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A ball is tossed upward from a tall building, and its upward velocity V, in feet per second, is a function of the time t, in seconds, since the ball was thrown. The formula V = 40 - 32t if we ignore air resistance. The function V is positive when the ball is rising and negative when the ball is falling. (a) Express using functional notation the velocity 1 second after the ball is thrown, and then calculate that value. ft per sec Is the ball rising or falling then? O Because the upward velocity is positive, the ball is rising. O Because the upward velocity is positive, the ball is falling. O Because the upward velocity is negative, the ball is rising. Because the upward velocity is negative, the ball is falling. (b) Find the velocity 2 seconds after the ball is thrown. ft per sec Is the ball rising or falling then? O Because the upward velocity is positive, the ball is rising. Because the upward velocity is positive, the ball is falling. O Because the upward velocity is negative, the ball is rising. O Because the upward velocity is negative, the ball is falling. (c) what is happening 1.25 seconds after the ball is thrown? O The velocity is 0; the ball is falling off the building. The velocity is 0; the ball is resting on the ground. O The velocity is 0; the ball is at the peak of its flight. O The velocity is 0; the ball is resting on the building.

A ball is tossed upward from a tall building, and its upward velocity V, in feet per second, is a function of the time t, in seconds, since the ball was thrown. The formula V = 40 - 32t if we ignore air resistance. The function V is positive when the ball is rising and negative when the ball is falling. (a) Express using functional notation the velocity 1 second after the ball is thrown, and then calculate that value. ft per sec Is the ball rising or falling then? O Because the upward velocity is positive, the ball is rising. O Because the upward velocity is positive, the ball is falling. O Because the upward velocity is negative, the ball is rising. Because the upward velocity is negative, the ball is falling. (b) Find the velocity 2 seconds after the ball is thrown. ft per sec Is the ball rising or falling then? O Because the upward velocity is positive, the ball is rising. Because the upward velocity is positive, the ball is falling. O Because the upward velocity is negative, the ball is rising. O Because the upward velocity is negative, the ball is falling. (c) what is happening 1.25 seconds after the ball is thrown? O The velocity is 0; the ball is falling off the building. The velocity is 0; the ball is resting on the ground. O The velocity is 0; the ball is at the peak of its flight. O The velocity is 0; the ball is resting on the building.

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:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.4: Functions Given By Words
Problem 6E
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A ball is tossed upward from a tall building, and its upward velocity V, in feet per second, is a function of the time t, in seconds, since the ball was thrown. The formula is V = 40 - 32t if we ignore air resistance. The function V is positive when the ball is rising and negative when the ball is falling. (a) Express using functional notation the velocity 1 second after the ball is thrown, and then calculate that value. ft per sec Is the ball rising or falling then? O Because the upward velocity is positive, the ball is rising. O Because the upward velocity is positive, the ball is falling. O Because the upward velocity is negative, the ball is rising. O Because the upward velocity is negative, the ball is falling. (b) Find the velocity 2 seconds after the ball is thrown. ft per sec Is the ball rising or falling then? O Because the upward velocity is positive, the ball is rising. O Because the upward velocity is positive, the ball is falling. O Because the upward velocity is negative, the ball is rising. O Because the upward velocity is negative, the ball is falling. (c) what is happening 1.25 seconds after the ball is thrown? O The velocity is 0; the ball is falling off the building. O The velocity is 0; the ball is resting on the ground. O The velocity is 0; the ball is at the peak of its flight. O The velocity is 0; the ball is resting on the building. (d) By how much does the velocity change from 1 to 2 seconds after the ball is thrown? ft per sec By how much does the velocity change from 2 to 3 seconds after the ball is thrown? ft per sec By how much does the velocity change from 3 to 4 seconds after the ball is thrown? ft per sec Compare the answers to the last three questions and explain in practical terms. O This means that position of the ball changes by 32 feet for each second that passes. O This means that the velocity increases by 32 feet per second for each second that passes. O This means that the velocity decreases by 32 feet per second for each second that passes. O This indicates that the velocity of the ball is constant at 32 feet per second per second.
Transcribed Image Text:A ball is tossed upward from a tall building, and its upward velocity V, in feet per second, is a function of the time t, in seconds, since the ball was thrown. The formula is V = 40 - 32t if we ignore air resistance. The function V is positive when the ball is rising and negative when the ball is falling. (a) Express using functional notation the velocity 1 second after the ball is thrown, and then calculate that value. ft per sec Is the ball rising or falling then? O Because the upward velocity is positive, the ball is rising. O Because the upward velocity is positive, the ball is falling. O Because the upward velocity is negative, the ball is rising. O Because the upward velocity is negative, the ball is falling. (b) Find the velocity 2 seconds after the ball is thrown. ft per sec Is the ball rising or falling then? O Because the upward velocity is positive, the ball is rising. O Because the upward velocity is positive, the ball is falling. O Because the upward velocity is negative, the ball is rising. O Because the upward velocity is negative, the ball is falling. (c) what is happening 1.25 seconds after the ball is thrown? O The velocity is 0; the ball is falling off the building. O The velocity is 0; the ball is resting on the ground. O The velocity is 0; the ball is at the peak of its flight. O The velocity is 0; the ball is resting on the building. (d) By how much does the velocity change from 1 to 2 seconds after the ball is thrown? ft per sec By how much does the velocity change from 2 to 3 seconds after the ball is thrown? ft per sec By how much does the velocity change from 3 to 4 seconds after the ball is thrown? ft per sec Compare the answers to the last three questions and explain in practical terms. O This means that position of the ball changes by 32 feet for each second that passes. O This means that the velocity increases by 32 feet per second for each second that passes. O This means that the velocity decreases by 32 feet per second for each second that passes. O This indicates that the velocity of the ball is constant at 32 feet per second per second.
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