?

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