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Water is poured into a container that has a leak. The mass m of the water is given as a function of time t by m = 4.5t0.8 - 3.3t + 21, with t ? 0, m in grams, and t in seconds.
(a) At what time is the water mass greatest, and
(b) what is that greatest mass?
In kilograms per minute, what is the rate of mass change at
(c) t = 2.4 s and
d) t = 5.5 s?
An alert physics student stands beside the tracks as a train rolls slowly past. He notes that the frequency of the train whistle is 443 Hz when the train is approaching him.
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