Suppose a ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.81h feet. Find the total distance traveled by the ball. Round your answer to two decimal places

Question

surry99 · Answer

Do you see this requires summing a series?

anonymous · Answer

Nope i didnt

anonymous · Answer

Explain?

surry99 · Answer

drops from 16 feet, rebounds to 16(.81) = 12.96, rebounds to 12.96 (.81) = 10.50 and so on.
How can you represent this series>?

anonymous · Answer

Oh

anonymous · Answer

Is it going to be a geometrical serie where r=.81

anonymous · Answer

Are you still there? Can you repesent the series please?

surry99 · Answer

I can but I need you to try first...I will be back on line tonight

anonymous · Answer

Okay i am trying it now but i can't really  see it though

surry99 · Answer

thats ok, keep trying and I can help you tonight

anonymous · Answer

If i have something  i will posted  so you can see.

surry99 · Answer

Sounds great!

anonymous · Answer

Thanks

anonymous · Answer

What i have so far does not  verify the the equality we have above,

surry99 · Answer

16 + 16(.81) + 16 +(.81)^2 + 16 (.81)^3 +...
Assume it is an infinite sum of a geometric series...
How do you get the sum?

anonymous · Answer

16/(1-.81)

anonymous · Answer

?

surry99 · Answer

yes that is correct

anonymous · Answer

Okay therefore the answer will be 84.21 feet

surry99 · Answer

Excellent!