Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is zero at time t=0 amplitude 15 ft, period 1 min

Q: Find the amplitude A, period P, phase shift P.S. for y = 3 sin| 2x- and graph one cycle. 4

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Q: The top of a 15-foot ladder rests against a vertical wall with the bottom of the ladder on level…

A: The top of a 15-foot ladder rests against a vertical wall with the bottom of the ladder on level…

Q: Sketch the graph of a cosine function with the following properties: Amplitude: 2 Period 3π…

A: We will make some transformation to the y=cos(x) function to meet our requires.

Q: Find the amplitude, period, and phase shift of the function. y = cos amplitude 12 period 6x phase…

A: Consider the function y = cos ((π/6) – x).

Q: A person stands 30 feet from point P and watches a balloon rise vertically from the point, as shown…

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Q: What is the equation of the cotangent function whose graph has a period of 4TT and shifted 2TT units…

A: A general equation of cot function is cotat-b with period πa and shift b to right.  Now, as per the…

Q: Find a function that models the simple harmonic motion having the given properties. Assume that the…

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Q: A kite 100ft above the ground moves horizontally at a speed of 6ft/s. At what rate is the angle…

A: Explanation of the answer is as follows

Q: Determine the period and frequency of the simple harmonic motion of a body of mass 0.75 kg on the…

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Q: A windmill spins at a rate of 15 rpm (Revolutions per minute). Its arms are 3 m long and its center…

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Q: Write a sine function that has a midline of 3, an amplitude of 4 and a period of 2.

A: To findsine function that has a midline of 3 , an amplitude of 4 and a period of 27.

Q: Sketch the graph of f (x) = 2 sin (x –÷), also find the amplitude and period %3D

A: Consider the function: fx=2sinx-π2 To sketch the graph of the given function:

Q: of one complete period of a cosine curve is given. 2. Find the amplitude, period, and horizontal…

A: Given, The graph of one complete period of cosine curve . We have to find the amplitude, period and…

Q: Without graphing the function y = 8 cos(7x), determine its amplitude, period, and section - width.…

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Q: Find the amplitude and period of the function. (=cos(6x) - cos(6x) amplitude period Sketch the graph…

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Q: A 10-foot ladder rests against a wall. If the top of the ladder starts sliding down along the wall…

A: we use Trigonometry ratios

Q: A point on the end of a tuning fork moves in the simple harmonic motion described by d = a sin ωt.…

A: We have to find value of omega(w) from given sine function.

Q: A point  P moving in harmonic  motion makes 10 complete revolutions every 1 second.The amplitude of…

A: Given- A point  P moving in harmonic  motion makes 10 complete revolutions every 1 second.The…

Q: On a piece of graph paper, create an amplitude vs. time graph of a sine wave with an amplitude of 5…

A: Formula: Frequency=1Period. Given: Amplitude = 5 Pa Period(T) = 0.03 sec. To find: Frequency(f).

Q: Write an equation for the simple harmonic motion that satisfies the given conditions. Assume zero…

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Q: Find the amplitude, period, and hori- zontal shift of the function, and graph one complete period. y…

A: We compare y=sin(π+3x)  with y=a·sin(b(x-c))+d y=sin(π+3x) y=sin3x+π3 Comparing we get: a=1, b=3,…

Q: A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 10ft above the…

A: Use trigonometric identity

Q: A bus hits a bump in the road, raising the back row seats by 16 inches above their regular position…

A: Given: When a bus strikes a pothole, the back row seats are raised 16 inches over their normal…

Q: On a piece of graph paper, create an amplitude vs. time graph of a sine wave with an amplitude of 5…

A: Given: A sine wave with an amplitude of 5 Pa and a period T = .03 sec.

Q: 3. A simple harmonic oscillator makes 25 complete vibrations after 5.0 seconds. Determine its (a)…

A: We know that , Period of motion(T)= Total time/No of complete vibrations Frequency(f)=1/T  Angular…

Q: The displacement of a mass suspended by a spring is modeled by the function h(t) = 14 sin(15rt)…

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Q: Write the equation of a sine function that has the following characteristic: 1 Amplitude: 4 Period:…

A: General form of a sine function is,             y=Asin(Bx-C)+D Where,      A= amplitude       Period…

Q: Construct the trigonometric function below by fixing the Amplitude and Period. y=1/2 cos2x

A: We have to construct the trigonometric function below by fixing the Amplitude and Period. y =…

Q: Given an object in damped harmonic motion, the amplitude (increases/decreases) with time

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Q: Find a function that models the simple harmonic motion having the given properties. Assume that the…

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Q: Find a model for simple harmonic motion satisfying the specified conditions. Displacement, d…

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Q: Write the equation of a sine function given the following characteristics: Amplitude = 3, Period =…

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Q: Ifk = 25, what is the period of a cos ine or a sine funciton? O 45 45 25 45 45 2π

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Q: A point P moving in a simple harmonic motion makes 10 complete revolutions every 1 sec. The…

A: The point is moving in a harmonic motion. The number of rotation n =10 Amplitude A = 2 m  The…

Q: The graph of the sine function illustrates how the ____________ of a point on the unitcircle varies…

A: Given  The graph of the sine function illustrates how the ____________ of a point on the unit circle…

Q: Write the equation for each requested curve a) Cosine curve with vertical compression of a factor of…

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Q: Find a function that models the simple harmonic motion having the given properties. Assume that the…

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Q: Write an equation in the form y=a sin br given the amplitude and the period. amplitude: 2 period: 27…

A: For any given function of the form y=asin(bx) , we will have  the amplitude of the equation as a and…

Q: find and graph one period of the periodic sine function with amplitude 3, period pi/3, and phase…

A: The standard form of Sine function is given by, y=a(sin(b(x-h)))+k where, a is amplitude  2pi/b is…

Q: Write the equation of a sine function that has the following characteristics. 1 Amplitude: 5 Period:…

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Q: Use a sine function to graph a sound wave with a period of 0.003 second and an amplitude of 2…

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Q: Which of the following represents a possible equation for a sinusoidal function with an amplitude of…

A: answer is in next step. please give a like!!

Q: A loop on a roller coaster has its highest point at 42 m and it's lowest point at 18 m. If the…

A: given maximum height (heighest)=42 m minimum height =18 m  amplitude of sine or cosine function =?

Q: Suppose theta(t) measures the minimum angle between a clock’s minute and hour hands in radians. What…

A: Given, θt measures the minimum angle between a clock’s minute and hour hands in radians. Find, θ't…

Q: The daily low temperature in Guangzhou, China, varies over time in a periodic way that can be…

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Q: Write the equation of a sine function that has the following characteristics.Amplitude: 2    Period:…

A: we have to find f(x) with following information

Q: Find a model for simple harmonic motion that has an initial displacement (t=0) of 5 inches, an…

A: Model for a harmonic motion is given by: y=asinbt+c Where, a=amplitudeb=Periodc=Phase difference…

Q: (a) Give the equation of the sine function with the following: Amplitude = 2, period 4 7 and phase…

A: Topic = Functions

Q: An object moves in simple harmonic motion with per initially it moves in a positive direction.

A: Given that an object moves in simple harmonic motion with a period 8 minutes and amplitude of 10 m.…