College Algebra Problem?

clarisseclarisse
in Education & Reference

A ball is thrown across a playing field. Its path is given by the equation y= -0.005x^2 + x + 5, where x is the distance the ball has traveled horizontally, and y is its height above ground level, both measured in feet.

a. How far has it traveled horizontally when it hits the ground?

Comments

  • will-hwill-h

    Depends how hard and high you throw it. More info required to answer this problem i.e. height?

  • seamus-oseamus-o

    y = -0.005x² + x + 5

    y is its height above ground level

    so when it hits the ground y = 0

    so -0.005x² + x + 5 = 0

    Now use the quadratic formula x = [-b ± √(b² - 4ac)] / 2a to find x (the distance the ball has traveled horizontally) ... just take the positive answer because the distance is positive

  • aliasalias

    horizontally 144.72 feet hight 55.28 feet

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