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Math Help - projectiles

  1. #1
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    projectiles

    the equation of a projectile can be written as
    (i)show that the point can be hit by firing at two different angles and if
    (ii) show that no point ABOVE the x axis can be hit by firing at two different angles such that and
    i have completed part one but i have no idea how to approach part two
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by calculus_jy View Post
    the equation of a projectile can be written as
    (i)show that the point can be hit by firing at two different angles and if
    (ii) show that no point ABOVE the x axis can be hit by firing at two different angles such that and
    i have completed part one but i have no idea how to approach part two
    The second part is asking you to show that the equation:

    y=x \tan(x) - \frac{1}{4h}x^2(1+\tan^2(x))

    has no (real) roots for x when \theta in the given range for any positive y.

    As this is a quadratic in x you examine the discriminant.

    RonL
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