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11 Jun 2020
EXPLORING CONCEPTS
Interpreting Integrals
Two cars with velocities ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/091474613423498/question/0.png?img=b296809da1ef409eed793484513a455f)
and ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/091474613423498/question/1.png?img=162ad273ed25ec874c0f81ab3bd81f93)
(in meters per second) are tested on a straight track. Consider the following integrals.
![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/091474613423498/question/2.png?img=441932d60fb9ceb2706ac608f5350cea)
(a) Write a verbal interpretation of each integral.
(b) Is it possible to determine the distance between the two cars when ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/091474613423498/question/3.png?img=fb64dc4bc7b38e92eda23d6a144ac799)
seconds? Why or why not?
(c) Assume both cars start at the same time and place. Which car is ahead when ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/091474613423498/question/4.png?img=3ca811b0538de939676057be7bab6a95)
seconds? How far ahead is the car?
(d) Suppose Car 1 has velocity ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/091474613423498/question/5.png?img=77354b1fc7957b0a3c46c2929eda9f19)
, and is ahead of Car 2 by 13 meters when ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/091474613423498/question/6.png?img=dc11bd33213c07b9983c93e094215cd1)
seconds. How far ahead or behind is Car 1 when ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/091474613423498/question/7.png?img=eca26957961552962a79aa227e6a5e2d)
seconds?
EXPLORING CONCEPTS
Interpreting Integrals
Two cars with velocities
(a) Write a verbal interpretation of each integral.
(b) Is it possible to determine the distance between the two cars when
(c) Assume both cars start at the same time and place. Which car is ahead when
(d) Suppose Car 1 has velocity
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Joram GuingguingLv10
11 Jul 2020