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Math Help - Projectile motion problem

  1. #1
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    Projectile motion problem

    Hi I just need to see how to approach a problem like this.


    A darts player throws a dart at a dart board which hangs vertically. The motion of the dart is modelled as that of a particle moving freely under gravity. The darts move in a vertical plane which is perpendicular to the plane of the dart board. A dart is thrown horizontally with speed 12.6 m s^-1. It hits the board at a point which is 10cm below the level from which it was thrown.

    Find the horizontal distance from the point where the dart was thrown to the dart board.


    Thanks!
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Projectile motion problem

    Hint: Find the time it will take an object to freely fall 10 cm under the influence of gravity, then use distance = speed times time to find the horizontal distance.
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  3. #3
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    Re: Projectile motion problem

    Yeah I did that but my teacher said the answer was wrong...

    Could someone show the working for it?
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  4. #4
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    Re: Projectile motion problem

    Quote Originally Posted by kinhew93 View Post
    Yeah I did that but my teacher said the answer was wrong...

    Could someone show the working for it?
    I have a better idea ... you show your working so maybe someone can spot your mistake, or confirm that your solution is correct.
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  5. #5
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    Re: Projectile motion problem

    Ok here's what I did

    Finding vertical time:

    t^2 = 2(s-ut)/a
    = 2s/a
    = 0.2/9.8
    = 0.0204

    so t = 0.14 or 1/7s

    Horizontal distance:

    s = ut + (at^2)/2
    = (12.6 x 1/7) + 0
    =1.8m

    That seems right to me but maybe not?
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  6. #6
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    Re: Projectile motion problem

    I agree with your solution.
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