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anonymous

  • 5 years ago

A ball is dropped from a height of 3 ft. The elasticity of the ball is such that it always bounces up one-third the distance it has fallen. (a) Find the total distance the ball has traveled at the instant it hits the ground the fourth time. (Enter your answer as an improper fraction.)

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  1. anonymous
    • 5 years ago
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    is the answer 40/9?

  2. anonymous
    • 5 years ago
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    no that doesnt work

  3. anonymous
    • 5 years ago
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    This how I solved it: Suppose K=1/3 first time d1=3 second time d2=3*K=1 Third time d3=1*k=1/3 Forth time d4=K(1/3)=1/9 Now adding up d1+d2+d3+d4, we get the total distance d=40/9

  4. anonymous
    • 5 years ago
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    Sorry I made a huge mistake. Im gonna correct it

  5. anonymous
    • 5 years ago
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    That looks right to me but my online homework says its wrong...

  6. anonymous
    • 5 years ago
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    ok

  7. anonymous
    • 5 years ago
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    Suppose K=1/3 first time d1=3 second time d2=2*(3*K)=2 Third time d3=2*(2*k)=4/3 Forth time d4=2*K(4/3)=8/9 Now adding up d1+d2+d3+d4, we get the total distance d=65/9. Is that correct. Hopefully yes

  8. anonymous
    • 5 years ago
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    it still says its wrong...?

  9. anonymous
    • 5 years ago
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    What is the correct answer?

  10. anonymous
    • 5 years ago
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    IDK. in my book it gives a similar problem who's answer is 17 8/9

  11. anonymous
    • 5 years ago
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    its the same problem only the ball is dropped from 9 feet instead of 3 ft

  12. anonymous
    • 5 years ago
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    What you mean by 17 8/9?

  13. anonymous
    • 5 years ago
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    the answer is a mixed number

  14. anonymous
    • 5 years ago
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    Convert this number in a decimal number. Cannot remember how to do that!

  15. anonymous
    • 5 years ago
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    ok

  16. anonymous
    • 5 years ago
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    Is 17(8/9) the answer for the problem you have to solve? It doesnt make any sense!

  17. anonymous
    • 5 years ago
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    no that was the answer to a similar problem. I thought if i gave you that answer then it might help you figure out the the problem

  18. anonymous
    • 5 years ago
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    Yeah coz im trying to help you. Or are you challenging me?

  19. anonymous
    • 5 years ago
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    A ball is dropped from a height of 9 ft. The elasticity of the ball is such that it always bounces up one-third the distance it has fallen. (a) Find the total distance the ball has traveled at the instant it hits the ground the fourth time. the answer to this is 17 (8/9)

  20. anonymous
    • 5 years ago
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    But I need the answer for the problem your are solving now dude.

  21. anonymous
    • 5 years ago
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    I dont know the answer to that one thats why im on here!

  22. anonymous
    • 5 years ago
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    I got 53/9

  23. anonymous
    • 5 years ago
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    Convert 65/9 in a mixed number

  24. anonymous
    • 5 years ago
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    53/9 works!

  25. anonymous
    • 5 years ago
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    Convert 211/27 ins a mixed number too

  26. anonymous
    • 5 years ago
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    What formula did you use?

  27. anonymous
    • 5 years ago
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    Can you write down step by step, how you got 53/9?

  28. anonymous
    • 5 years ago
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    You start at 3 fall 3 rise (3 * 1.3) =1 fall 1 rise ( 1 * 1/3) = 1/3 fall 1/3 rise (1/3 * 1/3) = 1/9 fall 1/9 I stop at 1/9 because at fall 1/9 is the 4ht instant I hit the ground. add 3 + 1 + 1 + 1/3 + 1/3 + 1/9 + 1/9 5+ 2/3 + 2/9 5 + 6/9 + 2/9 5 + 8/9 45/9 + 8/9 53/9

  29. anonymous
    • 5 years ago
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    The formula of the the that is droped from 9 ft is 18-(1/3)^n-3. so i assume that the ball droped from 3ft had a similar formula...

  30. anonymous
    • 5 years ago
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    the= ball

  31. anonymous
    • 5 years ago
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    I can derive a formula but it will be hard since you start from the top and you want to know the distance it travels on the fourth hit to the floor.

  32. anonymous
    • 5 years ago
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    ok thats cool. you got the answer right. Thanks!

  33. anonymous
    • 5 years ago
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    btw the formula you use gives you 53/3 not 53/9 for the 4th hit.

  34. anonymous
    • 5 years ago
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    Are you talking about the problem were the ball is droped from 9ft?

  35. anonymous
    • 5 years ago
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    THe way I visualized it was right. However I made a mistake in fraction reduction. Sorry to dissapoint

  36. anonymous
    • 5 years ago
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    Hey its cool man. I appreciate the help!

  37. anonymous
    • 5 years ago
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    OK thanks. I like to help

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