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Answer: 66 Meters. Just had that same problem on a math mates worksheet.

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Q: If a ball is dropped at a height of 24 meters with each bounce the ball reaches the height that is half the height of the previous bounce how far does the ball travel by the time it comes to rest?
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How do geometric sequences apply to a bouncing ball?

The ball does not return to its initial height after bouncing. So the height it reaches after the first bounce will be a fraction of the initial height, etc. This is a geometric sequence with common ratio 5/8.


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A graph titled Average plant height (cm) vs. Concentration of sodium phosphate (mgL) shows an upward-sloping line that reaches a maximum value and then stays there over the remainder of the graph. Wha?

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A ball is dropped from a height of 10m if it rebounds approximately half the distance after each fall use a geometric series to approximate the total distance the ball travels before coming to rest?

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Related questions

A ball is dropped from height of 24m. With each bounce the ball reaches a height that is half its previous bounce. How far has the ball traveled by the time it comes to rest?

72 meter


If a ball is dropped from a height of 24 m and with each bounce the ball reaches a height that is half the height of the previous bounce how far has the ball traveled by the time it comes to rest?

72 meters


Does the height effect the bounce of the ball?

Yes, assuming the ball has elasticity and you haven't exceeded the height where the ball, when dropped, reaches terminal velocity.


Is the height of a ball bounce affected by the height from which the ball is dropped?

Yes - the greater the height an item dropped the resulting bounce is higher


Is the height of the ball's bounce affected by the height from which the ball is dropped?

Yes - the greater the height an item dropped the resulting bounce is higher


Is the height of a ball's bounce affected by the height from which the ball is dropped?

Yes - the greater the height an item dropped the resulting bounce is higher


How does the height a boucny ball is dropped from effect the height it bounces to?

The higher the height the ball is dropped from, the higher the height it will bounce to.


What happens when a penny is dropped from a height of 20 meters?

It falls down. When it reaches a hard bottom it is likely to bounce whereas if it hits water it will sink.


Is the height a ball bounce affected by the height from which the ball is dropped?

Yes.


Is a ball's bounce affected by the height from which it is dropped?

yes


What will be the height of a basketballs bounce if it weighs 6 pounds?

Height of bounce will not depend on the mass at all. It depends on the elasticity of the ball and the height where from it is dropped.


How is he bounce height of a ball related to the drop height?

Yes - the greater the height an item dropped the resulting bounce is higher