Question

A ball is dropped from 74 feet and bounces to 5/8 of its height each time. How far will it travel by the time it comes to rest?

Answer 1

It's a geometric series. Maybe you have some idea of how to find the sum of one.

Answer 2

@agent0smith

a1 (1-r^n)/(1/r)

74 (1-5/8^n)/(1/r)

Answer 3

Do you know how to find n though?

Answer 4

wait..... OHHHHHHHHHHHHHHH

Answer 5

lol I get it, is this an infinite geometric series?

Answer 6

74/ 1-5/8???

Answer 7

@agent0smith

Answer 8

You might want to draw it out. You're on the right track though... but a ball bounces up and then falls back down

Answer 9

so the answer is 197.33 feet right?

Answer 10

is that correct?

Answer 11

@agent0smith

Answer 12

Draw it out, like a bouncing ball, and you might see what you're missing.

Answer 13

please, I don't have a lot of time and I don't want to spend a lot of time on ONE question

Answer 14

May you please just tell me if this answer is correct or not

Answer 15

if not please just give me the EQUATION

Answer 16

Well, I'm about to go to bed, and your answer is wrong. There isn't a particular equation.

Answer 17

please try to explain it the shortest way possible (because when you started talking about drawing a ball or something, bro I know there's a shorter way)

Answer 18

Because that's how you figure it out for yourself - drawing out the path.

Answer 19

Sorry I know i'm being rude since i'm asking for help but as you can see this is a close question so i'm not that desperate so PLEASE give me a shortcut or no thanks I don't need a lecutre

Answer 20

all right well no that's I don't need a lecture, sorry i'm really busy

Answer 21

Don't use 74 as the first term. Add that at the very end.

The first term of the infinite series should be the first bounce height. Find the infinite sum for that. Then... keep in mind it bounces up AND down.

Answer 22

I have no idea but whatever, i'll figure this out later

Answer 23

https://www.youtube.com/watch?v=tqTJZEglrvc

Look at how he does this. All I did was google "how to find the distance travelled by a bouncing ball"

Answer 24

btw, there isn't a shortcut for these. This is how I solved these kind of problems the first time I did them.