Question

A timer is started and a few moments later a model airplane is launched from the ground. Its height (in feet) as a function of time (in seconds after the timer was started) is given by the equation h(t)=−(t−10)2+95. Which of the following statements is true?
The airplane reaches its maximum height of 10 feet in 95 seconds.

The airplane reaches its maximum height of 95 feet in 10 seconds.

The airplane reaches its minimum height of 95 feet in 10 seconds.

The airplane reaches its minimum height of 10 feet in 95 seconds.

Answer 1

Considering the given quadratic function, the correct statement is given by:

The airplane reaches its maximum height of 95 feet in 10 seconds.

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient. If a > 0, the vertex is a minimum point, and if a < 0 it is a maximum point.

In this problem, the function is:

h(t) = -(t - 10)² + 95.

Hence the vertex is (10, 95), and since a < 0, the correct statement is given by:

The airplane reaches its maximum height of 95 feet in 10 seconds.

More can be learned about quadratic functions at brainly.com/question/24737967

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