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2 years ago

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The components of vector are given as follows: ax = +6.1 ay = -8.6 the angle measured counterclockwise from the x-axis to vector

, in degrees, is closest to:

1 answer:

r-ruslan [8.4K]2 years ago

8 0

The tangent of the angle is

... tan(α) = ay/ax = -8.6/6.1

Then the angle (measured CCW from +x) is

... α = arctan(-86/61) ≈ 305°

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Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

The average rate of change of a function over the interval $[a,b]$ is equal to $\frac{f(b)-f(a)}{b-a}$ , hence:

$\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}$

Therefore, the average rate of change of $f(x)$ over the interval $[5,9]$ is $\frac{9}{2}$ .

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Do the same thing as in Part A:

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<u>Part C</u>

To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).

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