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Question

A weather balloon is rising vertically at the rate of $5$ meters per second. An observer is standing on the ground $300$ meters from where the balloon was released. At what rate is the distance between the observer and the balloon changing when the balloon is $400$ meters high?

Solution

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Answered 1 year ago

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1 of 6Given the figure is When the balloon is 400 meters up, how quickly does the distance between the observer and the balloon change? Also, given that the distance between the observer and the ground where the balloon was released is $300$ meters and at the rate of $5\ \text{m/s}$, the balloon is rising vertically, that is,

$\dfrac{\text{d}y}{\text{d}t}=5\ \text{m/s}$

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