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butalik [34]
3 years ago
6

4. Mr. Downey used the function f(x) = -3x2 + 12x to model the flight of a glider. In Mr. Downey's

Mathematics
2 answers:
Tomtit [17]3 years ago
8 0

Answer:

After 2 seconds

Step-by-step explanation:

Here is the screenshot of the parabola that formed from the quadratic equation.

As you can see the maximum point of the parabola reaches 12 feet after 2 seconds.

Also as stated in the question " <em>After how many seconds will the glider reach its maximum distance from the ground?</em>" We are trying to see at how many seconds the glider reaches the maximum point, not how many seconds until it lands.

Thus, the answer would be 2 seconds

tankabanditka [31]3 years ago
6 0

Answer: 120 seconds

Step-by-step explanation: In order to find the maximum value of a function, you can take the derivative of the function and equalize the result to 0.

f'(x)=(-3x^2 + 12x)'=-6x+12=0

x=2

When x is 2, the function will reach its maximum value.

f(2)=-3(2)^2 + 12.2 = -12 + 24 = 12

The maximum value (f(x)) is equal to 12 and the time passed is 2 minutes which is equal to 120 seconds.

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