A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Two Cirque Du Soleil Performers Are Launched Toward Each Other From Two Slightly Offset Seesaws The First Performer Is Launched And One Second later , The Second Performer Is Launched in other Direction .They Both Performed A Flip And gave a high five in the air each performer is in the air for 2 seconds . The Height above the seasaw (h) at any given time (t) is approximated by parabolas h=-5(t-1)^2 +5 h=-5 ( t-2)^2 +5 determine the height of the performers when they ''high fived '' @jvatsim

  • This Question is Closed
  1. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Hmm... interesting. I see that the second equation is just as nasty as the first one (the only difference is a t-1 vs. a t-2). But I bet the big picture idea is still the same. :) 1) Set equal 2) Solve for t 3) Check answer.

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    This One Is Tricky .

  3. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yeah, I notice that on the surface we also have a weird (t-1)^2 and (t-2)^2 expansion needed too. We have to "expand the binomial" in math speak.

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok.

  5. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Let's try it and see what we get. We'll start with the first equation -5(t-1)^2 + 5

  6. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Alright, well I don't like the whole parenthesis squared thing so let's remember that exponents just mean to multiply the same thing twice: -5(t-1)^2 + 5 --> -5(t-1)(t-1) + 5

  7. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Does that make sense so far?

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Kind Of

  9. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Alright, keep track of what you are thinking and what is confusing. Let me finish the full thought here and see if that helps. :)

  10. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    We rewrite: -5(t-1)^2 + 5 -> -5(t-1)(t-1) + 5 then, we use FOIL or distribution (whichever you learned) to get: -5(t-1)(t-1) + 5 -> -5( t^2 - t - t + 1) + 5 simplifying: -5(t^2 - t - t + 1) + 5 -> -5(t^2 - 2t + 1) + 5 distribute the -5 (watch out for sign changes!): -5(t^2 - 2t + 1) + 5 -> -5t^2 + 10t - 5 + 5 simplifying: -5t^2 + 10t - 5 + 5 -> -5t^2 + 10t I know that is a lot, but see if you can follow the thought process. If you have any questions, I'll be happy to try and answer them. There are several algebra ideas floating around here.

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Look Like Something I Seen Before

  12. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    That's a good thing... I suppose. When it comes to math, we're basically saying "Yep, I've seen Godzilla before." :)

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Lol Right .

  14. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ahh! Error.... Here it is corrected. :) Well, if you are brave, we can do the same thing with the other equation -5(t-2)^2 + 5. If we do it carefully, we get -5(t-2)^2 + 5 -5(t-2)(t-2) + 5 -5(t^2 - 2t - 2t + 4) + 5 -5(t^2 - 4t + 4) + 5 -5t^2 + 20t - 20 + 5 -5t^2 + 20t - 15 Yikes... but, OK. :P Should have been -15 at the end.

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok got it

  16. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Is there any step in particular that is confusing? Hopefully most of the make sense. The concepts here (in case you remember the names, which I never did): expand binomial: (t-1)^2 = (t-1)(t-1) FOIL: (t-1)(t-1) = first + outer + inner + last = t*t + t*-1 + -1*t + -1*-1 = t^2 -t -t + 1 = t^2 - 2t + 1

  17. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh, well you said you got it, but just checking... :)

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i was saying i got the 1st step lol but the whole binomial never heard of it

  19. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    No worries, you may have heard it called something different. Terminology is replaceable. :)

  20. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i heard of terminology

  21. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Well, now we are actually through most the hard part of this question. 1) Expand the equations we got -5(t-1)^2 + 5 ---> -5t^2 + 10t and -5(t-2)^2 + 5 ---> -5t^2 + 20t - 15 All we do now is set these two equations equal to each other, and proceed as before.

  22. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    soooo -5t^2 +10t=-5t^2 + 20t - 15

  23. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Right! Now, we can choose to move one side or the other it doesn't matter. I'll move the left side since it is shorter (less steps). :)

  24. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -5t^2 + 10t = -5t^2 + 20t - 15 +5t^2 +5t^2 ------------------------ 10t = 20t - 15 ooooh nice, the t^2's are gone! 10t = 20t - 15 -10t -10t ------------- 0 = 10t - 15 I don't like it written backwards, so I will spin it around 10t - 15 = 0 There. We don't even need the quadratic formula for this one!

  25. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yay this one was fun but different

  26. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes, the mathematical definition of "fun" is "utterly tortuous and ridiculous". :) If you get into math at the master's level the definition of an "interesting problem" is one that "you have no clue how to solve". lol

  27. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Just to finish it off (though I'm sure you already finished the missing steps)... 10t = 15, so t = 15/10 = 1.5.

  28. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    very ..

  29. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I've got to head out now. But I do want to give you a link to a very good resource: Check out desmos.com It is a very powerful graphing calculator that lets you "see" the answer visually. It is not a replacement for knowing the algebra (in class you still need to solve it manually), but I think it is cool to know that there is technology that does these problems instantly. :) For example, I did this problem we just solved: https://www.desmos.com/calculator/1h08m4ibe7

  30. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks , ill stay in touch your awesome

  31. jtvatsim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Of course, whoever wrote the code for the computer needed to know the handwritten algebra first... :) Thanks! I hope you got something out of all the crazy math notation I threw at you. It's still weird that little symbols allow us to communicate ideas... crazy stuff... Take care! :)

  32. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.