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 = 56 - 32r 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. ) = 24 ft per sec Is the ball rising or falling then? 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. -8 ✔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 1.75 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. x G
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 = 56 - 32r 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. ) = 24 ft per sec Is the ball rising or falling then? 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. -8 ✔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 1.75 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. x G
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 = 56 - 32r
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.
])=24
✔ft per sec
Is the ball rising or falling then?
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
8
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.
X
(c) What is happening 1.75 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.
x
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbe07058-fe60-4428-80b6-ab569dc7f355%2F81432c3d-d0f9-4103-9faf-45d7e5df892a%2Fvbw3au7_processed.jpeg&w=3840&q=75)
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 = 56 - 32r
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.
])=24
✔ft per sec
Is the ball rising or falling then?
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
8
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.
X
(c) What is happening 1.75 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.
x
=
Expert Solution
Step 1
The velocity of the ball is given by the function .
When is positive the ball is moving upwards and when is negative the ball is moving downwards.
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