A child fills a pail by using a water hose. After finishing, the child plays in a sandbox for a while before tipping the pail over to empty it. If V(t) gives the volume of the water in the pail at time t, then the figure below shows V'(t) as a function of t. At what time does the child: A. Begin to fill the pail? t = B. Finish filling the pail? t = C. Tip the pail over? t = 1.0 20 V (What would the graph of V'(t) look like if the child filled the pail by using a play shovel to repeatedly scoop water from a larger bucket and dump it in the pail instead of using a hose?)

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
Problem 46PQ
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A child fills a pail by using a water hose. After finishing, the child plays in a sandbox for a while before tipping the pail over to empty it. If V(t) gives the volume of the water in the pail at time t, then the figure below
shows V'(t) as a function of t.
At what time does the child:
A. Begin to fill the pail? t =
B. Finish filling the pail? t =
C. Tip the pail over? t
=
1.0
20
V
(What would the graph of V'(t) look like if the child filled the pail by using a play shovel to repeatedly scoop water from a larger bucket and dump it in the pail instead of using a hose?)
Transcribed Image Text:A child fills a pail by using a water hose. After finishing, the child plays in a sandbox for a while before tipping the pail over to empty it. If V(t) gives the volume of the water in the pail at time t, then the figure below shows V'(t) as a function of t. At what time does the child: A. Begin to fill the pail? t = B. Finish filling the pail? t = C. Tip the pail over? t = 1.0 20 V (What would the graph of V'(t) look like if the child filled the pail by using a play shovel to repeatedly scoop water from a larger bucket and dump it in the pail instead of using a hose?)
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