## Question

###### A two-stage rocket is traveling at $1200 \mathrm{m} / \mathrm{s}$ with respect to the earth when the first stage runs out of fuel. Explosive bolts release the first stage and push it backward with a speed of $35 \mathrm{m} / \mathrm{s}$ relative to the second stage. The first stage is three times as massive as the second stage. What is the speed of the second stage after the separation?

A two-stage rocket is traveling at $1200 \mathrm{m} / \mathrm{s}$ with respect to the earth when the first stage runs out of fuel. Explosive bolts release the first stage and push it backward with a speed of $35 \mathrm{m} / \mathrm{s}$ relative to the second stage. The first stage is three times as massive as the second stage. What is the speed of the second stage after the separation?

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