h(t) = −16t2 + 110t + 72The function above models the height h, in feet, of an object above ground t seconds after being launched straight up in the air. What does the number 72 represent in the function?

Correct answer: A. The initial height, in feet, of the object

  • A. The initial height, in feet, of the object
  • B. The maximum height, in feet, of the object
  • C. The initial speed, in feet per second, of the object
  • D. The maximum speed, in feet per second, of the object

Explanation

Choice A is correct. The variable t represents the seconds after the object is launched. Since h(0) = 72, this, means that the height, in feet, at 0 seconds, or the initial height, is 72 feet.

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