NASA launches a rocket at t=0t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=-4.9t2+184t+423  The rocket splashes down in the water after how many seconds? How high above sea level does the rocket get at its peak?

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Q: NASA launches a rocket at t=0t=0 seconds. Its height, in meters above sea-level, as a function of…

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Q: NASA launches a rocket at t=0t=0 seconds. Its height, in meters above sea-level, as a function of…

A: NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time…

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A: ht=-4.9t2+187t+297

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A: The rocket splashes down after 34.60 seconds.

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Q: peak

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Q: NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of…

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A: Topic- quadratic equations and application of derivatives

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.