Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

kryton1212

  • 2 years ago

A snake starts moving at a speed of 2 m per second towards a target which is 5.8m away. In each second, the snake only moves two-thirds of the distance it traveled in the previous second. (a) Find the total distance that the snake has moves in the first five seconds. [Done; 5.21m] (b) Find the total distance that the snake can travel. [Done; 6m] >>>(c) When will the snake reach the target? <<<

  • This Question is Closed
  1. kryton1212
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @hartnn

  2. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the sum of distance, total distance = 5.8 so, plug in S= 5.8 in the equations you used, and keep time 't' as t only

  3. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    use the same formula as in part a)

  4. kryton1212
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    in part a, i work like this: 2+2*[(2/3)+(2/3)^2+...+(2/3)^4] =2+2*{[(2/3)(1-(2/3)^4]/[1-(2/3)]} =5.21

  5. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so, for part c, you need to find number of terms, right ? let that be n 2+2* [(2/3)+(2/3)^2+....(2/3)^n] (2/3)+(2/3)^2+....(2/3)^n is the geometric series a1 = 2/3, r=2/3 so, instead of (2/3)+(2/3)^2+....(2/3)^n write \(\large a_1 \dfrac{1-r^n}{1-r}\)

  6. kryton1212
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    we need to find n. r=2/3. how about a1?

  7. kryton1212
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @sauravshakya

  8. sauravshakya
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    a1=2m

  9. kryton1212
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ohh yes

  10. kryton1212
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but..

  11. sauravshakya
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    whats the problem?

  12. kryton1212
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (2/3)^n = 3/25 ?

  13. sauravshakya
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    then use log

  14. kryton1212
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ...wait

  15. kryton1212
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    5.23??

  16. sauravshakya
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    5.8 = {2(1-(2/3)^n)}/(1-(2/3))

  17. sauravshakya
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    did u solve for n?

  18. kryton1212
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    n=5.23??

  19. kryton1212
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[2(\frac{ 1-(\frac{ 2 }{ 3 } )^{n}}{ 1-(\frac{ 2 }{ 3 }) })=5.28\]

  20. sauravshakya
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no...... it is 5.8

  21. kryton1212
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yaya, typing mistake

  22. sauravshakya
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    u used 5.28

  23. sauravshakya
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I got 8.39

  24. kryton1212
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    8.388

  25. kryton1212
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    got it now, thanks

  26. sauravshakya
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    welcome

  27. 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.