Throwing a Stone (Refer to Example 9.) A stone isthrown downward with a velocity of 66 feet per sec-ond (45 miles per hour) from a bridge that is 120 feetabove a river, as illustrated in the figure.(a) Write a formula s(1) that models the height ofthe stone after i seconds.(b) Does the stone hit the water within the first2 seconds? Explain.120 f

Given: A stone is thrown downward with a velocity of 66 feet per second45 miles per hourfrom a…

Answered: Throwing a Stone (Refer to Example 9.)…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.7: Polynomial And Rational Inequalities

Problem 57E

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An Uncertain Investment Suppose you invested 1300 in the stock market two years ago. During the first year the value of the stock increased by 12%. During the second year, the value of the stock decreased by 12%. How much money is your investment worth at the end of the two-year period? Did you earn money or lose money? Note: The answer to the first question is not 1300
Mathematical Modeling A funnel is filled with water to a height of h centimeters. The formula t=0.03[125212h52],0h12 represents the amount of time t (in seconds) that it will take for the funnel to empty. Use the table feature of a graphing utility to find the times required for the funnel to empty for water heights of h=0,h=1,h=2,...,h=12centimeters.
Air Temperature As dry air moves upward, it expand and, in so doing, cools at a rate of about 1°C for each 100-meter rise, up to about 12 km. (a) If the ground temperature is 20°C, write a formula for the temperature at height h. (b) What range of temperatures can be expected if an air plane lakes off and reaches a maximum height of 5 km?
Drug Concentration When a drug is administered orally, it takes some time before the blood concentration reaches its maximum level. After that time, concentration levels decrease. When 500 milligrams of procainamide is administered orally, one model for a particular patient gives blood concentration C, in milligrams per liter, after t hours as C=2.65(e0.2te2t) What is the maximum blood-level concentration, and when does that level occur?
TEST YOUR UNDERSTANDING Suppose we start with 9 milligrams of pollutant per liter of water, as in the example. Assume that the cleaning process decreases the concentration of pollutant by 30 each hour. What is the pollutant concentration after each of the first 3 hours? EXAMPLE 1.9 PURIFYING WATER Water that is initially contaminated with a concentration of 9 milligrams of pollutant per liter of water is subjected to a cleaning process. The cleaning process is able to reduce the pollutant concentration by 25 each hour. Let C=C(t) denote the concentration, in milligrams per liter, of pollutant in the water r hours after the purification process begins. Part 1 What is the concentration of pollutant in the water after 3 hours? Part2 Compare the results predicted by the verbal description at the end of each of the first 3 hours with those given by the formula C=90.75t. Part 3 The formula given in part 2 is, in fact, the correct one. Use it to find the concentration of pollutant after 414 hours of cleaning.
Making Models Write an algebraic formula that models the given quantity. The distance d in miles that a car travels in t hours at 60 mi/h.
FaIIing-Body Problems Suppose an object ¡s dropped from a height h0 above the ground. Then its height after t second is given by h=16t2+ h0 , where h ¡s measured in feet. Use this information to solve the problem. A ball is dropped from the top of a building 96 ft tall. How long will it take to fall half the distance to ground level? How long will it take to fall to ground level?

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