An empty champagne bottle is tossed from a hot-air balloon. Its upwards velocity is measured every second and recorded in the table below: t (sec) 0 1 2 3 4 5 (ft/sec) 34 2-30-62-94-126 a) Find a formula for the velocity of the bottle as a function of the time since the bottle is tossed. U= b) For each feature of the graph listed below, match one of the statments A-G which best explains its practical meaning. 1. The f-intercept. 2. The slope 3. The U-intercept. A. The maximum height the bottle reaches. B. How long it takes for the bottle to hit the ground. C. How fast the bottle is initially tossed upwards. D. The velocity of the bottle when it hits the ground. E. How high the balloon is when the bottle is first tossed. F. How long after tossing the bottle it starts to fall downwards. G. How much the velocity of the bottle decreases every second.
An empty champagne bottle is tossed from a hot-air balloon. Its upwards velocity is measured every second and recorded in the table below: t (sec) 0 1 2 3 4 5 (ft/sec) 34 2-30-62-94-126 a) Find a formula for the velocity of the bottle as a function of the time since the bottle is tossed. U= b) For each feature of the graph listed below, match one of the statments A-G which best explains its practical meaning. 1. The f-intercept. 2. The slope 3. The U-intercept. A. The maximum height the bottle reaches. B. How long it takes for the bottle to hit the ground. C. How fast the bottle is initially tossed upwards. D. The velocity of the bottle when it hits the ground. E. How high the balloon is when the bottle is first tossed. F. How long after tossing the bottle it starts to fall downwards. G. How much the velocity of the bottle decreases every second.
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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Transcribed Image Text:An empty champagne bottle is tossed from a hot-air balloon. Its upwards velocity is measured every second and recorded in the table
below:
t (sec) 0 1 2 3 4 5
(ft/sec) 34 2-30-62-94-126
a) Find a formula for the velocity of the bottle as a function of the time since the bottle is tossed.
U=
b) For each feature of the graph listed below, match one of the statments A-G which best explains its practical meaning.
1. The f-intercept.
2. The slope
3. The U-intercept.
A. The maximum height the bottle reaches.
B. How long it takes for the bottle to hit the ground.
C. How fast the bottle is initially tossed upwards.
D. The velocity of the bottle when it hits the ground.
E. How high the balloon is when the bottle is first tossed.
F. How long after tossing the bottle it starts to fall downwards.
G. How much the velocity of the bottle decreases every second.
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