Amusing Problems
Hackensack
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It's early in the morning as Dr. J tries his hand at milking a new breed of cow. He chooses one named Hackensack. (Yes, he's milking Hackensack, the new Jersey.) However, Hackensack fails to realize how much pull Dr. J has and she reacts oddly. Every time Dr. J milks her, she has trouble with her moo. It sounds like "M-m-m-moo" (a sort of udder-stutter, you might say). Finally, she can't take it any longer. Starting from rest, she accelerates at 2 m/sec
^{2}
for 4 seconds out the barn door. She then runs at a constant velocity for 5 minutes until Dr. J succeeds in throwing a rope around her neck, after which she slows down at a rate of 1 m/sec
^{2}
. When the ordeal is over, Dr. J admits that it was a
moo
ving experience indeed.
A. Make a sketch showing the shape of the distance-time graph of Hackensack's trip.
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B. Make a sketch showing the shape of the velocity-time graph of Hackensack's trip.
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C. What was the total distance traveled by Hackensack?
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