A ball is dropped from a height of 10 meters. Each time it bounces, it reaches 50% of its previous height. The total vertical distance down the ball has traveled when it hits the the 5th time is how many meters

28.75 m.

Step-by-step explanation:

It is given that a  ball is dropped from a height of 10 meters. Each time it bounces, it reaches 50% of its previous height. So,

For first bounce the vertical distance

For next bounce ball has to travel up and down by 50% of previous distance, i.e., 10 m.

For second bounce the vertical distance

Similarly,

For third bounce the vertical distance

For fourth bounce the vertical distance

For fifth bounce the vertical distance

The total vertical distance down the ball has traveled when it hits the the 5th time is

Therefore, the total vertical distance  down the ball has traveled when it hits the the 5th time is 28.75 m.

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step-by-step explanation: