the average velocity for this time period lasting until t = 0.1 seconds is 180 feet per second, lasting until t = 0.2 seconds is 800 feet per second, and lasting until t = 0.02 seconds is 800 feet per second. The instantaneous velocity of the ball is infinite at t = 0.001 seconds because the height of the ball is still increasing at this time.
The average velocity for the time period beginning when t = 2 and lasting until t = 0.1 seconds is:
Average velocity = (y2 - y1) / (t2 - t1) = (40t2 - 40t1 - 16t1) / (0.1 - 2) = 16 / 0.9 = 180 / 1.9
Therefore, the average velocity for this time period is 180 feet per second.
The average velocity for the time period beginning when t = 0.1 seconds and lasting until t = 0.2 seconds is:
Average velocity = (y2 - y1) / (t2 - t1) = (40t2 - 40t1 - 16t1) / (0.2 - 0.1) = (40(0.2) - 40(0.1) - 16(0.1)) / (0.2 - 0.1) = 80 / 0.1 = 800 / 10
Therefore, the average velocity for this time period is 800 feet per second.
The average velocity for the time period beginning when t = 0.01 seconds and lasting until t = 0.02 seconds is:
Average velocity = (y2 - y1) / (t2 - t1) = (40t2 - 40t1 - 16t1) / (0.02 - 0.01) = (40(0.02) - 40(0.01) - 16(0.01)) / (0.02 - 0.01) = 16 / 0.02 = 800 / 0.01
Therefore, the average velocity for this time period is 800 feet per second.
The instantaneous velocity of the ball is infinite at t = 0.001 seconds because the height of the ball is still increasing at this time.
Learn more about velocity
https://brainly.com/question/80295
#SPJ11
If today is October 24th and we observe a waning crescent, on what approximate date did we observe the last waxing crescent?
Answer:
I believe it is October 1st, October 2rd or October 3rd because it says "approximate date".
Explanation:
Here's Why:
The whole Synodic Period(All Lunar Phases) takes around 29.5 days you can round it to 30 if it's necessary. To know the time for each phase just divide the total amount of days the Synodic Period lasts to finish (29.5) by the amount of phases of the moon(8). The answer is 3.69 days each phase. Now it's common sense and basic math to know when was the last waxing crescent. if the Waning Crescent is on the 24th then count how many phases are between the waning crescent and waxing crescent there should be 6 phases(without counting the original phase, but count the phase you are looking for). So now 3.69 x 6= 22.14 I suggest to round it to 22. And now the basic math part 24-22= 2. Therefore the last waxing crescent was in October 2nd, But, some assignments might make it the 3rd or 1st because it says "approximate date". Hope it Helped
(4) (a) Consider a Gausian Bean whose spot size is 1 mm when collimated. The wavelength is 0.82 µm. Compute the divergence angle and the spot size at 5 km.
(b) A light source radiates uniformly over a region having a 40° full-cone angle. The source is a square planar radiator measuring 20 um on a side. Design a lens system that will decrease the beam spread to a 10° cone. Work out the image size and site.
(c) A receiver has a 10-cm focal length and a 1-cm photodetector diameter and has a inserted medium with index of reflection n 1.5 between lens and detector. Compute the receiver's Numerical Aperture (NA). Compute the material dispersion M of a laser diode for wavelength 10 nm and 15
(a) The divergence angle of the Gaussian beam can be calculated using the formula θ = λ / (π * w0). (b) To decrease the beam spread from a 40° cone angle to a 10° cone angle, a lens system needs to be designed. (c) The Numerical Aperture (NA) of the receiver can be calculated using the formula NA = n * sin(θ).
(a) The divergence angle of the Gaussian beam can be calculated using the formula θ = λ / (π * w0), where λ is the wavelength and w0 is the spot size. Given that the spot size is 1 mm (or 0.001 m) and the wavelength is 0.82 µm (or 8.2 x 10^-7 m), we can substitute these values into the formula to find the divergence angle. The divergence angle is approximately 0.105 radians.
To calculate the spot size at 5 km, we can use the formula w = w0 + θ * z, where w0 is the initial spot size, θ is the divergence angle, and z is the propagation distance. Plugging in the values w0 = 1 mm, θ = 0.105 radians, and z = 5 km (or 5000 m), we can calculate the spot size at 5 km. The spot size at 5 km is approximately 1.525 mm.
(b) To decrease the beam spread from a 40° cone angle to a 10° cone angle, a lens system needs to be designed. Given that the source is a square planar radiator measuring 20 µm on a side, the initial beam spread corresponds to a cone with a full-cone angle of 40°. To decrease the cone angle to 10°, a lens system can be used to focus and collimate the light beam.
The specific design of the lens system depends on the requirements and constraints of the system. However, in general, a combination of lenses, such as converging and diverging lenses, can be used to manipulate the light beam. By properly selecting and arranging the lenses, the beam spread can be reduced to the desired 10° cone angle. The image size and position will vary depending on the specific lens system design.
(c) The Numerical Aperture (NA) of the receiver can be calculated using the formula NA = n * sin(θ), where n is the refractive index of the medium and θ is the half-angle subtended by the receiver's photodetector. In this case, the receiver has a 10-cm focal length and a 1-cm photodetector diameter, which corresponds to a half-angle of θ = arctan(0.5/10) ≈ 2.86°.
Given that there is an inserted medium with a refractive index of n = 1.5 between the lens and detector, we can substitute these values into the NA formula. The Numerical Aperture of the receiver is approximately NA = 1.5 * sin(2.86°) ≈ 0.076.
The material dispersion (M) of a laser diode for a given wavelength can be calculated using the formula M = (dλ / λ), where dλ is the change in wavelength and λ is the original wavelength. However, in the provided question, the value for the change in wavelength (dλ) is not given, so it's not possible to calculate the material dispersion of the laser diode.
To learn more about Numerical Aperture, Click here: brainly.com/question/30389395
#SPJ11
5. What structure did Friedrich Kekule discover that allowed carbon atoms can bond
with up to four other atoms at the same time?
helppppppppppppppppp
Answer:
It is A when the firework explodes it creates heat and which makes different colors
Explanation:
Which is not an Ultimate Frisbee rule?
the complete range of light waves organized by wavelength frequency
The complete range of light waves, organized by wavelength and frequency, is known as the electromagnetic spectrum. The electromagnetic spectrum encompasses all forms of electromagnetic radiation, ranging from the longest wavelengths to the shortest.
Starting from the longest wavelengths and lowest frequencies, we have radio waves, which are used for communication and broadcasting. As the wavelengths decrease and frequencies increase, we encounter microwaves, commonly used in cooking and telecommunications.
Continuing, we have visible light, which is the narrow range of wavelengths that can be detected by the human eye. It includes the colors of the rainbow from red (longest wavelength) to violet (shortest wavelength).
Beyond visible light, we encounter ultraviolet waves, X-rays, and gamma rays. Ultraviolet waves are responsible for sunburn and have applications in sterilization and fluorescent lighting.
X-rays are used in medical imaging, and gamma rays have the shortest wavelengths and highest frequencies, being emitted during nuclear reactions.
In summary, the electromagnetic spectrum consists of radio waves, microwaves, infrared waves, visible light, ultraviolet waves, X-rays, and gamma rays, organized in order of increasing frequency and decreasing wavelength.
To know more about electromagnetic refer here:
https://brainly.com/question/23727978#
#SPJ11
HELP ME! PLEASE! SOMEONE! THIS QUESTION IS VERY HARD! THERE ARE 3 ANSWERS! HELP ME PLEASE! MAKE SURE TO EXPALIN
Question:
The teacher told Fatima that all types of energy are kinetic energy, potential energy, or both. Fatima drew this diagram to help her organize this information. She then sorted each type of energy into its correct category: chemical, electrical, electromagnetic, mechanical, nuclear, and thermal.
Three of the types of energy can be either kinetic or potential energy. Identify these three types. For each type, explain why it can be either kinetic or potential.
Answer:
search up the kinetic energy and potential energy etc. then take them and look at the characteristica are they the same? What makes them similar? Why are they different ? How? Then add the chemical nuclear and electrical changes it creates. Now the rest! There you’ve got this! If you need support I’m here! Hope this helped!
Explanation:
What is the speed of an object that travels 60 meters in 4 seconds?
a) 240 m/s
b) 15 m/s
c) 0.067 m/s
d) 15 mph
Answer:
B) 15 m/s
Explanation:
Since most of the answer choices are in m/s, you can try dividing 60 meters/4 seconds in order to get the seconds on the bottom to become 1 second.
You want to find how many meters the object can travel in 1 second, rather than 4 seconds.
\(\frac{60 \ m}{4 \ s} \div \frac{4}{4} = \frac{15 \ m}{1 \ s}\)Now you can see that for every 1 second of time, the object can travel 15 meters. This corresponds to answer choice B) 15 m/s.
The last option, D, is incorrect because we are not dealing with hours as our unit of time. We are dealing with seconds.
Answer:
b) 15 m/s
hope it help you
A golf ball thrown on the floor rebounds with a speed less than the initial speed.
Please help; Q's A,B and C.
The magnitude of the ball's change in velocity is 2 m/s. The direction of the change in velocity is downwards.
What is magnitude ?In physics, magnitude is a measure of the size or intensity of a physical quantity, such as length, mass, temperature, pressure, or energy. Magnitude is often expressed as a numerical value, and is usually related to the physical property being measured. For example, the magnitude of a length measurement is the length itself, while the magnitude of a temperature measurement is the temperature reading. Magnitude is also used to describe the size of a star or other astronomical object, such as a planet. It is typically expressed as a number on a logarithmic scale, where a lower number indicates a brighter object and a higher number indicates a dimmer object.
To learn more about magnitude
https://brainly.com/question/24256733
#SPJ1
Assuming that systems with greater amplitude are easier to observe are we more likely to observe a system with an inclination near 0° or 90°. Explain.
The inclination of a system refers to the angle between the plane of the system and the plane of the sky as seen from Earth. A system with greater amplitude will have larger variations in brightness and thus will be easier to observe.
The amplitude of a system depends on the geometry of the system and the angle at which it is viewed. For example, a system viewed edge-on (i.e. with an inclination of 90°) will have a larger amplitude than a system viewed face-on (i.e. with an inclination of 0°), because the edge-on view will show more of the system's structure and produce larger variations in brightness.
Therefore, if we assume that systems with greater amplitude are easier to observe, we would be more likely to observe a system with an inclination near 90° than one with an inclination near 0°. This is because an edge-on view would produce larger variations in brightness, making the system easier to detect and study. However, it is important to note that the inclination angle is just one factor affecting the detectability of a system, and other factors such as distance, size, and brightness also play a role.
Learn more about amplitude:
https://brainly.com/question/3613222
#SPJ11
A ball is thrown directly upward with an initial speed of 72 m/s. How much time passes before the ball reaches the highest point it will ever reach
Answer:
7.35 seconds
Explanation:
The computation of the time passed prior to the ball reached to the highest point is as follows;
As we know that the acceleration because of gravity on earth is 9.8 m/s
As the ball is thrown directly in an upward direction with a speed of 72 m/s
So, the time passed prior to the ball reached to the highest point is
= 72 ÷ 9.8
= 7.35 seconds
Hence, the above represents the answer
What value of resistor R gives the circuit in the figure a time constant of 22 μs ?
The value of resistor R that gives the circuit in the figure a time constant of 22 μs is 220 Ω.
The circuit that is in the figure is shown below:Given that time constant (RC) = 22 μs. To find the value of resistor R, we need to use the formula for the time constant:
RC = τ, where R is the resistance and C is the capacitance of the circuit.
Rearranging the above formula, we get:R = τ / C
Where τ is the time constant and C is the capacitance of the circuit.
From the figure, the capacitance is given as 0.1 μF
.Substituting the values of τ and C in the above formula, we get:
R = (22 × 10⁻⁶ s) / (0.1 × 10⁻⁶ F)
R = 220 Ω
Learn more about resistance at
https://brainly.com/question/31504283
#SPJ11
for which colour of light is. the index of refraction of glass largest
Answer:
don't know sorry for the irreverent answer..
Answer:
The index of refraction varies with frequency, it doesn't change as light travels from one medium to another, As violet colour has the shortest wavelength and so the refractive index is maximum for it.
give reason
3. Glass vessel cracks when hot water is poured.I will mark he or she brainiest if the answer is correct.
Answer:
local stresses may exceed the limits of the glass
Explanation:
When hot water is applied locally to a portion of a glass vessel, it causes the immediate area to expand. That expansion stresses the region around the expanding area. The stresses may exceed the limit the glass can tolerate, so cause the glass to crack.
__
This was brought home rather dramatically when a strong stream of cold water was run into a glass container full of hot water. The bottom contracted and literally fell out.
which of these makes surface mining less risky than underground mining?
Answer:
B
Explanation:
If you really read and dissect every other question they do not make sense
What is the velocity of a wave with a frequency of 930 Hz and a wavelength of 0.50 m?
Answer:
Hi, thank you for posting your question here at Brainly.
To find the velocity of light or any electromagnetic wave, we use the equation: v = wavelength * frequency. Substituting,
v = 0.5 m * 930 1/s
v = 465 m/s
Brainiest please
Explanation:
6th grade science !!!!!!!!!!!!!!!
Answer:
71
Explanation:
Answer:
B. 71 percent
Explanation: if you look at Earth from space you can tell that most of the Earth are blue, but not all of it. There is still alot of land but much more water. I have checked on the internet, it is the correct answer. if not, i gotta say. it's not my fault, I swear.
A solar-powered car has a kinetic energy of 110250 J. Its mass is 180 kg. Work out how fast the car is travelling Enter a number m/s
Answer: Velocity = v = 35 m/s
Explanation:
Kinetic energy of an object is defined as the energy possess by an object due to its motion. Kinetic energy K.E of an object is equal to the half of the mass of that object multiplied by square of the object's velocity.
Mathematically,
v = 35 m/s
What might happen if you were in a braking car and you weren’t wearing your seatbelt?
Answer:
well it depends on how fast for short its B
Explanation:
According to this graph, the acceleration
is approximately:
Velocity (m/s)
1 2 3 4
Time t(s)
5
A. 4 m/s2
B. 2 m/s2
C. 1 m/s2
D. 3 m/s2
The acceleration is approximately 4 m/s². Therefore, the correct answer is:
A. 4 m/s²
To determine the acceleration from the graph, we need to look at how the velocity changes over time. Acceleration is defined as the rate of change of velocity with respect to time. In other words, it is the slope of the velocity-time graph.
Looking at the graph, we can see that the velocity changes from 0 m/s to 4 m/s over a time interval of 2 seconds. To calculate the acceleration, we use the formula:
Acceleration (a) = Change in velocity / Change in time
Acceleration (a) = (4 m/s - 0 m/s) / (2 s) = 4 m/s²
So, the acceleration is approximately 4 m/s². Therefore, the correct answer is:
A. 4 m/s²
To Know more about acceleration here
https://brainly.com/question/1643459
#SPJ2
A permanent magnet cannot be used in electrical bell .Why?
Answer:
we can not use permanent magnets in radio and electric bells , because permanent magnets loose their property after some time whereas we can change the properties of electromagnet.
What is directly created when radiation from the Sun heats air in the atmosphere?
erosion
humidity
precipitation
wind
Answer:
Wind
Explanation:
I had this question on one of my tests, and I got it right
Describe each part of the scentific method explain why it is important to follwo this structure when conducting a scietifc investigation
Answer:
Asking a question
Research existing sources
Define an hypothesis
Design and conduct a study
Draw conclusion
Report result.
Explanation:
Scientific study simply means establishing the existence or proving the veracity of an hypothesis, hence making it a fact. A scientific study follows an orders set of procedure;
Asking a question is the first step as this is what prompts the research, question usually stems after making an observation.
The a observation made and question asked will lead to making research on the observed phenomenon, this is to check if such question has been asked in the past and maybe any scientific study as been carried out in the past.
To make research further, an hypothesis is defined in a bid to find more evidence to support one's observation through experiment.
Study design and implementation is next as the type of study to be embarked upon will determine which type of design preparation and study pattern to deploy.
Conclusion a d report of observations made are the last part of a scientific study which is key as all outcomes of the study should be adequately detailed in an understandable format while also ensuring reproducibility.
if our estimates of the number of comets in every part of the solar system are correct, the total mass contained in comets must be:
To find the total mass contained in comets in the entire solar system, simply add up the masses calculated in step 3 for each region.
If our estimates of the number of Comets in every part of the solar system are correct, the total mass contained in comets can be calculated by following these steps:
1. Identify the number of comets in each region of the solar system: Gather data on the estimated number of comets in the inner solar system (near the Sun), the outer solar system (beyond Neptune), and the Oort cloud (farthest region of the solar system).
2. Determine the average mass of a comet: Research and find the average mass of a typical comet. Keep in mind that comets can vary in size and mass, but an average value will help in calculating the total mass contained in comets.
3. Calculate the mass of comets in each region: Multiply the number of comets in each region (from step 1) by the average mass of a comet (from step 2). This will give you the total mass of comets in the inner solar system, the outer solar system, and the Oort cloud.
4. Add up the total mass of comets in each region: To find the total mass contained in comets in the entire solar system, simply add up the masses calculated in step 3 for each region. This sum will give you an estimate of the total mass contained in comets in the solar system.
To Learn More About Masses
https://brainly.com/question/29077312
#SPJ11
1) Do waves transport energy or matter?
The spring mass system shown in Figure 2 is released from rest. The mass m slides vertically on the smooth rod. If the spring has a spring constant k and is unstretched at the position shown in the figure, determine the equations of motion for the mass.
Since I don't have access to the specific Figure 2 you mentioned, I won't be able to provide you with the exact equations of motion for the mass in the given system. However, I can provide you with a general framework for determining the equations of motion for a spring-mass system.
In a spring-mass system, the forces acting on the mass include the gravitational force (mg) and the spring force (kx), where m is the mass of the object, g is the acceleration due to gravity, k is the spring constant, and x is the displacement of the mass from its equilibrium position.
Using Newton's second law (F = ma), we can set up the equation of motion for the mass:
m * (d^2x/dt^2) = -kx - mgThis is a second-order linear differential equation, where (d^2x/dt^2) represents the acceleration of the mass with respect to time.
To solve this equation and obtain the equations of motion for the mass, you would need to apply appropriate initial conditions, such as the initial position and velocity of the mass.
If you can provide more specific information or a detailed description of the system in Figure 2, I can assist you further in determining the equations of motion.
About VelocityVelocity is a vector quantity that indicates how fast an object is moving. The magnitude of this vector is called speed and is expressed in meters per second. Velocity or speed: the quotient between the distance traveled and the time interval. Velocity or speed is a scalar quantity. Speed or velocity is the quotient of the displacement with the time interval. Speed or velocity is a vector quantity.
Learn More About Velocity at brainly.com/question/80295
#SPJ11
i will give 50 pts and brainliest
Please helpp!!!!
What do you think we need to do to minimize climate changes growing impact?
Answer:
Limiting the use of fossil fuels such as oil, carbon and natural gas and replacing them with renewable and cleaner sources of energy, all while increasing energy efficiency
Explanation:
What is the speed in meters per second of a car that is travelling at 82km/h?
Answer:
22.777777777777 m/s
Explanation:
Since 1 kilometer is 1000 meters, then 82 km is 82000 meters. Since one hour is the same as 3600 seconds, then the answer is pretty simple: 82000/3600 or 820/36. That gets you 22.77777 or 22.78. Hope this helps
Two tugboats are moving a large barge west. tugboat a pushes with a force of 3000n on the barge and tugboat b pulls with a force of 5000n in the same direction. what is the net force?
According to the given statement , the net force acting on the barge is 8000N.
The net force is the sum of the individual forces acting on an object. In this case, tugboat A is pushing the barge with a force of 3000N, and tugboat B is pulling the barge with a force of 5000N in the same direction. To find the net force, we need to add these two forces together.
Net force = 3000N + 5000N
Net force = 8000N
So, the net force acting on the barge is 8000N.
To more about force visit:
https://brainly.com/question/30507236
#SPJ11
A space rocket is launched and accelerates uniformly to 160 m/s in 4.5 s. Calculate the acceleration of the rocket.
Answer:
35.56 m/s²Explanation:
The acceleration of an object given it's velocity and time taken can be found by using the formula
\(a = \frac{v}{t} \\ \)
v is the velocity
t is the time
From the question we have
\(a = \frac{160}{4.5} = 35.55555...\)
We have the final answer as
35.56 m/s²Hope this helps you