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Projectile motion-range calculation

  1. Oct 15, 2014 #1
    • Warning! Posting template must be used for homework questions. Effort must be shown in the Attempt at a Solution.
    1. the surface of a hill is inclined at α to horizontal,a stone is thrown from the top of the hill at initial speed u at angle β with vertical line. How far from the top will the stone strike the ground?

    2. R=(u^2 sin2θ)\g or by rotational co ordinate geometry


    3. can't prove that the dist covered by the stone is 2(u^2 sinβcos(α-β))\gcos^2 α
     
  2. jcsd
  3. Oct 15, 2014 #2

    NascentOxygen

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    How did you go about trying to solve this? Where is your labelled diagram ?

    The provided answer is correct, it's the distance measured along the sloping ground
     
    Last edited: Oct 15, 2014
  4. Oct 15, 2014 #3
    shall i send you a labelled diagram
     
  5. Oct 15, 2014 #4
    How shall i start the calculation?
     
  6. Oct 15, 2014 #5

    NascentOxygen

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    Attach a jpeg to your forum post.
     
  7. Oct 15, 2014 #6
    the curve of projectile is not perfect.....if you cannot understand please ask! AND sorry for late reply!
     

    Attached Files:

  8. Oct 15, 2014 #7

    NascentOxygen

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    The launch velocity can be shown resolved into 2 components.

    The time taken to cover distance CB can be established.
     
  9. Oct 15, 2014 #8
    i had tried but got stuck!
     
  10. Oct 15, 2014 #9

    NascentOxygen

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    Show the working of your attempt.
     
  11. Oct 15, 2014 #10
    i had got confused with it because the projectile had exceeded its range so i can't solve it , i just checked mine calculation its wrong so suggest me how to start!
     
  12. Oct 15, 2014 #11

    NascentOxygen

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    It has to be worked using algebra, as no numerical data is provided.

    Can you resolve the launch velocity into vert and horiz components?

    Using your diagram, CB is the horizontal distance the projectile travels, because after travelling for that time & distance it hits terrain.
     
  13. Oct 15, 2014 #12
    yes i had resolved it into vert & hoz components...........but after that what should i do?
     
  14. Oct 15, 2014 #13

    NascentOxygen

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    Staff: Mentor

    "
    Well, what is your answer---how do you express the components of its initial velocity?
     
    Last edited: Oct 15, 2014
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