Question

I just need an equation for this problem please??

Answer 1

A ball is dropped from the top of a 1,000 foot building. The height of the ball is half its original height after each bounce.

Part 1: What will the height of the ball be after 10 bounces? (4 points)

Part 2: Using complete sentences, explain the procedure taken to answer this question. (4 points)

Answer 2

@Kainui

Answer 3

@iambatman @IMStuck

Answer 4

@Australopithecus

Answer 5

let x = the number of bounces the ball has gone through, where x=0 is the first bounce.
let b = the max height of the ball after its first bounce
let y = the height of the ball after x +1 number of bounces.

b*(1/2)^x = y

Answer 6

There that makes sense to me but I'm half asleep so ensure it makes sense to you. You can always graph it or sub numbers into it to prove it to yourself pretty sure this function is exponential

Answer 7

so there's no like arithmetic or geometric equation i could use for this, it should be created?

Answer 8

Well if its height is divide by 1/2 every time it bounces then it is exponential.

Answer 9

okay thank you so much lol

Answer 10

I know it's like 9 hours later and I'm a little late on this one....but I got an equation of\[y=1000(\frac{ 1 }{ 2 })^{x}\]and it works every time. That's your equation. I figured it from using the formula for a geometric sequence, since in reality, this is what this is.

Answer 11

IMStuck It is dropped from a 1000ft building, its maximum height is not 1000 feet unless this is some strange universe where the second law of thermodynamics doesn't exist

Answer 12

I mean the maximum height the ball bounces up

Answer 13

the variable b is something that you cannot determine unless you make assumptions about the ball being dropped and the conditions of the place it is being dropped, not enough information is provided in this equation to assign a b, unless you want to make assumptions, which is unnecessary for this question.