Respuesta :
Answer:
The total vertical distance down the ball has traveled when it hits the ground the fifth time is 19.375 meters
Step-by-step explanation:
We are given
A ball is dropped from a height of 10 meters
So, first term is 10
[tex]a_1=10[/tex]
Each time it bounces, it reaches 50 percent of its previous height
so,
[tex]r=0.50[/tex]
n=5
now, we can use summation formula
[tex]S_n=a_1(\frac{1-r^n}{1-r} )[/tex]
now, we can plug values
[tex]S_5=10(\frac{1-(0.5)^5}{1-0.5} )[/tex]
[tex]S_5=19.375[/tex]
So,
The total vertical distance down the ball has traveled when it hits the ground the fifth time is 19.375 meters
