An observer stands 700 ft away from a launch pad to observe a rocket launch. The rocket blasts of and maintains a velocity of 900 ft/sec. Assume the scenario can be modeled as a right triangle. How fast is the observer to rocket distance changing when the rocket is 2400 ft from the ground?

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A: Let the horizontal distance be x. From the given data of question: And the diagram is:

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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: Introduction: When an equation is given, we can determine the function value by putting different…

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Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A: A streetlight is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

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A: Let x= horizontal distance L= length of string,  Then a rough sketch of the problem is as follows:

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A: Form the situation on a right triangle and use trigonometric ratio than differentiate.

Q: A ladder 10 ft long leans against a vertical wall. If the bottomof the ladder slides away from the…

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Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

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Q: A ball is shot from the ground straight up into the air with initial velocity of 43 ft/sec. Assuming…

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Q: A man 5 ft tall is walking along a straight line at a rate of 3 ft/sec towards a lamp post that is…

A: According to the given question,

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Q: A revolving beacon is situated 3600 feet off a straight shore. If the beacon turns at 2 revolutions…

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Q: A ball is shot straight up into the air with initial velocity of 49 ft/sec. Assuming that the air…

A: See the details solution in below

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Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

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Q: A ladder 9 ft long rests agains a vertical wall. If the bottom of the ladder slides away from the…

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Q: A ball is shot from the ground straight up into the air with initial velocity of 41 ft/sec. Assuming…

A: Explained below

Exponential Growth Model

The relation that represents an exponential function is: