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smileyfacer50
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Homework Statement
This graph depicts the velocity (measured in ft/min) of a baby crawling back and forth between two parents (suppose they are sitting on the x-axis) for the first fifteen minutes of a lengthy crawl. Use this graph to answer the following questions, using correct units.
1. What was the baby's acceleration at t = 1 minute?
2. Assuming that the baby began its trek at the origin at exactly 9:10AM, at what time(s) did the baby change direction? Your answer(s) should be exact times, including seconds if appropriate.
3. Assuming again, that the baby started at the origin, give the location of the baby at t = 10 minutes.
4. Give the average velocity of the baby on the interval [0,15]. Show how you used calculus to find your solution.
5. At what time(s) is the baby the furthest from its starting point? Explain your answer using calculus.
Homework Equations
The points given on the graph are: (0,0) , (7,5) , (10,5) , (12,-10) & (15,0) The graph goes up between (0,0) and (4,15). Down from (4,15) to (7,5). Flat from (7,5) to (10,5). Down from (10,5) to (12,-10). Up from (12,-10) to (15,0). The x-axis goes by 1s and is from 0 - 15. The y-axis goes by 5s and is from -15 to 15.
The graph cross the x-axis at about 10 minutes at 45 seconds and again at 15 minutes.
The Attempt at a Solution
I didn't know where to start for any of them...