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# Answer to Question #5244 in Calculus for Fabiana

Question #5244
In physics, momentum P is defined by P=mv (where m stands for mass and v stands for velocity). A block of frozen nitrogen initially has mass 2kg and travels at 8meters/sec. It is accelerating at 0.5meters/sec2 and losing mass by melting at 0.1kg/sec. What is the rate of change of the momentum after 4 seconds?
The rate of change of the momentum
After 4 seconds:
And we have
<img src="data:image/png;base64,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" alt="">
<img src="data:image/png;base64,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" alt="">

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