Monday, September 26, 2011

Grounded for Life!!

Let's say that someone you know is driving WAY to fast on the freeway (obviously, you persoanlly are much too smart to do anything so foolhardy and dangerous!). Your friend's parents are going to see him driving at 80 mph no matter what. He can't escape getting busted! BUT, from the options below, choose which POV/frame of reference he would want his parents to have so his velocity seems the lowest relative to them.

Choose one by voting in the poll to the right, and add a comment to explain WHY your choice is best...

The parents driving 60 mph toward him (on the other side of the freeway, of course).

The parents driving 60 mph in the same direction on his side of the freeway.

The parents sitting along the freeway watching him drive by. (External)

37 comments:

  1. The poll wont allow me to vote. But for qustion 1 i think the answer is drving toward him and for question 2 i am very excited is my answer.

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  2. I think he would want them to be going in the same direction because in that case, that is the lowest velocity relative to his parents, which is 20mph. The external would be 80mph, and going towards each other would be 140mph.

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  3. Option 2 is the best choice for this situation because if the parents are driving in the same direction as the friend, the relative velocity would be at the lowest point because there is only a 20 mph difference between the two vehicles. If the parents were driving towards him, both cars would be coming towards each other at 140 mph. If the parents are watching him drive by (external), the parents are stationary at 0 mph while he is driving at 80 mph, so there is an 80 mph difference between the two.

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  4. the thing wont let me vote, but i vote going the same direction because to the parents, it will look like their kid is only going 20 mph. this is because you always feel like you're going zero; so, if to them 60=0, then 80= 20mph. it will look like he's going much slower than he actually is. however, if the parents aren't really dumb, they'll realize that he's actually going 80 mph and they will punish him.

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  5. Clearly the right answer is that he would want his parents to be driving in the same direction(b) because a) going in the opposite direction at 60 mph will make it seem like 140 mph (60+80=140) and c) watching externally from the road will make it seem like he is going 80 mph. Going in the same direction will make it seem like he is only going 20 mph because his parents are already going 60 mph (80-60=20). The parents feel like they are at zero and therefore their kid seems like he is going 20 mph because he is going 20 mph faster than them, and 0+20=20 mph.

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  6. i said driving in the same direction because if his parents were watching from the roadside it would just make him look like he is going the full 80 mph. If his parents were driving towards him at 60mph and he is going 80mph that would make it 140mph which will make it seem like he is going faster than 80mph. Additionally, if his parents were driving in the same direction at 60mph the increasing distance between them would be 20mph which would make it seem like he is going 20mph instead of 80.

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  7. I voted for the second choice-same direction- because then it would look like he is driving at 20mph from his parents' POV because his 80mph minus their 60mph equals 20mph. If he was driving toward his parents, then his parents would think he is driving 140mph since his 80mph and his 60mph equals 140mph! If his parents were sitting and watching him externally, then they would see his actual speed, 80 mph...and his parents would not like that.

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  8. He would want to be driving in the same direction because if the parents were watching from the car coming towards them it would be 140 mph which would look ridiculously fast,if they were going the same direction it would look like he was going 20 mph and if the parent was standing roadside it would look like he was going 80.

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  9. He would want to be driving in the same direction because if the parents were going towards each other, the parents would believe that the kid was driving 140 mph. Also, if the parents had an external frame of reference, they would believe that the kid was going 80 mph. However, if the parents were driving in the same direction, due to their velocity and frame of reference, the parents would think the kid was going 20 mph.

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  10. The parents driving 60 mph in the same direction on his side of the freeway would be the best option because then it would be only a 20 mph difference versus 140 mph if they were going towards him and 80 mph if they had an external view.

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  11. To make it seem that he's going at a slower speed then what he actually is, his parents need to be going the same direction he is so as they traveling 60mph and he is traveling 80mph it seems that he is increasing only at a rate of 20mph. On a side note, if they saw him pass by, he would like he was 80mph and even worse if they were heading towards him because then it would seem like 140mph.

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  12. I think answer two is the best choice. In this scenario the kids parents would see him going 20 mph relative to them rather than the full 80 mph. The other scenarios are wrong because if his parents were sitting down on the freeway they would see him going 80 mph and if they were going the opposite direction they would see him going 140 mph.

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  13. I didn't get your second email about explaining it until now. So ill just explain now.
    I would choose option one because although technically it would seem as if they are moving at 140 mph, it is very hard to tell how fast someone is going on the other side of the street. If i was driving 60 mph and some car passes me going 80 mph, i would be like wow he is going fast. But if he was on the other side of the freeway going that fast, i wouldn't even be able to tell how fast he was going relative to me.

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  14. If the kid was driving in the opposite direction of his parents, then the speed the parents would see him going would be 140mph.
    If the kid was driving in the same direction then he would seem like he is going 20mhp.
    If the kid's parents were seeing it from a stopped position then the parents would see the kid going 80 mph.

    The second choice would be much better. The parents would see him going at a slower speed

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  15. The best choice is option two because the speed difference is only twenty miles and if the parents were driving in the same direction they would see him driving 20 miles relative to them. If they were driving at him it would appear as 140 mph and sitting on the side 80 mph.

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  16. I think option 2 is the best way because if one is going in the same direction as another, you both have the same point of reference, so it would be harder to tell if someone was going a lot faster than you (if both are going close to the same mph). If they were watching externally, the parents would just see him zoom by them and going towards each other would be easier to tell because you can see the distance decreasing between the two.

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  17. It would be better if his parents were driving in the same direction as him at 60mph because the 20mph difference will make him look like he is driving slower as to just watching him externally and going the opposite direction. Watching externally would show the parents that their kid is driving at a crazy speed of 80mph. But if they were traveling the opposite direction, he would seem to be going at an even crazier speed of 140 mph.

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  18. The poll would not allow me to vote, but i chose the second option, which is if the parents were driving in the same direction as him. This is the best option because since the parents are driving at 60 mph next to him, their kid would look like he is going the slowest when compared to the other two options

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  19. I can't vote in the poll for some reason! I think that the friend's velocity would seem lowest relative to his parents if they were driving in the same direction as him (option 2). Watching the car externally would cause an 80 mph difference in speeds and driving the opposite direction would cause a 140 mph speed relative to his car. If the parents were driving in the same direction as the friend, there would only be 20 mph distance between them. It's much harder to sense the speed of the friend's car from the perspective behind him than watching him zoom by right before your eyes.

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  20. I think that answer two is the best because if the parents are driving at 60 mph and their son is driving at 80 mph it will seem to them that he is driving 20 mph relative to them, as to them it seems like they are going 0 mph if they are at a constant speed. Answer one is incorrect because if the cars were going towards each other it would seem like he was going 140 mph and if they are watching him from and external point of view they would see that he was going 80 mph.

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  21. Oh and it won't let me vote either for some reason.

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  22. I think the best answer is the second because if the parents are driving at 60 mph and their son is driving at 80 mph it will appear that their son is only driving 20 mph in relation to his parents. If they saw him driving from the external viewing point his parents would see him going 80 mph and if they were coming at each other his parents would be seeing him going 140 mph instead of the true 80 mph.

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  23. The kid would want the parents to be traveling in the same direction because when they are the same way, there is only a 20mph difference between the two cars. If they were going towards him it would be a 140mph difference. finally if they saw him from the roadside it would appear that he was traveling at 80mph
    -Michael Sliskovich

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  24. It would be best if the parents were driving in the same direction. If the parents were driving 60 mph and the friend was driving 80 mph, it would appear that the friend's car was only going 20 mph. If they were both heading toward each other the combined total would be 140 mph. If the parents were standing by the road, they would see the actual speed of 80 mph.

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  25. The kid would want to be travelling in the same direction as his parents because when you are moving (if there is no reference to look at besides his parents car), you seem like you arent moving and going 0mph. Since both the cars do not feel like they are moving, the parents would think that the boy is only going 20mph. If they were going in opposite directions, their speed would be 140.

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  26. I think that the best POV for his parents to see him from is the 2nd option: the parents going 60 mph in the same direction as him. This is the BEST point of view because he is only going 20 mph faster relative to the parents.. In the first option, (where the parents are coming towards him) he seems like he is going 140 mph. In the third option, he seems to be actually going his speed, which is 80.

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  27. He wants the POV/ Frame of Reference of his parents to be driving 60mph in the same direction as him. In fact, if he was driving at 60mph, he would seem to be driving 0mph given the POV of his parents. However, he is driving 80mph while his parents are going 60mph. Thus his parents only see him going the difference which is 20mph given their POV.

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  28. For some reason the poll isn't working but my answer is in the same direction because the difference between speeds would only be 20 mph therefore it would seem to his parents as if he were going only 20 mph, whereas the other POVs would seem to be either 80 mph (sitting on the side) or 140 mph (coming towards).

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  29. The poll isn't allowing me to vote, but I would think that the if the cars were to be going in the same direction, one at 80mph and the other at 60mph. It would seem as though the faster car is going slower. Because the difference between these two speeds would only be 20 mph,therefore the faster car would look as if its only going 20 mph.

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  30. I think that option 2 is the best choice. This is because if his parents were going in the opposite direction, it would seem as if he was going even faster then he really is-- 80+60=140 MPH. However, if his parents were to be traveling in the same direction, it would not seem as if he was going way too fast-- 80-60=20 MPH. Lastly, if his parents were watching him from outside of the car, they would see him speeding at 80 MPH. Therefor, it would be best if his parents were traveling in the same direction at a speed of 60 MPH.

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  31. it wouldnt let me vote on the poll but i think that the first choice is the answer (the parents drive 60 mph towards him i) and for the second question i would go with sure why not

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  32. I voted that the best solution was number 2, driving in the same direction. I beleive this is the best solution because when driving in the same direction, the faster car would only feel 20 MPH to the parent. Because the parent is going 60 MPH and the faster car is going 80 MPH, there is only a 20 MPH difference creating a slower velocity with that POV rather than if they were going in opposite directions, the speed would seem 140 MPH with that POV.

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  33. I would say go the same direction because then in the frame of reference of the parent it only looks as if the kid is 20 miles in front of her, she can't tell the speed of his car, but if they were going in different directions it would seem like he kid is going 104 miles per hour.

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  34. He would want to be heading in the same direction as his parents, because in relativity to his parents, they would only see him as going 20 MPH faster than them. Watching from an external POV, the parents would clearly see that the car was moving at 80 MPH and speeding, and if both cars were heading in the opposite direction there would be a 140 MPH speed difference, making it ever worse than before.

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  35. The parents going 60 mph in the same direction because then the parents would only see it has going 20mph faster than them. But in their perspective they are going 0 mph while he is going 20. If they were going 60 mph towards him it would seem like he was driving 140 mph... not good.

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  36. The second one, because the parents will only see him going 20 miles faster relative to them.

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  37. The second POV would be more beneficial for the parents to see because the boys speed will only look 20 mph. This is because the boy is going 80 while the parents are going 60 which leaves a 20 mph gap.

    Nick Martin

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