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 = 48 32t if we ignore air resistance. The function Vis 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.
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 = 48 32t if we ignore air resistance. The function Vis 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.
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
Section11.2: Applications Of Exponential Functions
Problem 45PS
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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 = 48 -32t
if we ignore air resistance. The function Vis positive when the ball is rising and negative when the ball is falling.
AAA
(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.
Transcribed Image Text:(c) What is happening 1.5 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.
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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