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creativ13 [48]
3 years ago
15

What is the amplitude of the sinusoid's graph? y = -4 sin 3x

Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

Answer:

Amplitude = 4

Step-by-step explanation:

The general form of a sine curve would be  y=ASin(bx)  where A is the <u>"amplitude"</u>, or the "tallness" or "shortness" of the graph.

Technically, amplitude is the absolute value of the number that is multiplied in front of "Sin". So the amplitude is 4.

<u>Note:</u> The negative sign in front of 4 plays the role of "flipping" the curve upside down.

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Answer:

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Step-by-step explanation:

Let's assume

initial velocity =vi

final velocity=vf

initial height =hi

final height =hf

acceleration due to gravity =g

we can use formula

\frac{1}{2}v_i^2+gh_i= \frac{1}{2}v_f^2+gh_f

we are given

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h_f=0

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now, we can plug values

\frac{1}{2}(2)^2+(9.8)(4)= \frac{1}{2}v_f^2+(9.8)(0)

now, we can solve for vf

\frac{1}{2}(2)^2+(9.8)(4)= \frac{1}{2}v_f^2

we get

v_f=9.0774m/s


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