The total distance traveled by the ball before it finally comes to rest will be 50 m.
Distance is a numerical representation of the distance between two objects or locations.
The distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.
The first drop makes the ball travel 10 m.
Then the maximum height decreases to 16 x 0.81 = 12.96m
If we make a pattern, this forms a geometric progression in which the common ratio is 0.6 and the first term is 10.
The sum of this series will be;
[tex]\rm \sum d= \frac{a}{1-r} \\\\ \sum d= \frac{10}{1-0.6} \\\\ \sum d= 25 m[/tex]
This is the upward height, and the ball returns every time so:
Total distance = 25 x 2= 50
Hence the total distance traveled by the ball before it finally comes to rest will be 50 m.
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