Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN: 9781337111348
Author: Bruce Crauder, Benny Evans, Alan Noell
Publisher: Cengage Learning
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Chapter 6.4, Problem 3E

Reminder Round all answers to two decimal places unless otherwise indicated.

Looking Up The constant g 32 feet per second per second is the downward acceleration due to gravity near the surface of the Earth. If we stand on the surface of the Earth and locate objects using their distance up from the ground, then the positive direction is up, so down is the negative direction. With this perspective, the equation of change in velocity for a freely falling object would be expressed as

d V d t = g .

(We measure upward velocity V in feet per second and time t in seconds.) Consider a rock tossed upward from the surface of the Earth with an initial velocity of 40 feet per second upward.

a. Use a formula to express the velocity V V ( t ) as a linear function. (Hint: You get the slope of V from the equation of change. The vertical intercept is the initial value.)

b. How many seconds after the toss does the rock reach the peak of its flight? (Hint: What is the velocity of the rock when it reaches its peak?)

c. How many seconds after the toss does the rock strike the ground? (Hint: How aces me time it takes for the rock to rise to its peak compare with the time it takes for it to fall hack to the ground?)

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Chapter 6 Solutions

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Ch. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Velocity What is the rate of change in directed...Ch. 6.1 - Sign of VelocityWhen directed distance is...Ch. 6.1 - Sign of VelocityWhen the graph of directed...Ch. 6.1 - Constant VelocityWhen velocity is constant, what...Ch. 6.1 - Constant Velocity When the graph of directed...Ch. 6.1 - Prob. 6SBECh. 6.1 - Prob. 7SBECh. 6.1 - Prob. 8SBECh. 6.1 - Prob. 9SBECh. 6.1 - Prob. 10SBECh. 6.1 - Change in Direction A graph of directed distance...Ch. 6.1 - Prob. 12SBECh. 6.2 - Prob. 1ECh. 6.2 - Reminder Round all answers to two decimal places...Ch. 6.2 - Reminder Round all answers to decimal places...Ch. 6.2 - Reminder Round all answers to decimal places...Ch. 6.2 - Reminder Round all answers to decimal places...Ch. 6.2 - Reminder Round all answers to decimal places...Ch. 6.2 - Reminder Round all answers to decimal places...Ch. 6.2 - Prob. 8ECh. 6.2 - Reminder Round all answers to decimal places...Ch. 6.2 - Prob. 10ECh. 6.2 - Prob. 11ECh. 6.2 - ReminderRound all answers to two decimal places...Ch. 6.2 - Reminder Round all answers to two decimal places...Ch. 6.2 - ReminderRound all answers to two decimal places...Ch. 6.2 - Prob. 15ECh. 6.2 - Prob. 16ECh. 6.2 - Prob. 17ECh. 6.2 - Prob. 18ECh. 6.2 - SKILL BUILDING EXERCISES Marginal Cost: Let C(n)...Ch. 6.2 - SKILL BUILDING EXERCISES Marginal Profit: Your...Ch. 6.2 - SKILL BUILDING EXERCISES Buying for the Short...Ch. 6.2 - SKILL BUILDING EXERCISES Buying a company: You are...Ch. 6.2 - Meaning Of Rate Change: What is the common term...Ch. 6.2 - A Mathematical Term: If f=f(x), then we use dfdx...Ch. 6.2 - Sign of the Derivative: Suppose f=f(x). What is...Ch. 6.2 - Prob. 8SBECh. 6.2 - Prob. 9SBECh. 6.2 - Prob. 10SBECh. 6.2 - Prob. 11SBECh. 6.2 - Prob. 12SBECh. 6.2 - Prob. 13SBECh. 6.2 - Prob. 14SBECh. 6.2 - Prob. 15SBECh. 6.2 - Prob. 16SBECh. 6.3 - ReminderRound all answers to two decimal places...Ch. 6.3 - ReminderRound all answers to two decimal places...Ch. 6.3 - Reminder Round all answers to two decimal places...Ch. 6.3 - Reminder Round all answers to two decimal places...Ch. 6.3 - ReminderRound all answers to two decimal places...Ch. 6.3 - ReminderRound all answers to two decimal places...Ch. 6.3 - ReminderRound all answers to two decimal places...Ch. 6.3 - Prob. 8ECh. 6.3 - Prob. 9ECh. 6.3 - Prob. 10ECh. 6.3 - ReminderRound all answers to two decimal places...Ch. 6.3 - Prob. 12ECh. 6.3 - Rate of Change for a Linear Function If f is the...Ch. 6.3 - Rate of Change for a Linear Function If f is the...Ch. 6.3 - Rate of Change from Data Suppose f=f(x) satisfies...Ch. 6.3 - Rate of Change from Data Suppose f=f(x) satisfies...Ch. 6.3 - Prob. 5SBECh. 6.3 - Prob. 6SBECh. 6.3 - Estimating Rates of Change By direct calculation,...Ch. 6.3 - Estimating Rates of Change with the CalculatorMake...Ch. 6.3 - Prob. 9SBECh. 6.3 - Prob. 10SBECh. 6.3 - Prob. 11SBECh. 6.3 - Prob. 12SBECh. 6.3 - Prob. 13SBECh. 6.3 - Prob. 14SBECh. 6.4 - ReminderRound all answers to two decimal places...Ch. 6.4 - Reminder Round all answers to two decimal places...Ch. 6.4 - Reminder Round all answers to two decimal places...Ch. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - Prob. 9ECh. 6.4 - Prob. 10ECh. 6.4 - Prob. 11ECh. 6.4 - Prob. 12ECh. 6.4 - Prob. 13ECh. 6.4 - Prob. 14ECh. 6.4 - Prob. 1SBECh. 6.4 - Prob. 2SBECh. 6.4 - Prob. 3SBECh. 6.4 - New Equation of Change? The tax liability T in...Ch. 6.4 - Prob. 5SBECh. 6.4 - Prob. 6SBECh. 6.4 - Prob. 7SBECh. 6.4 - Prob. 8SBECh. 6.4 - Prob. 9SBECh. 6.4 - Prob. 10SBECh. 6.4 - A Leaky BalloonA balloon leaks air changes volume...Ch. 6.4 - Prob. 12SBECh. 6.4 - Solving an Equation of Change Solve the equation...Ch. 6.4 - Prob. 14SBECh. 6.4 - Filling a Tank The water level in a tank rises...Ch. 6.4 - Solving an Equation of Change Solve the equation...Ch. 6.5 - Reminder Round all answers to two decimal places...Ch. 6.5 - Prob. 2ECh. 6.5 - Prob. 3ECh. 6.5 - Prob. 4ECh. 6.5 - Prob. 5ECh. 6.5 - Prob. 6ECh. 6.5 - Prob. 7ECh. 6.5 - Prob. 8ECh. 6.5 - Prob. 9ECh. 6.5 - Prob. 10ECh. 6.5 - Prob. 11ECh. 6.5 - Prob. 12ECh. 6.5 - Prob. 13ECh. 6.5 - Prob. 1SBECh. 6.5 - Prob. 2SBECh. 6.5 - Prob. 3SBECh. 6.5 - Prob. 4SBECh. 6.5 - Prob. 5SBECh. 6.5 - Prob. 6SBECh. 6.5 - WaterWater flows into a tank, and a certain part...Ch. 6.5 - Prob. 8SBECh. 6.5 - Prob. 9SBECh. 6.5 - Prob. 10SBECh. 6.5 - Prob. 11SBECh. 6.5 - Prob. 12SBECh. 6.5 - Equation of ChangeFor the equation of change...Ch. 6.5 - Prob. 14SBECh. 6.CR - Prob. 1CRCh. 6.CR - Prob. 2CRCh. 6.CR - Prob. 3CRCh. 6.CR - Prob. 4CRCh. 6.CR - Prob. 5CRCh. 6.CR - Prob. 6CRCh. 6.CR - Prob. 7CRCh. 6.CR - Prob. 8CRCh. 6.CR - Prob. 9CRCh. 6.CR - Prob. 10CRCh. 6.CR - Prob. 11CRCh. 6.CR - Prob. 12CRCh. 6.CR - Prob. 13CRCh. 6.CR - Prob. 14CRCh. 6.CR - Prob. 15CRCh. 6.CR - Prob. 16CRCh. 6.CR - Prob. 17CRCh. 6.CR - Prob. 18CRCh. 6.CR - Reminder Round all answers to two decimal places...Ch. 6.CR - Prob. 20CR
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