a) On the moon, all free-fall distance functions are of the form s(t)=0.81t2,where t is in seconds and s is in meters. An object is dropped from a height of 150 meters above the moon. After 8 sec, consider parts (a) through (d) below.a)How far has the object fallen?b)How fast is it traveling?c)What is its acceleration?d)Explain the meaning of the second derivative of this free-fall function.b) An accessories company finds that the cost, in dollars, of producing x belts is given by C(x)=720+31x−0.061x2.Find the rate at which average cost is changing when 180 belts have been produced. And when 180 belts have been produced, the average cost is changing at how much dollar per belt for each additional belt.

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Answered: a) On the moon, all free-fall…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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a) On the moon, all free-fall distance functions are of the form s(t)=0.81t2,
where t is in seconds and s is in meters. An object is dropped from a height of 150 meters above the moon. After 8 sec, consider parts (a) through (d) below.

a)	How far has the object fallen?
b)	How fast is it traveling?
c)	What is its acceleration?
d)	Explain the meaning of the second derivative of this free-fall function.

b) An accessories company finds that the cost, in dollars, of producing x belts is given by C(x)=720+31x−0.061x2.

Find the rate at which average cost is changing when 180 belts have been produced. And when 180 belts have been produced, the average cost is changing at how much dollar per belt for each additional belt.

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