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otez555 [7]
3 years ago
5

Write an equation for the simple harmonic motion of a ball on a spring that starts at its lowest point of 6 inches below equilib

rium, bounces to it maximum height of 6 inches above equilibrium and returns to its lowest point in a total of 2 seconds. (think about amplitude and period)
Mathematics
1 answer:
olasank [31]3 years ago
6 0
So a general harmonic equation is Asin(2πt/T). Little t is just a variable. 6 inches is the height of one maximum and one minimum from equilibrium, so that is the amplitude A. T is the period, or the time of one cycle (or wavelength), which is 2 seconds.

The equation is therefore (in terms of seconds and inches), 6*sin(2πt/2), or 6*sin(πt).
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Which of the following are identities? Check all that apply
Natasha2012 [34]

Answer:

A, C

Step-by-step explanation:

Actually, those questions require us to develop those equations to derive into trigonometrical equations so that we can unveil them or not. Doing it only two alternatives, the other ones will not result in Trigonometrical Identities.

Examining

A) True

\frac{1-tan^{2}x}{2tanx} =\frac{1}{tan2x} \\ \frac{1-tan^{2}x}{2tanx} =\frac{1}{\frac{2tanx}{1-tan^{2}x}}\\ tan2x=\frac{1-tan^{2}x}{2tanx}

Double angle tan2\alpha =\frac{1 -tan^{2}\alpha }{2tan\alpha}

B) False,

No further development towards a Trig Identity

C) True

Double Angle Sine Formula sin2\alpha =2sin\alpha *cos\alpha

sin(8x)=2sin(4x)cos(4x)\\2sin(4x)cos(4x)=2sin(4x)cos(4x)

D) False No further development towards a Trig Identity

[sin(x)-cos(x)]^{2} =1+sin(2x)\\ sin^{2} (x)-2sin(x)cos(x)+cos^{2}x=1+2sinxcosx\\ \\sin^{2} (x)+cos^{2}x=1+4sin(x)cos(x)

7 0
3 years ago
Read 2 more answers
A standard six-sided die is rolled. what is the probability of rolling a number equal to 3? express your answer as a simplified
alexandr402 [8]

there is 1 number 3 on a 6 sided die

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4 0
3 years ago
Select the correct answer from each drop-down menu.
Tom [10]

Answer:

Column 1 Row 1 is 150

Column 1 Row 2 is 80

Column 2 Row 1 is -1

Column 2 Row 2 is 1

Column 3 Row 1 is -300

Column 3 Row 2 is 1,700

Step-by-step explanation:

You can trust me on this. I have done my smart calculations to ensure I am 100% correct. If you think that I am wrong then you are a moron and ignorant.

7 0
2 years ago
What’s the distance between 120 and -50 on a number line ?
Vera_Pavlovna [14]

Answer:

170

Step-by-step explanation:

6 0
3 years ago
Juan cuts a piece of rope that is 16 meter long into 2 equal pieces. What is the length of each shorter piece of rope? Enter you
denis-greek [22]

Answer:

\text{Length of each shorter piece of rope}=8\text{ meter}

Step-by-step explanation:

We have been given that Juan cuts a piece of rope that is 16 meter long into 2 equal pieces. We are asked to find the length of each shorter piece of rope.

To find length of each shorter piece of rope, we will divide total length of rope by 2 because Juan cuts the rope into two equal pieces.

\text{Length of each shorter piece of rope}=\frac{16\text{ meter}}{2}

\text{Length of each shorter piece of rope}=8\text{ meter}

Therefore, the length of each shorter piece of rope would be 8 inches.

5 0
3 years ago
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