Answer:
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.