donnie1999
  • donnie1999
A rock is launched from a cannon. Its height, h(x), can be represented by a quadratic function in terms of time, x, in seconds. After 1 second, the rock is 58 feet in the air; after 2 seconds, it is 112 feet in the air. Find the height, in feet, of the rock after 10 seconds in the air.
Mathematics
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donnie1999
  • donnie1999
A rock is launched from a cannon. Its height, h(x), can be represented by a quadratic function in terms of time, x, in seconds. After 1 second, the rock is 58 feet in the air; after 2 seconds, it is 112 feet in the air. Find the height, in feet, of the rock after 10 seconds in the air.
Mathematics
schrodinger
  • schrodinger
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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donnie1999
  • donnie1999
anonymous
  • anonymous
h(x) = ax - bx^2 h(1) = a - b = 58 => a = b + 58 h(2) = 2a - 4b = 112 2(b + 58) - 4b = 112 - 2b + 116 = 112 2b = 4 => b = 2 so a = 2 + 58 = 60 so h(x) = 60x - 2x^2 so h(10) = 600 - 200 = 400 ft

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