Answer:
The total vertical distance down the ball has traveled when it hits the ground the fifth time is 19.375 meters
Explanation:
We are given
A ball is dropped from a height of 10 meters
So, first term is 10

Each time it bounces, it reaches 50 percent of its previous height
so,

n=5
now, we can use summation formula

now, we can plug values


So,
The total vertical distance down the ball has traveled when it hits the ground the fifth time is 19.375 meters