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Math Help - Trigonometric Function Question?

  1. #1
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    Trigonometric Function Question?

    I have this question and I have no idea where to start it. Any help would be extremely appreciated!

    If a ball is hit into the air at an angle of elevation between 0 and 90 degrees its path can be modelled by the equation:

    y= x (sinb / cosb ) - (gx / 2u cos b)

    where x and y are cartestian coordinates.

    g=10m/s (gravity), u = (initial velocity), b = the angle of projection. Lyall can hit a cricket ball at 40m/s. The boundary at the MCG is 70m from the pitch.

    Is he capable of hitting a six and if so calculate the angle at which the ball should be hit to clear the boundary rope? (i.e. y=0 and x=0)

    Honestly, I don't know where to start and don't know which rules to apply.
    Please help
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  2. #2
    Super Member
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    e

    y= x (sinb / cosb ) - (gx / 2u cos b)

    In the above equation, put y = 0. u and x is given. Rewrite the above equation.
    0 = x*tanθ -(gx^2/2u^2)sec^2(θ)
    Substitute sec^2(θ) = 1 + tan^2(θ) and solve the quadratic to find the angle.
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