Hey there! Sign in to join this conversationNew here? Join for free
    • Thread Starter
    Offline

    11
    ReputationRep:
    In theory it is possible, but very impractical, to release a stack of about 26 perfectly elastic spherical balls from just one metre above the ground in such a way that the uppermost ball rebounds and escapes the Earth (known as the Irish Moonshot). I thought those of you currently studying M3 might find this famous problem (which is generalised to n balls) quite interesting. I'll post my solution later.

    TeeEm I thought you might find this interesting
    Attached Images
     
    Online

    17
    ReputationRep:
    Very nice problem. My solution was a bit awkward, but it worked (I believe) - essentially considering the general collision, establishing a recurrence and then inducting to victory. No doubt your method is much nicer.
    • Thread Starter
    Offline

    11
    ReputationRep:
    (Original post by Krollo)
    Very nice problem. My solution was a bit awkward, but it worked (I believe) - essentially considering the general collision, establishing a recurrence and then inducting to victory. No doubt your method is much nicer.
    That's a nice approach. I did something similar in a rough method. I'm going to type up a neater one but don't know when I'll get round to posting it (later today or tomorrow) because I've been tied up with A-level chemistry It'll give a few more people a chance to have a go at a solution I suppose.
    Offline

    22
    ReputationRep:
    Nice question. Generalising it to n balls made it prettier than the case with a given number of balls. :lol:
 
 
 
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • Poll
    Has a teacher ever helped you cheat?
    Useful resources

    Make your revision easier

    Maths

    Maths Forum posting guidelines

    Not sure where to post? Read the updated guidelines here

    Equations

    How to use LaTex

    Writing equations the easy way

    Student revising

    Study habits of A* students

    Top tips from students who have already aced their exams

    Study Planner

    Create your own Study Planner

    Never miss a deadline again

    Polling station sign

    Thinking about a maths degree?

    Chat with other maths applicants

    Can you help? Study help unanswered threads

    Groups associated with this forum:

    View associated groups
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

    Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

    Write a reply...
    Reply
    Hide
    Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.