February 26th, 2010, 07:16 AM  #1 
Newbie Joined: Jun 2009 Posts: 20 Thanks: 0  hard power series questions
So I have a 2 part question dealing with power series. I can get the answer to question 37 doing it with one method, but can't get the answer using another method can someone figure out what is wrong with my logic in the other method? these are the questions 37. a ball is dropped from a height of 4m. each time it strikes the pavement after falling froma height of h meters, it rebounds to a height of .6h m. find the total distance the ball travels up and down. Answer: 16m 38. find the total number of seconds that the ball in exercise 37 travels ( a freely falling ball travels 4.9t^2 meters in t seconds, so it will fall h meters in (h/4.9)^(1/2) seconds. Bouncing from the ground to apex takes the same time as falling from apex to ground) Answer:7.113 seconds. [attachment=0:vvdse6bl]9.1 q 37.png[/attachment:vvdse6bl] 
February 26th, 2010, 11:11 AM  #2 
Senior Member Joined: Mar 2007 Posts: 428 Thanks: 0  Re: hard power series questions
You have an infinite geometric series: 4 + 4(.6) + 4(.6)^2 + 4(.6)^3 + .... There is a standard formula for calculating that series. 
February 26th, 2010, 01:54 PM  #3 
Newbie Joined: Jun 2009 Posts: 20 Thanks: 0  Re: hard power series questions
sorry, the question number on the piece of paper should have been 38. my question is why you cant use the first method on the attached image, to solve question 38.

February 26th, 2010, 06:34 PM  #4 
Newbie Joined: Jun 2009 Posts: 20 Thanks: 0  Re: hard power series questions
can someone help plz?


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