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physics

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A quarterback is asked to throw a football to a receiver that is 32.1 m away. What is the minimum speed that the football must have when it leaves the quarterback's hand?

  • physics - ,

    The minimum speed required for a given distance is achieved when the ball is thrown at a 45 degree angle. In that case,
    X = Vo^2/g

    For other launch angles, the horizontal distance covered is
    (Vo^2/g) * sin 2A
    where A is the launch angle, measured from horizontal.

    Use the first equation to solve for the initial velocity Vo.

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