Wednesday, December 31, 2014

Graph it!

12 comments:

  1. Im thinking the answer is b? Just because the acceleration would be at a max when the car is following a straight path rather than a curve. To be honest Im not 100% sure.
    - Rachel Rha

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  2. I think the answer is E. The question says that the car travels at a constant speed. This means that there would be zero acceleration, a minimum. I know, though, that a turn cannot be completed without some acceleration, a maximum. At this point, I narrowed it down to A and E. I noticed that A showed that the car was accelerating from point a until point c. It only accelerates during the curve, however. E shows this as it only accelerates from a to b. In conclusion, E must be the answer.

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  3. Since it is driving at a constant speed, I think the answer would be e). Since the car is traveling in a circle, there must be a centripetal acceleration acting on the car at certain points. I don't think the car is acceleration during segment BC because it it a straight line, but it is accelerating at AB because it is a corner (again someone please correct me if I'm wrong). Graph e) best demonstrates my reasoning.

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  4. This question is very confusing to me because since it says it is traveling at a constant velocity, my first instincts want to say that the answer would be D because acceleration is always zero if velocity is constant. However, I feel as if I'm missing something. After reading the previous comments I am still confused. It does make some sense what Sydnee said about centripetal acceleration around the corners but I still don't understand if that would change the velocity or not. If the driver maybe took his foot off the gas to take the turn and then the centripetal force kept him moving at the same speed does that count as acceleration? If that is acceleration then I agree that E would be the correct answer, but if not I suppose it could still be D. Is there anyone who can clear this up for me?

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  5. Graph B demonstrates my reasoning best because at the points, A,C,E, and G, the magnitude of acceleration would have to slow down so the car can make the turn so it would have to be at a minimum, then at points B,D,F, and H, the magnitude of acceleration can be at a maximum, since the car will be going straight it can speed up more.

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  6. I agree with Jenny. I thought the answer was D too until looking at the other comments and seeing one about centripetal acceleration. E makes sense when thinking about this because the acceleration would be constant when not in a circle but at points A to B, C to D, E to F, and G to H there is a circular motion so there is a centripetal force. I am just confused on the acceleration aspect of the centripetal force. I think the answer is either D or E depending on that centripetal acceleration being a factor or not.

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  7. I agree with others that graph e supports this situation the best. I feel when the car is travelling in a circular motions (not necessarily a circle, but even just a part of one) it has a centripetal acceleration, but when the car is travelling straight there cannot be any forces resulting in centripetal acceleration. I feel that is why the graph shows different accelerations at different times.

    Emma H.

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  8. Because the car travels at a constant speed, this means that it would have no acceleration on the straight segments. However, when it travels around the curved sections, the car does have a centripetal acceleration. Therefore, the correct answer to the question is E.

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  9. When the car is on a straight away, there is no acceleration, However, on the turns, centripetal acceleration is present. Therefore e is the best choice since the car's velocity is constant but centripetal acceleration is changing. -Kelly Glenn

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  10. Like Jenny, I was also confused at first. once is saw the phrase "constant velocity" I assumed the answer was D, but after reading Sydnee's comment about centripetal acceleration I realized this makes sense as well. the car would have to have a centripetal acceleration in order to complete the turn, making the answer E.\

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  11. I believe the best answer would have to be E. On the straight parts the car's constant velocity results in no acceleration. However, on the curved parts, there is centripetal acceleration which is needed in order for the car to make the turn.

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  12. I agree with most that the best selection is E. There needs to be a constant velocity (and no acceleration) on the straight parts of the motion. However on the curved parts, there must be an acceleration in order for the car to complete the curve successfully.

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