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  • Projectile Motion: Finding Equivalent Launch Angles for Maximum Range
    Here's how to figure this out:

    The Relationship Between Launch Angle and Range

    In the absence of air resistance, the range (horizontal distance) of a projectile is determined by the following:

    * Initial Velocity: The faster the ball is thrown, the farther it will go.

    * Launch Angle: The angle at which the ball is thrown affects the range. There's a sweet spot!

    Complementary Angles

    The key is that complementary angles produce the same range. Complementary angles add up to 90 degrees.

    Finding the Other Angle

    Since 75 degrees is the launch angle, to find the complementary angle, simply subtract it from 90 degrees:

    90 degrees - 75 degrees = 15 degrees

    Therefore, a ball thrown at 15 degrees will travel the same distance as a ball thrown at 75 degrees, assuming no air resistance.

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