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Mila [183]
3 years ago
5

The height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the fun

ction mc002-1.jpg. Which expression could be used to determine the average rate at which the object falls during the first 3 seconds of its fall
Mathematics
1 answer:
gtnhenbr [62]3 years ago
5 0
I believe the correct answer from the choices listed above is option D. The expression that could be used to determine the average rate at which the object falls during the first 3 seconds of its fall would be <span> (h(3)-h(0))/3. Average rate can be calculated by the general formula:

Average rate = (change in y-axis) / (change in x-axis)

In this case,

</span>Average rate = (change in height) / (change in time)
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pav-90 [236]
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How cos π/3=1/2?<br>having some problems learning continuity.
Bingel [31]

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Take two points, O(0, 0) and A(1, 0), and let B be the point on the unit circle such that the angle between the line segments OA and OB is \frac\pi3 radians.

Since both A and B lie on the circle, the line segments OA and OB both have length 1 (same as the circle's radius). We finish constructing the triangle by connect A and B.

Since OB and OA have the same length, triangle OAB is isosceles, but more than that, it's also equilateral. Why? Because the interior angles of any triangle always add to \pi radians. We know one of the angles is \frac\pi3 radians, which leaves a contribution of \frac{2\pi}3 radians between the remaining angles A and B. Angles A and B must be congruent (because OAB is isosceles), which means they also have measure \frac\pi3 radians.

Next, draw an altitude of the triangle through point B, and label the point where it meets the "base" OA, C. Since OAB is equilateral, the altitude BC is also a perpendicular bisector. That means OC has length \frac12, and by definition of \cos we have

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3 years ago
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Anna71 [15]
C is the right answer because the period should be pi/(1/3), so the answer is 3pi
3 0
3 years ago
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