d) By how much does the velocity change from 1 to 2 seconds after the ball is thrown? By how much does the velocity change from 2 to 3 seconds after the ball is thrown? By how much does the velocity change from 3 to 4 seconds after the ball is thrown?
d) By how much does the velocity change from 1 to 2 seconds after the ball is thrown? By how much does the velocity change from 2 to 3 seconds after the ball is thrown? By how much does the velocity change from 3 to 4 seconds after the ball is thrown?
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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(d) By how much does the velocity change from 1 to 2 seconds after the ball is thrown?
By how much does the velocity change from 2 to 3 seconds after the ball is thrown?
By how much does the velocity change from 3 to 4 seconds after the ball is thrown?
![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.
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.
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
(d) By how much does the velocity change from 1 to 2 seconds after the ball is thrown?
Xft per sec
By how much does the velocity change from 2 to 3 seconds after the ball is thrown?
X ft per sec
By how much does the velocity change from 3 to 4 seconds after the ball is thrown?
X ft per sec](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbe07058-fe60-4428-80b6-ab569dc7f355%2F9d8080a8-9ca2-4f4a-8842-ae3f5bcc284f%2Fyixya9_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.
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.
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
(d) By how much does the velocity change from 1 to 2 seconds after the ball is thrown?
Xft per sec
By how much does the velocity change from 2 to 3 seconds after the ball is thrown?
X ft per sec
By how much does the velocity change from 3 to 4 seconds after the ball is thrown?
X ft per sec
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