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The value of h or height of the acorn falling out of the tree is 9.

This question is incomplete, the complete question is:

The height of an acorn falling out of a tree is [tex]h=-16t^2+25[/tex]. If an acorn takes 1 second to fall to the ground. What is the value of h.

Given the data in the question;

  • Height of the acorn falling out of a tree;  [tex]h=-16t^2+25[/tex]
  • Time taken for the acorn to fall to the ground; [tex]t = 1[/tex]

Equation

An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign.

To determine the value of h, we substitute the value of t into the given equation.

[tex]h = -16t^2 + 25\\ \\h = -16(1)^2 + 25\\\\h = -16 + 25\\\\h = 9[/tex]

Therefore, the value of h or height of the acorn falling out of the tree is 9.

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