The equation y = 5 Sin (3x - 4t), where
y is in millimeters, x is in metres and t
is in seconds, represents a wave motion.
Determine the (i) frequency (ii) period
(iii) speed of the wave.​

Part A. We are given that a dart travels from rest to a velocity of 30 m/s with an acceleration of 330 m/s^2 to determine the time we will use the following equation of motion:

Where:

Since the dart is launched from rest this means that the initial velocity is zero, therefore:

Now, we divide both sides by "a":

Now, we plug in the values:

Solving the operation:

Part B. Now, we are asked to determine the distance. To do that we will use the following equation of motion:

Now, we divide both sides by "2a":

Now, we plug in the values:

Solving the operations we get:

Therefore, the distance is 1.36 meters.

Answer:

d in my opinion is the most opitmal answer

Explanation:

aka a graph comparing distances traveled by objects thrown on Earth and the moon

Answer:

Its d

Explanation:

a graph comparing distances traveled by objects thrown on Earth and the moon

a) To find the velocity at a time t, we need to integrate the acceleration function with respect to time. Using the given acceleration function a(t) = 2t + 3, we integrate it to obtain the velocity function v(t):

v(t) = ∫(2t + 3) dt

v(t) = t^2 + 3t + C

To find the constant of integration (C), we use the initial velocity v(0) = -4:

-4 = (0)^2 + 3(0) + C

C = -4

Therefore, the velocity at time t is given by:

v(t) = t^2 + 3t - 4

b) To find the distance traveled over the time interval 0 ≤ t ≤ 3, we need to integrate the velocity function v(t) with respect to time and evaluate it within the given time interval. The distance traveled (d) is given by:

d = ∫[0,3] (t^2 + 3t - 4) dt

Evaluating the integral within the limits:

d = [(1/3)t^3 + (3/2)t^2 - 4t] [0,3]

d = [(1/3)(3)^3 + (3/2)(3)^2 - 4(3)] - [(1/3)(0)^3 + (3/2)(0)^2 - 4(0)]

d = 9 + 13.5 - 12 - 0

d = 10.5

Therefore, the particle traveled a distance of 10.5 units over the time interval 0 ≤ t ≤ 3.

To learn more about integrate the acceleration visit: brainly.com/question/13143668

#SPJ11

Answer:

A hunter trying to catch a fish aims above where he sees the fish because the fish is usually not in the exact spot that the hunter sees it. The fish is likely to move out of the way of the hook, so aiming slightly above the spot where the fish is seen gives the hunter a better chance of catching it. Furthermore, the fish may be swimming in a certain direction and the hunter needs to account for this in order to be successful. By aiming slightly above the spot where the fish is seen, the hunter can ensure that the hook will be in the path of the fish and increase the chances of catching it.

Diving birds dive straight down to catch a fish because it is the most efficient way for them to catch their prey. By diving straight down, the bird is able to reach the fish quickly and with minimal effort. Additionally, the bird is able to surprise the fish, giving it less time to react and swim away. The bird can also use its wings to help it dive faster and reach the fish more quickly. By diving straight down, the bird is able to maximize its chances of catching the fish and ensuring its next meal.

Answer: C, A, C, A

Explanation:

I apologize if incorrect. I answered these to the best of my abilities, please feel free to let me know if they were correct or incorrect.

A) Speed of waves on the wire: 360 m/s. the wire is held rigidly at both ends and set into oscillation.

What is oscillation ?

Oscillation is a repeating back and forth movement between two points, or a continuous and regular alternation between two states. It is a type of periodic motion, which can either be regular or irregular, that is often seen in physical or biological systems.

In physics, oscillation is a type of motion that is repeated over and over again in the same pattern. Examples of oscillation include the swinging of a pendulum, the vibration of a tuning fork, and the wave-like motion of a spring. In biology, oscillation can refer to the cyclic changes in the activity of a living organism, such as the body temperature of a mammal, or the circadian rhythm of a plant. Oscillation is an important phenomenon in many areas of science, from engineering to economics.

To learn about more oscillation

https://brainly.com/question/12622728

#SPJ4

The change in entropy for the universe is equal to The sum of the change in entropy for the system and the change in entropy for the surroundings.

The change in entropy for the universe is a combination of the change in entropy for the system and the change in entropy for the surroundings. In an isolated system, where there is no exchange of matter or energy with the surroundings, the change in entropy for the universe would be zero.

However, in most real-world situations, systems are not isolated, and there is an exchange of energy and/or matter with the surroundings, resulting in changes in entropy for both the system and the surroundings.

Therefore, to determine the overall change in entropy for the universe, we need to consider the sum of the changes in entropy for the system and the surroundings.

The correct answer is The sum of the change in entropy for the system and the change in entropy for the surroundings.

To know more about change in entropy here

https://brainly.com/question/28244712

#SPJ4

Answer:

Displacement (km)

Explanation:

The y axis is the vertical axis pointing up and down. This is labeled as the the displacement (km) in the graph.

Answer:

r = 1.999m

Explanation:

E = kq/r²

10 = 9*10^9*q/1²

q = 10/9*10^9

q = 1.11*10^-9

then at what distance

r² = kq/E

r² = 9*10^9*1.11*10^-9/2.5

r² = 9.99/2.5

r² = 3.996

r = √3.996

r = 1.999m

The generator power will be 59 kW. Power drop is the main factor for finding the generated power.

The maximum power input allowed to pass through a piece of equipment is known as the equipment's power rating.

Power drop = 5%

The relation of the frequency change with the power drop is;

\(\rm \frac{df}{dp} =5\%\\\\ \frac{f_{rated-f_1}}{P_{rated}-P_1}=0.05\\\\ \frac{f_{rated-60}}{100-61}=0.05\\\\ f_{rated}=61.95\)

For the grid frequency, 59.9 Hz

\(\rm \frac{f_{rated-f_2}}{P_{rated}-P_2}=0.05\)

\(\rm \frac{61.95-f_2}}{100-P_2} =0.05\\\\ 100-P_2 =20(61.95-59.9)\\\\P_2=100-41 \\\\ P_2=59 \ kW\)

Hence, the generator power will be 59 kW.

To learn more about the power rating, refer to the link;

https://brainly.com/question/13787703

#SPJ1

The number of stairs Sara must climb to cancel out the calories consumed is 11667 stairs

To obtain the number of stairs Sara much climb, we'll begin by obtained the total height. This can be obtained as follow:

E = mgh

946671.84 = 69 × 9.8 × h

946671.84 = 676.2 × h

Divide both sides by 676.2

h = 946671.84 / 676.2

h = 1399.99 m

Finally, we shall determine the number of stairs. Details below:

Number of stairs = Total height / height of one stair

Number of stairs = 139999 / 12

Number of stairs = 11667 stairs

Thus, the number of stairs is 11667 stairs

Learn more about number of stairs:

https://brainly.com/question/23589271

#SPJ1

Answer:the first one is (customer service skills) the second one is (patience) and the third one is (physical strength)

Explanation: I just done it and got it right.

Answer:

the first one is (attention to detail) the second one is(dexterity) the  third one is (patience) and the last one is (stamina)

Explanation:

i got it right

Answer:

range of wavelength and frequencies is the answer

Explanation:

the defintion is:

the range of wavelengths or frequencies over which electromagnetic radiation extends.

and also

It is the most complete range of all types of radiation that has both electric & magnetic fields and travels in waves.

Making electromagnetic spectrum a electromagnetic spectrum

Range of wavelength and frequencies being the answer

Answer:

Yes

Explanation:

The wind net force acting on the sail is doing work.   (The 'net' force takes into account the force of friction between the boat hull and the water)

Answer:

chloroplasts

Explanation:

Most plant shoots exhibit positive phototropism, and rearrange their chloroplasts in the leaves to maximize photosynthetic energy and promote growth.

A Gardner crosses the plant with red and white flowers. Each is pure of its traits. If the gene of the flower shows incomplete dominance the dominant flow gene will show the color.

Learn more about the plant with red flowers with one with

brainly.com/question/20170682.

We can then solve for the moment of inertia using the known mass, height, and inner and outer radii of the hollow cylinder and  compare this value to the moment of inertia of a solid disk that we do know to see how they differ.

To determine the moment of inertia of the hollow cylinder, assuming we do not know its value beforehand, we can make use of the moment of inertia of the solid disk that we do know.  First, we need to calculate the moment of inertia of the solid disk about its central axis. This can be done using the formula:

I_disk = (1/2) * M * R²

where M is the mass of the disk and R is its radius.

Next, we need to measure the time taken for the hollow cylinder to roll down an inclined plane of known height and calculate its angular velocity at the bottom of the incline. Let's call this angular velocity ω.

Using the principle of conservation of energy, we can equate the potential energy at the top of the incline to the kinetic energy at the bottom of the incline:

M * g * h = (1/2) * I_cylinder * ω²

where M is the mass of the hollow cylinder, g is the acceleration due to gravity, h is the height of the incline, and I_cylinder is the moment of inertia of the hollow cylinder that we want to find.

We can rearrange this equation to solve for I_cylinder:

I_cylinder = 2 * M * g * h / ω²

Now, we can substitute the value of ω that we just measured into this equation and solve for I_cylinder. But we still need to relate I_cylinder to I_disk, the moment of inertia of the solid disk.

Luckily, we know that the moment of inertia of a hollow cylinder of mass M, inner radius r, and outer radius R is given by:

I_cylinder = (1/2) * M * (R² + r²)

So, if we can measure the inner and outer radii of the hollow cylinder, we can substitute these values into this equation and solve for I_cylinder. Then, we can compare this value to the moment of inertia of the solid disk that we calculated earlier and see how they differ.

In summary, to determine the moment of inertia of a hollow cylinder when we don't know it beforehand, we need to measure the time taken for it to roll down an incline, calculate its angular velocity at the bottom, and relate this velocity to the potential energy at the top of the incline. We can then solve for the moment of inertia using the known mass, height, and inner and outer radii of the hollow cylinder. Finally, we can compare this value to the moment of inertia of a solid disk that we do know to see how they differ.

More on inertia: https://brainly.com/question/31620011

#SPJ11

Answer:

beta decay.

Explanation:

THIS IS THE COMPLETE QUESTION BELOW;

The process by which weak nuclear forces in carbon-14 isotopes transform a neutron into a proton while releasing an electron is called ______

Beta decay (β-decay) can be regarded as type of radioactive decay whereby

a beta particle whereby fast energetic electron is been emmitted away from atomic nucleus, and the original nuclide is been transformed to isobar of the particular nuclide. The process Beta decay can make unstable atoms to be more stable. The two types of beta decay are;

✓beta-minus

✓beta-plus. It should be noted that the process by which weak nuclear forces in carbon-14 isotopes transform a neutron into a proton while releasing an electron is called beta decay.

CHECK ATTACHMENT FOR EXAMPLE OF BETA DECAY EQUATION

Answer:

10 points u liar so i wont answer

Explanation:

Answer:

making sure that you change one factor at a time while keeping all other conditions the same

Explanation:

Answer:

A way you can create a fair test by making sure that you change one factor at a time while keeping all other conditions the same.

Explanation:

Hope it helps! Have a great day!

Lilac~

Answer:

When a liquid is heated, it eventually reaches a temperature at which the vapor pressure is large enough that bubbles form inside the body of the liquid. This temperature is called the boiling point. Once the liquid starts to boil, the temperature remains constant until all of the liquid has been converted to a gas.

Explanation:

The speed of light in a medium, such as plastic, is given by the equation v = c/n, where v is the speed of light in the medium, c is the speed of light in vacuum (approximately 3 x 10^8 m/s), and n is the refractive index of the medium. To determine the speed of red light in plastic, the refractive index of the specific plastic material must be known.

The wavelength of light in a medium can be determined using the equation λ = λ0/n, where λ is the wavelength of light in the medium, λ0 is the wavelength of light in vacuum, and n is the refractive index of the medium. Given that the red laser has a wavelength of 633 nm (633 x 10^-9 m) in vacuum, the wavelength of red light in plastic can be calculated using the refractive index of the plastic material.

In conclusion, to determine the speed and wavelength of red light in plastic, the specific refractive index of the plastic material needs to be known.

To learn more about Wavelength : brainly.com/question/31143857

#SPJ11

Answer:

y = m x + b      is the equation for a straight line

s = v t       is in this format (b or distance = zero at start)

v = m is the slope  of the line and of course, t is the x-axis and s the y-axis

The area under the curve represents v / 2 * t which is the average speed multiplied by the time traveled

The minimum required power input for the refrigerator is 20.4 W.

The minimum required power input for the refrigerator can be calculated using the formula: P = Q/t, where P is the power input, Q is the heat removed from the refrigerated space, and t is the time taken to remove that heat.

First, we need to calculate the heat removed by the refrigerator, which can be found using the formula: Q = m*c*(T2-T1), where m is the mass of the refrigerated space, c is the specific heat capacity of the substance being refrigerated, T2 is the initial temperature (-17 °C), and T1 is the final temperature (26 °C).

Assuming a mass of 1 kg and a specific heat capacity of 2.5 J/g°C for the substance being refrigerated, the heat removed is 1575 J.

Dividing this by the rate of heat removal (13.6 J/s) gives us the time taken (115.8 seconds).

Finally, plugging in the values, we get the minimum required power input of 20.4 W.

For more such questions on power, click on:

https://brainly.com/question/11569624

#SPJ11

The minimum required power input for the refrigerator is 20.4 W.

The minimum required power input for the refrigerator can be calculated using the formula: P = Q/t, where P is the power input, Q is the heat removed from the refrigerated space, and t is the time taken to remove that heat.

First, we need to calculate the heat removed by the refrigerator, which can be found using the formula: Q = m*c*(T2-T1), where m is the mass of the refrigerated space, c is the specific heat capacity of the substance being refrigerated, T2 is the initial temperature (-17 °C), and T1 is the final temperature (26 °C).

Assuming a mass of 1 kg and a specific heat capacity of 2.5 J/g°C for the substance being refrigerated, the heat removed is 1575 J.

Dividing this by the rate of heat removal (13.6 J/s) gives us the time taken (115.8 seconds).

Finally, plugging in the values, we get the minimum required power input of 20.4 W.

Visit to know more about Power:-

brainly.com/question/11569624

#SPJ11

The electrons and protons have the same electric charge but of opposite nature.

What do you mean when you say "electric charge"?

Subatomic particles have a characteristic known as "electric charge" that makes them experience force while in an electric and magnetic field. Protons and electrons are the two main charge carriers for both positive and negative electric charges.

                               The quality of matter known as the electric charge is what causes it to create and feel the electric and magnetic effects.

Does the electric charge of protons and neutrons differ?

Neutrons lack charge, while protons and electrons have opposite charges. The size and direction of the charges on the proton and electron are the same.

                             In a neutral atom, protons and electrons exactly balance one another out in the same number.

Learn more about electric charge

brainly.com/question/9194793

#SPJ4

The required time does it take the rock to travel from the edge of the building to the ground is 20.4 seconds.

The above instance of throwing a rock from a point and its motion under gravity is known as projectile motion, and its route is referred to as a projectile.  The rock is moving horizontally (ahead) along the x-axis at a uniform velocity. The rock is moving vertically (downwards) along the y-axis due to uniform acceleration.

When a particle is thrown into the air at a certain speed, the only force acting on it is the acceleration caused by gravity (g). This is what is projectile motion acceleration.

We have,

h = 100m, g = 9.8m/s^2

By using formula

h = gt^2/2

t = √2h/g

t = √2(100)/9.8

t = 20.4 seconds.

Thus, required time is 20.4 seconds.

To learn more about projectile motion visit:

brainly.com/question/11049671

#SPJ4

Answer:

Sexually transmitted diseases are spread by direct contact with bodily fluids.

Explanation:

if you have a disease you can give it to someone by having sex because your fluids go into or either combine

Answer:

B

Explanation: