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water shoots from the mouth of a tall gargoyle fountain straight into the air with an initial velocity of 37 feet per second. It take the water 5 seconds to travel through the air and actually falls past the point from which it came, splashing down onto the ground. how tall is the fountains mouth

  • gas - ,

    question is: how high is the mouth, not how tall.

    height x from ground is given by

    h(t) = x + 37t - 16t^2
    h(5) = 0

    0 = x + 37(5) - 16(25)
    x = 43(5) = 215

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