math
a ball rebounds one half of the height from which it was dropped. The ball is dropped from a height of 160 feet and keeps bouncing. what is the total vertical distance the ball will travel from the moment it is droppedto the moment it hits the floor for the fifth time?
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The total vertical distance the ball will travel from the moment it is dropped to the moment it hits the floor for the fifth time is 1,280 feet. This is because each time the ball is dropped it will bounce back to half of its original height, so the ball will initially drop 160 feet, and then bounce back up 80 feet. On the second bounce, it will drop 80 feet, and then bounce back up 40 feet. This pattern continues until the fifth bounce, after which the ball will drop 5 feet and not bounce back up again, resulting in a total of 160 + 80 + 40 + 20 + 10 + 5 = 1,280 feet.
