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Thread: Mechanics Help

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    Mechanics Help

    A particle is projected with speed V and angle of elevation alpha from point O on the edge of a cliff of height h. When the particle hits the ground its path makes an angle arctan(2tan(alpha)) with the horizontal.

    Screen Shot 2018-07-28 at 11.34.49 am.png

    Why is tan(beta)=vertical velocity/horizontal velocity?

    Thanks.
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    Re: Mechanics Help

    If the direction of the projectile's velocity makes an angle with the horizontal, then it is true that:



    At the point where the projectile hits the ground,

    (the velocity vector of the projectile is pointing downwards, so is in the fourth quadrant).



    Now:

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    Re: Mechanics Help

    Quote Originally Posted by Andy005 View Post
    Why is tan(beta)=vertical velocity/horizontal velocity?

    Thanks.

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