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Math Help - Mechanics 1

  1. #1
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    Mechanics 1

    a horizontal tunnel has a height of 3m. A ball is thrown inside the tunnel with an initial pseed of 18ms^-1. what is the greatest horizontal distance that the ball can travel before it bounces for the first time?

    u_x=18
    u_y=0

    s_x=18t
    s_y=-4.9t^2

    thats is where i am stuck on.... I don't know what to do after this.
    thanks
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  2. #2
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    Quote Originally Posted by MK47 View Post
    a horizontal tunnel has a height of 3m. A ball is thrown inside the tunnel with an initial pseed of 18ms^-1. what is the greatest horizontal distance that the ball can travel before it bounces for the first time?

    u_x=18
    u_y=0

    s_x=18t
    s_y=-4.9t^2

    thats is where i am stuck on.... I don't know what to do after this.
    thanks
    s_y = -3 = -4.9t^2

    solve for t and sub the result into ...

    s_x = 18t
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  3. #3
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    I tried that many times,it gave me 14.08m but the answer from the book is 25.5m. Am I missing something here?
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  4. #4
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    ever occur to you that "book answers" are occasionally in error?

    use their "answer" and work backwards ... how high would the tunnel have to be?
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  5. #5
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    ahhh yes,thank you.
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