Question

A ball is dropped from a height of 10 meters. Each time it bounces, it reaches 50 percent of its previous height. The total vertical distance the ball has traveled when it hits the ground the fifth time is how many meters?

Answer 1

is 10 or 1/2 the common number trying to fiqure out the equation

Answer 2

You will have a +10 for initial height

Answer 3

so would I be taking away 1/2 after each bounce

Answer 4

It might be 40.

Answer 5

how did you get 40

Answer 6

Uhhhh....hard to explain...

Answer 7

You would be taking 50% away after each, so no

Answer 8

yeah i know thats not right

Answer 9

0.625 could this be correct?

Answer 10

@jim_thompson5910 can you help me?

Answer 11

I did this problem a while back. The problem I did was

"A ball is dropped from a height of 12 meters. Each time it bounces, it reaches 50 percent of its previous height. The total vertical distance the ball has traveled when it hits the ground the 4th time is how many meters?"

and I drew up this image to help visualize what is going on (see attached)

Answer 12

the ball isn't really doing diagonally like that, but it helps you see how the ball is bouncing vertically

Answer 13

so for your problem, it's going to be very similar

at first it goes down 10 ft to hit the ground the first time
then it comes back up 5 ft (5 is 50% of 10)
then it goes down 5 ft to hit the ground the second time
then it bounces up 2.5 ft (2.5 is 50% of 5)
etc etc

Answer 14

so it is 0625?

Answer 15

or am I only suppose to calcuted the ball coming up?

Answer 16

calculate :/

Answer 17

you are calculating the distance it travels when it goes up and down, so both directions

Answer 18

In my drawing, I have the ball going down 12 ft, then it comes back up 6 ft and then goes back down 6 ft

so when it hits the ground for the second time, it has gone 12+6+6 = 24 ft

Answer 19

Thank you

Answer 20

tell me what you get

Answer 21

0.625

Answer 22

incorrect

Answer 23

this may help

Answer 24

I have to include the ball coming up. yes I know was just looking at your diagram

Answer 25

oh wait, one sec

Answer 26

here's a redo

Answer 27

ok

Answer 28

you have to add up all the vertical distances

Answer 29

to get the total distance

Answer 30

10+5+2.5+1.25+0.625=19.375

Answer 31

include both up and down (blue and red)

Answer 32

28.75

Answer 33

correct

Answer 34

are you sure :)

Answer 35

Thank you

Answer 36

I'm sure and yw

Answer 37

:)