A community for students.
Here's the question you clicked on:
 0 viewing
Babynini
 one year ago
Falling Ball:
When an object is allowed to fall freely near the surface of the earth, the gravitational pull is such that the object falls 16 ft in the first second, 48 ft in the next second, 80ft in the next second, and so on.
a) Find the total distance a ball falls in 6seconds
b) Find a formula for the total distance the ball falls in n seconds
Babynini
 one year ago
Falling Ball: When an object is allowed to fall freely near the surface of the earth, the gravitational pull is such that the object falls 16 ft in the first second, 48 ft in the next second, 80ft in the next second, and so on. a) Find the total distance a ball falls in 6seconds b) Find a formula for the total distance the ball falls in n seconds

This Question is Closed

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0@jtvatsim Whenever you're free! I'll try to work it out on my own until then :)

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Sounds good, be back. :)

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0b) the formula would be a_n=16+(n1)(32)

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0Testing it with a_2 the formula seems to be correct :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got the same thing for b, but 576 for a

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0hmm let's see where I might've messed up a_6=16 +(61)(32) correct yeah?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0to find the 6th term, yes. But I think it's asking for the sum of the first 6 terms

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0oooh, wow. I completely missed that.

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0so i must find a_4 and a_5

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for this one it's easy enough to do that, but there's a formula to find the sum of the first n terms.\[S _{n}=\frac{ n }{ 2 }(a _{1}+a _{n})\]

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0hm but I should probably use that formula you just used because the prof introduced it to us.

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0so we have s_6=(6/3)(16+176) =3(192) =576

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0Fantastic! thank you so much :)

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0oh wait! @peachpi the b) asks "TOTAL distance the ball falls at n seconds"

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0my formula is not for the sum

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0Right? So the formula would actually be s_n=(n/2)(16+a_n)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0right, and you'd so substitute the formula for the nth term for a_n

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If you need an explicit formula

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0ok, it just asks for a formula that could generate any nth term.

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0Er, should I put the formula to find a_n and also the formula for finding the sums?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so I think what they're asking is for a formula where you would just stick in the n value and get the sum. Sn = 3(16 + a_n) but since we know a_n = 16+(n1)(32) Sn = 3(16 + 16+(n1)(32))

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0does that make sense? can't really think of a right way to say it

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0you mean sn=n/6(16+(n1)(32)) (not ^3)

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0ahh yes I see what you did.

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0thanks, phew. That was close. I almost put the wrong formula xP

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0Sn = (n/2)(16 + 16+(n1)(32)) is the final formula?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes. I mean you can do some algebra to make it prettier, but it's correct

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0oh o.0 we should probably make it prettier.. hah

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0sn=(n/2)(16+512(n1)) is that still correct? and simplified enough?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0keep going until you get a quadratic, so distribute 512 and combine like terms

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433989465521:dw

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0aiai too simplified we never did that in class hrm

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0maybe up to the second thing you did

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0ah ok. I think thats simplified enough o.0
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.