Speed of image

2015-01-17 8:45 pm
A boy of height 1.2m is standing in front of a plane mirror. What are the speeds of the image of the boy in the following cases

1. The boy is moving at 1m/s away from the mirror.
2. The mirror is moving at 1m/s away from the mirro.

Tks

回答 (4)

2015-01-17 11:46 pm
✔ 最佳答案
1. 1m/s
2. 2m/s

因為鏡動的時候,Object 和鏡的距離會變,同時 Image 和鏡的距離都會變。
因此,在於 relative speed 的角度(fixed object position),效果是 double 了 speed。

2015-01-17 15:15:11 補充:
Sorry 我以上的解說可能誤導了你少許。

但 Q1 = 1 m/s
  Q2 = 2 m/s 是正確的。

我不應說 relative speed 的概念。

如題目所問,考慮 speed of image 就算。

我教你用方便又易明和易表達的方法做這兩題。

2015-01-17 15:16:15 補充:
Q1
初時
O     M     I

稍後[當1秒後]
  O   M   I

看I的位移,再移時間可知速度 = 1 m/s

2015-01-17 15:17:05 補充:
Q2
初時
O     M     I

稍後[當1秒後]
O   M   I

看I的位移,再除時間可知速度 = 2 m/s
因為位移已經 double 了

相信這樣說你更易明白。

2015-01-17 15:21:53 補充:
意見 006 和 007 都是做了 moving to mirror 和 moving to boy 的情況。

你題目問 moving away,你可以有類似的邏輯分析。

答案也是 1 和 2。

2015-01-17 15:46:02 補充:
Question 1

Original position of object (O), mirror (M) and image (I):
   O   M   I

Position of object (O), mirror (M) and image (I) after 1 s:
 O     M     I

You can see that when O moved for 1 m, I also moved for 1 m.
Therefore the speed of I is 1 m/s.


Question 2

Original position of object (O), mirror (M) and image (I):
   O   M   I

Position of object (O), mirror (M) and image (I) after 1 s:
   O     M     I

You can see that when M moved for 1 m, I moved for 2 m already.
Therefore the speed of I is 2 m/s.

2015-01-17 15:49:29 補充:
土扁師兄,不好意思,剛好撞題了,剛才答題時未見閣下回答,不好意思。
另外,1.2 m 應該是男孩的身高,不是離鏡的距離,因此應該跟本題的計算沒有關係。

Leung,我未曾發問,我也不確定結束帖子的方法,但我聽說發帖後四小時才能夠結案,故此現在還未到時間。

另一方面,你發問的另一帖,有關 clock 和 mirror 那題,由於你沒有說明時鐘和鏡的相對位置,所以無法分析作答。

努力!

2015-01-17 16:22:56 補充:
謝謝你一直都那麼有風度~

另外,發問者已經澄清了時鐘和鏡的位置。

謝謝。
2015-01-18 12:19 am
刪 除 了 , 祝 愉 快 !
2015-01-17 9:32 pm
Boy 同 mirror 都係實體,但 image 就唔係,如咬文嚼字,speed of image 等同 speed of light,如光速是無限快,那麼speed of image 都係無限快。
2015-01-17 8:59 pm
How about Q1, boy moving away from mirror at 1m/s, image is also moving away from boy at 1m/s, will it be 2m/s in Q1 ??

2015-01-17 15:15:26 補充:
Thanks, but is the answer for the below link is similar to my post ??

https://answers.yahoo.com/question/index?qid=20090708141034AA8K0Dr

2015-01-17 15:30:17 補充:
Great Tks.

First time to use this this forum. How to mark the question and end it ? Tks


收錄日期: 2021-04-15 18:03:44
原文連結 [永久失效]:
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