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March 25, 2017

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You throw a tennis ball up in the air from an initial height of 4 feet and an initial velocity of 36 feet per
second. Will the ball reach a height of 30 feet? If so, how long will it take?

  • algebra - ,

    you should know that
    height = -16t^2 + 36t + 4

    so 30 = -16t^2 + 36t + 4
    16t^2 - 36t + 26 = 0
    8t^2 - 18t + 13 = 0
    use the quadratic equation to solve for t
    ( you should get an imaginary root, so the ball never reaches a height of 30 feet)

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