could u plz xpln : Galileo's law of odd numbers .

Asked by shuchi.saumya | 8th Aug, 2010, 12:00: AM

Expert Answer:

Let's cosider a freely falling body and time intervals of 1 sec.
The distance travelled in first interval i.e 1 sec = 1/2 (10) (12)  = 5 m
The distance travelled in second interval i.e. between 2nd second, = distance travelled in 2 seconds - distance travelled in 1st second = 1/2 (10)(4) - 5 = 15 m
Hence we can calculate distance travelled in successive intervals.
Now let's try considering ratio of distances in successive intervals, i.e. 15/5 = 3
Similarly if we proceed and find ratio of distance travelled in 3rd second and 2nd second, we'll get 5.
This is summarized by Galileo's law of odd numbers,
The distances travelled during equal intervals of time, by a body freely falling from rest, stand to one another in the same ratio as the odd numbers begining with unity.

Answered by  | 8th Aug, 2010, 10:10: PM

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