A buoy floating in the ocean is bobbing in simple harmonic motion with period 7 seconds and amplitude 3 ft. Its displacement d from sea level at time t=0 seconds is -3 ft, and initially it moves upward. (Note that upward is the positive direction.) Give the equation modeling the displacement d as a function of time t.

Q: Sketch one period of the following function y = 2 sin ( – 7)- 1

A:

Q: Determine the equation of a sine function with a minimum at ,-10 | and a maximum 57 at 6

A: Given problem:- Determine the equation of a sine function with a minimum at (π/3, -10)and a maximum…

Q: Write the equation for a cosine function with amplitude 8x, period 1, and phase shift - 2.

A: The cosine function has amplitude 8π, period 1 and phase shift -2

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

A:

Q: A man programs his sprinkler system to have a period of minutes. He notices that the highest point…

A: Given problem can be modeled as: the general equation is given by h(t)=a .Sin(kt)   where a=…

Q: A mass weighing 16 pounds is attached to a spring whose spring constant is 9 Ib/ft. Find the…

A: Let m be the mass attached to a spring with spring constant k then  the equation of motion is…

Q: Sketch one period of the equation f(x) = = 2 sin (x − ) + ¹ - 7 1

A: Given that  fx=2sinx-π2+1 Then, we have sketch the function for one period  Therefore,

Q: Show that the period of f(0) sec 0 is 27.

A: According our guideline i solve only first.For second answer please re upload the next question.

Q: Suppose the function cos(t) is shifted 5 units upward. What is the equation of the new function?

A: To determine The equation of the new function if the function cos(t) is shifted 5 units upward.…

Q: 2. A 12 meter building on level ground casts a shadow on the ground. At one moment in the morning of…

A: Let's find.

Q: As television cable is pulled from a large spoolto be strung from the telephone poles along a…

A: Given: The truck pulling the cable moves at a steady  6 ft/sec. We have to find the rate the spool…

Q: Determine the amplitude, period, and phase shift of y = 2sin (2x - ᴫ/2). Then graph one period of…

A: Given that y=2sin (2x - ᴫ/2) and we need to find the amplitude , period and phase shift. The general…

Q: An object moves in simple harmonic motion with period 6 seconds and amplitude 7 cm. At time t =0…

A: Topic:- Simple harmonic motion

Q: 3. Determine a sinusoidal function that could represent the graph drawn below. a.

A: topic - trigonometric functions

Q: A Ferris wheel of diameter 18.5 m rotates at a rate of 0.2 rad/s. If passengers board the lowest car…

A:

Q: A Ferris wheel with diameter 20 feet rotates counterclockwise and makes 2 revolutions per minute. At…

A: Given: Diameter of Ferris wheel = 20 feet Wheel makes 2 revolutions per minute.  Height of car on…

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: The time for one complete cycle of a point in simple harmonic motion is its ________.

A: The time for one complete cycle of a point in simple harmonic motion is its ________.

Q: A ladder of length 8 meters leaning against a wall starts to slide. If its upper end slides down the…

A:

Q: A buoy floating in the ocean is bobbing in simple harmonic motion with period 6 seconds and…

A: Here we shall use the formula for simple harmonic motion. d=Asin2πTt+B+C where T is the period, B is…

Q: Find a function that models the simple harmonic motion having amplitude 10 cm and period of 3…

A:

Q: At a certain ocean bay, the maximum height of the water is 4 m above mean sea level at 8:00 a,m. The…

A: Solution

Q: A beacon on a lighthouse 1 mile from shore revolves at the rate of 10TT radians per minute. Assuming…

A: Consider the following: The circumference of the circle being swept by the light at the distance 2…

Q: A mass weighing 4 pounds is attached to a spring whose spring constant is 25 lb/ft. Find the…

A:

Q: Write an equation for a function with the given characteristics. A sine curve with a period of 81,…

A:

Q: An object moves in simple harmonic motion with amplitude 15 m and period 1 minute. At time t = 0…

A:

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

A:

Q: A mass suspended from a spring oscillates in simple harmonic motion. The mass completes 9 cycles…

A: The equation of simple harmonic motion will be defined as, y=asinωt  where a is the amplitude of the…

Q: Sketch the graph of the equation.y = sin-1 (x-2) + π/2

A: Given: The function is y=sin-1(x-2)+π2. Substitute 1 for x in the function y=sin-1(x-2)+π2.…

Q: Determine a formula for a sinusoidal function which models the height of a point on the…

A: The general form of the sinusoidal cosine function is y=AcosBt+C+D. Where A is the amplitude, B is…

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

A:

Q: Write an equation that meets the following criteria: A) Tangent function B) Midline at y=−3 C)…

A:

Q: The displacement of an object attached to a spring that moves in simple harmonic motion is given by…

A: Known fact: For the function is of the form d=AsinBX-C+D, Period is 2πB Phase shift is C.

Q: Write an equation of the form ya sin bx or y=a cos bx to describe the graph below. 0 3 2 1 1 4 -100…

A: Check the amplitude and period of the graph and write the equation.

Q: Stuck

A: Given equation is as below.

Q: A ball on a spring starts at its lowest point of 6 inches below equilibrium, bouncesto its maximum…

A: Use the model for simple harmonic motion using cosine function:   d = a cos ωt   Where,  a =…

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

A: Let's assume the general model of  simple harmonic motion is x(t) =  A sin(2πft + ϕ)…

Q: f(x) X -10 -8 -6 -4 2 4 6. 10 -2 -3 -4 5 -7 2. 2. 1. 1.

A: The given question is related to function and their graph .solved in step 2nd.

Q: Write the equation of a sine function that has: an amplitude of 10, a period of 180 degrees, a phase…

A: The standard form of a sine function is y = asin[b(x−h)]+k  where a is the amplitude, = 10 2π/b is…

Q: Write a function describing the simple harmonic motion of a mass-spring system if the motion has…

A: Equation of simple harmonic of mass spring system is y = Asin(omega)t

Q: Sketch the graph of the equation.y = sin-1 2x

A: The given function is: y = sin-1 2x To sketch the graph of this inverse function, first sketch graph…

Q: Find the Cartesian equation for the curve r = 1 - 2 sine

A: Please refer the attached image for complete solution.

Q: A buoy floating in the ocean is bobbing in simple harmonic motion with period 6 seconds and…

A:

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: Sketch the graph of the function y-1+sin2x without using a calculator.

A: We have to sketch the graph of the function y=1+sin2x.

Q: Sketch two cycles of a sinusoidal function that has a period of 15 seconds, an amplitude of 4 and…

A: see below the answer

Q: The height of a nail in a bicycle tire as it rotates around is periodic in nature. The radius of the…

A:

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: What is the amplitude of the sine function? What does this tell you about the graph?

A: If the function is given as y=sinx is called the sine function. For the value of x as, -π2≤x≤π2…