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ID: 2829414 • Letter: Q
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Roger runs a marathon. His friend Jeff rides behind him on a bicycle and clocks his speed every 15 minutes. Roger starts out strong, but after an hour and a half he is so exhausted that he has to stop. Jeffs data follows. Assuming that Roger's speed is never increasing, give upper and lower estimates for the distance Roger ran during the first half hour. Give upper and lower estimates for the distance Roger ran in total during the entire hour and a half. How often would Jeff have needed to measure Roger's speed in order to find lower and upper estimates within 0.1 mile of the actual distance he ran? The figure gives your velocity during a trip starting from home. Positive velocities take you away from home and negative velocities take you toward home. When are you farthest from home? Approximately how far away are you at that time? Approximately where are you at the end of the 10 hours? O 0 km from home Two cars travel in the same direction along a straight road. The figure below shows the velocity, v, of each car at time t. Car B starts 2 hours after car A and car B reaches a maximum velocity of 42 km/hr. For approximately how long does each car travel? Estimate car A's maximum velocity, Approximately how far does each car travel? Two cars start at the same time and travel in the same direction along a straight road. The figure below gives the velocity, v, of each car as a function of time, t. Which car attains the larger maximum velocity, and how do you know? because the area under its velocity curve is smaller. because the peak of its velocity curve is higher. because its velocity curve hits zero first. because the area under its velocity curve is larger. because the peak of its velocity curve is lower. because its velocity curve hits zero second. Which car stops first, and how do you know? because the area under its velocity curve is smaller. because the peak of its velocity curve is higher. because its velocity curve hits zero first. because the area under its velocity curve is larger. because the peak of its velocity curve is lower. because its velocity curve hits zero second. Which car travels farther, and how do you know? because the area under its velocity curve is smaller. because the peak of its velocity curve is higher. because its velocity curve hits zero first. because the area under its velocity curve is larger. because the peak of its velocity curve is lower. because its velocity curve hits zero second.Explanation / Answer
1.
(a)
10 miles
11.25 miles
(b)
9.25 miles
15 miles
2.
(a)t = 6 s
(b)option D:450km
(c)option C:325 km
3.
(a)
car A: 8hr
car B : 4 hr
(b)
84 km/hr
(c)
car A: 336 km
car B: 84 km
4.
(a) B
(b)C
(c)D
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