for an object in free fall, calculate the rate of change of the velocity from the first to the 100th second (metric units).

Answers

Answer 1

Answer:

The rate of change of velocity is 9.81 m/[tex]s^2[/tex].

Explanation:

By using the equation of motion, the velocity of any object in free fall at any instant, [tex]v=u+gt[/tex]

Where u (constant) is the initial velocity,

[tex]g=9.81 m/s^2[/tex] is the acceleration due to gravity,

v= velocity at time t.

To get the rate of change of velocity, differentiating the velocity, v, with respect to time, as

[tex]\frac {dv}{dt}=\frac{d}{dt}(u+gt) \\\\=\frac{d}{dt}u +\frac{d}{dt}(gt) \\\\=0+g\\\\=g[/tex]

[tex]\Rightarrow \frac{dv}{dt}=9.81 m/s^2[/tex]

Hence, the rate of change of velocity is 9.81 m/[tex]s^2[/tex].


Related Questions

What PLACE is the 8 in in the number 38,341,097.54

Answers

Answer:

The millions place.

Explanation:

will you help me please

Answers

Answer: True

Explanation: It's true because the definition of a Command economy states that it's an economy in which production, investment, prices, and incomes are determined CENTERALLY by a GOVERNMENT.


Which diagram best shows the results of removing heat from the original sample until it freezes?

Answers

Answer:

b

Explanation:

the closest molecules are in b witch would be a solid

Describe the last three years of your life. Include positive and negative experiences.
For a middle school girl

Answers

Answer:

my middle school life was horrible and still is sadly ); could you please do my recent brainless <333

Explanation:

My middle school life was eh.i allways got assumed that i was a elementry kid when i was and 6 and 7 grade.until 8th when i hit my grow spurt.my voice end up getting really deep in 8th grade too.tho in 8th i got sent to a certain  type of scholl for kids who did bad because of some dum teacher who lied that i hit her when i actually just went to her desk to get my phone sence she saw it in my pocket and took it away.i got sent there for 3 months and was worst thing ever.the treated us like prisoners in that school and made us tacky uniforms that i refused to where.i believe it was a school for 7th-12th.after my expierence at that school my expierence in 8th grade was almost done.i end up being popular at school for being that kid who hit the teacher.ofc that was like 2 years ago im 10th now.i dont really remember my 6th and 7th grade year.only thing i rember is i was a trouble maker and still am a trouble maker.

hope that helped you:)

please make my answer brainiest as im trying get 4 brainiest answers

the acceleration due to gravity of the moon is 1.67

Answers

Answer:

I think it's 1.625 m/s2

How does hydraulic equipment work?​

Answers

Answer:

Hydraulic systems work by using pressurized fluid to power an engine. These hydraulic presses put pressure on a small amount of fluid in order to generate a large amount of power. That pressure forces it against a piston on the other side of the container.

what is the uses of space weather data?​

Answers

Answer:

Space Weather Data

They are used to produce forecasts, such as the monthly sunspot number forecast. Most notably, sunspot numbers represent one of the longest continuous climate records available. The data give scientists the means to make many forecasts and issue space weather advisories and alerts.

Explanation:

22. State any three features of the electroscope.​

Answers

-1- was created in the 1600 by william gilbert
-2-When the charge is positive, electrons in the metal of the electroscope are attracted to the charge and move upward out of the leaves. This results in the leaves to have a temporary positive charge and because like charges repel, the leaves separate. When the charge is removed, the electrons return to their original positions and the leaves relax
3-

An electroscope is made up of a metal detector knob on top which is connected to a pair of metal leaves hanging from the bottom of the connecting rod. When no charge is present the metals leaves hang loosely downward. But, when an object with a charge is brought near an electroscope, one of the two things can happen.

The sun's energy begins as what form of energy?

Answers

Answer:

nuclear energy.............

The sun's energy begins in the nuclear form of energy. Nuclear energy is the origin of the sun's energy.

Nuclear energy originates from the sun's energy. Nuclear fusion processes happen at the sun's core, transforming protons from hydrogen into helium and releasing a tremendous amount of energy in the process. Nuclear fusion is the term for this action.

Helium nuclei are created from the collision and fusion of hydrogen nuclei in the sun's core, which experiences extremely high temperatures and pressures. An enormous quantity of energy is released during the nuclear fusion process in the form of electromagnetic radiation, especially visible light photons and other types of electromagnetic radiation.

The intense heat and brightness of the sun are maintained by the energy generated by nuclear fusion in its core, giving it a potent source of light and heat that sustains life on Earth and powers a variety of atmospheric and climatic processes.

Hence, the sun's energy begins in the nuclear form of energy. Nuclear energy originates the sun's energy.

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A ball of mass 0.12kg is hit by a tennis player. The velocity of the ball changes from 0m/ s to 5.0m/s in 0.60s. What is the average resultant force acting on the ball while it is being hit?
A 1.0N B 2.5N C 3.6N D 8.3N
(Please add explanation)

Answers

Answer:

A. 1.0N

Explanation:

According to Newton's second law

F = ma

m is the mass = 0.12kg

a is the acceleration = v-u/t

a = 5-0/0.6

a = 5/0.6

a = 8.333m/s²

Get the force

F = 0.12 * 8.333

F = 1.0N

Hence the average resultant force acting on the ball while it is being hit is 1.0N

Epithelial tissues often form the lining of organs and secrete substances such as digestive enzymes.

True
False

Answers

Answer:

ohh yes. answer is true

False it’s false false false

A metre rule is used to measure a length. Which reading is shown to the nearest millimetre? A 0.7m B 0.76m C 0.761m D 0.7614m

Answers

Answer:

none

Explanation:

~both of them show to the nearest metre.

~millimeter has (mm) unit eg 0.7mm

0.76cm is the correct answer

bcoz after Mili metre there is centi metre so option c is correct

[tex]\frak{\huge{Mark \: me \: brainliest}}[/tex]

A battery is the power source for what type of current

Answers

Answer: DC Current

Explanation:

Battery is a source of constant potential difference and it will create a constant voltage across any conductor

due to this constant voltage difference the current in this conductor will remain constant

So here since the voltage across the conductor is constant so we can say that current in the conductor will remain constant and hence this is known as DC current.

While for variable current in direction and magnitude is to be obtained only when the conductor is connected with AC voltage source as we know that AC voltage is variable with magnitude and direction both

A battery is the power source for DC type of current.  A battery is a source of constant potential difference that produces a constant current unlike in AC source where the voltage and hence the current changes its polarity continuously.Hence, the current produced by battery is direct current and not Alternating current.

Hope this helps........ Stay safe and have a Merry Christmas!!!!!! :D

What is the cause of any sound wave?

Answers

Answer:

When an object vibrates, it causes movement in surrounding air molecules. These molecules bump into the molecules close to them, causing them to vibrate as well. This makes them bump into more nearby air molecules. This “chain reaction” movement, called sound waves, keeps going until the molecules run out of energy.

Explanation:

What disease did Isaac Newton barely escape?

Answers

Answer:

the great plague

Explanation:

what is the velocity for an object at rest?

Answers

Answer:

e

Explanation:

An object at rest has zero velocity - and (in the absence of an unbalanced force) will remain with a zero velocity. Such an object will not change its state of motion (i.e., velocity) unless acted upon by an unbalanced force.

Answer:

If an object is at rest, it has no velocity - its velocity is zero. More precisely, since velocity is a vector, in this case the velocity would be the null vector.

Explanation: Hope this helps

PLEASE HELP ME ASAP!!!!!!
Quincy is monitoring the movement of a particle along the x-axis of an x-y plane. The velocity is negative, and the acceleration is positive. Which of the following describes what Quincy observes?

a. The particle is moving in a negative direction, and its speed is increasing.
b. The particle is moving in a positive direction, and its speed is increasing.
c. The particle is moving in a positive direction, and its speed is decreasing.
d. The particle is moving in a negative direction, and its speed is decreasing.

Answers

Answer:

c. The particle is moving in a positive direction, and its speed is decreasing.

Answer:

d. The particle is moving in the negative direction, and its speed is decreasing

Explanation:

What is the kinetic energy of a jogger with a mass of 70.8 kg traveling at a speed of 2.4 m/s?

90 points if you get it right :)

Answers

Kinetic energy equation is KE= 1/2mv^2. So plug in the numbers and you get a Kinetic Energy of 203.904 J

(a) As you ride on a Ferris wheel, your apparent weight is different at the top and at the bottom. Explain. (b) Calculate your apparent weight at the top and bottom of a Ferris wheel, given that the radius of the wheel is 7.2 m, it completes one revolution every 28 seconds, and your mass is 55 kg.

Answers

Answer:

a. The component of the net force which make up the apparent weight are added to each other at the bottom and subtracted (the centripetal force from the weight) at the top)

b. Apparent weight at the top is approximately 519.06 N

Apparent weight at the bottom is approximately 558.94 N

Explanation:

a. The apparent weight at the top is different from the apparent weight at the bottom of a moving Ferris wheel because of the opposite direction in which the centripetal force acts at the top and the bottom, which are upwards and downwards respectively, while the weight acts downwards constantly

b. The given parameters are

The radius of the Ferris wheel, r = 7.2 m

The period for one complete revolution, t = 28 seconds

The angle covered in one revolution, θ = 2·π radian

The mass of the person riding on the Ferris wheel, the passenger  = 55 kg

Therefore, we have;

The angular speed, ω = Δθ/Δt = 2·π/(28)

From which we have;

Centripetal force, [tex]F_c[/tex] = m × ω² × r

Substituting the known values, we have [tex]F_c[/tex] = 55 kg × (2·π/(28 s))² × 7.2 m ≈ 19.94 N

The centripetal force, [tex]F_c[/tex] = 19.94 N always acting outward from the center

Weight = Mass × Acceleration due to gravity

The weight of the passenger = 55 kg × 9.8 m/s² = 539 N

The weight of the passenger = 539 N always acting downwards

At the top of the Ferris wheel the the centripetal force is acting upwards and the weight is acting downwards

Therefore;

The net force, which is the apparent weight of the passenger at the top [tex]F_{NET_{Top}}[/tex] = 539 N - 19.94 N ≈ 519.06 N

Apparent weight at the top ≈ 519.06 N

At the bottom of the Ferris wheel the weight is acting downwards and the centripetal force is also acting downwards

Therefore;

The net force at the bottom, which is the apparent weight of the passenger at the bottom [tex]F_{NET_{bottom}}[/tex] = 539 N + 19.94 N ≈ 558.94 N

Apparent weight at the bottom ≈ 558.94 N.

Explain why the potential differences across each bulb do not add to the battery’s voltage, when the switch is closed.

Answers

Answer:

This is due to the gap in between the switch. So the applied energy is not converted to current even though the resistance is still there. Hence voltage will be there, where you applied it

Explanation:


1. A man is running on the straight road with the uniform velocity
3 m/s. Calculate acceleration produced by him.​

Answers

None he is undergoing constant uniform velocity. Acceleration is the rate of change of velocity
1 . your answer will be a man is running on the straight road with uniform velcocity

The temperature of rock located 1,000 kilometers below the Earth's surface is about a. 200 C b.2,100 C c.2,800 C d.3,200 C

Answers

The temperature would be 3,200 °C!!

Brainliest, please! <3

The temperature of the rock located at 1,000 km below the earth' surface has been 3200 degree Celsius. Thus, option D is correct.

The temperature at the earth's surface has been found to be nearly 0 degree Celsius. According to the geology of the earth, the temperature has been increased to 1500 degree Celsius by digging 100 km below the earth surface.

Thus, the temperature at 100 km from earth surface has been 1500 degree Celsius.

On moving down from 100 km, there has been a rise in temperature, and at the mouth of the mantle at 1000 km, the temperature has been approximately 3500 degree Celsius.

Thus the temperature that has been near  about 3500 degree Celsius is 3200 degree Celsius. Thus, the temperature of the rock at 1000 km below the earth surface has been 3200 degree Celsius. Thus, option D is correct.

For more information about the temperature of earth, refer to the link:

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Who was the first person to study polarization of light?
-Huygens
-Newton
-Galileo
-Copernicus

Answers

Answer:

HUYGENS, CAN I S HAVE BRAINLIST?

Answer:

None

Explanation:

It is erasmus bartholinus

the diagram shows the apparent motion of the sun across the sky?

Answers

The answer is “B” hope I helped

Answer:

The earth rotates west to east

Explanation:

Considering that the sun doesn't really move and the earth is rotating around the sun, and it is moving from east to west with us (the earth) facing it in which means the earth rotates around the sun west to east!

When you know both the speed and direction of an object’s motion, you know the

Answers

Answer:

When you know both the speed and direction of an object's motion, you know the velocity of the object.

When you know both the speed and direction of an object’s motion, you know the magnitude of the speed and direction in which it is moving.

What is Speed ?

Speed is a rate of change of distance with respect to time. i.e. v =dx÷dt.

Speed can also be defined as distance over time

i.e. speed= distance ÷ time

it is denoted by v and its SI unit is m/s. it is a scalar quantity. i.e. it has only magnitude not direction. ( velocity is a vector quantity, it has both magnitude and direction. when we define velocity, we should know about its direction)

Speed shows how much distance can be traveled in unit time.

As speed is scalar quantity it has nothing to do with the direction. but when magnitude of speed is given and the direction as well, then we can say that a car or body is moving with this much speed at this direction(east, north, west, south).

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How did Galileo increase public support for Copernicus’s model?

by publishing his work in Italian
by using data collected by Tycho Brahe
by explaining why planets appear to move backward
by arguing that Earth’s rotation makes objects appear to move in the sky

Answers

Galileo increases public support for Copernicus's model by publishing his work in Italian. Thus option a is correct.

Copernicus's model has been the heliocentric model of the universe given by Nicolaus Copernicus. According to the model, the sun has been the center of the universe, and the planets are revolving around the Sun in a circular path, and at a constant speed.

This idea of Copernicus has been against religious belief and thus has not been accepted. However, the development of Keplar's law helps in the better understanding of Copernicus's model.

Galileo increases public support for Copernicus's model by publishing his work in Italian. Thereby finally the model has been published in 1543. Thus option a is correct.

For more information about Copernicus's model, refer to the link:

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Answer: The answer is: by publishing his work in Italian

Explanation: credit to the guy above me!

Have a great day!

-Sunny

help pls i need this right now

Answers

Answer:

C = - 1.625 i + 6.06 j

Explanation:

Positive angles are measured counterclockwise.

Positive angles are measured counterclockwise. To determine the component on the x axis we use the cosine of the angle while to determine the component on the y axis we use the sine of the angle.

[tex]C_{x}=6.28*cos(105)=-1.625\\C_{y}=6.28*sin(105)=6.06\\[/tex]

C = - 1.625 i + 6.06 j

Select the reset button on the lab activity. Select the boy icon. Select the middle note located
in the bottom right of the lab activity. Select the GO button. What happened to the pitch of the
sound as the sound source moved past the observer? Record your observations.

Answers

Answer:

You need to include the website and stuff?

Explanation:

Please help!
A stone of mass 50 g is placed in a measuring
cylinder which contains some water.
The reading of the water level increases from
30 cm to 40 cm
What is the density of the stone?​

Answers

Answer:

Answer:

3 g/cm          

Explanation:

Mass of stone = 30 g

Initial volume of cylinder = 50 cm

Increased volume = 60 cm

Volume = 60-50

= 10 cm

Density of stone = Mass/Volume

= 30/10

= 3 g/ml            as 1 ml = 1 cm

= 3 g/ml          

Explanation:

The mass of Saturn is 5.69 · 10^26 kg. Calculate the gravitational field that it exerts on its Mimas satellite, knowing that the mean radius of its orbit is 186,000 km. Data: G = 6.67 · 10^-11 N · m2 · kg ^-2.

Answers

Answer:

The gravitational field that Saturn exerts on the satellite, Mimas is approximately 1.097 m/s²

Explanation:

The given mass of Saturn = 5.69 × 10²⁶ kg

The radius of the orbit of the Mimas satellite = 186,000 km

The gravitational constant, G = 6.67 × 10⁻¹¹ N·m²·kg⁻²

From Newton's law of gravitation, we have;

[tex]The \ gravitational \ field =G\times \dfrac{M}{R^{2}} = 6.67 \times 10^{-11} \times \dfrac{5.59 \times 10^{26}}{(186,000,000)^2} \approx 1.097[/tex]

6.67 × 10⁻¹¹ *(5.69 × 10²⁶)/(186,000,000)²

The gravitational field that Saturn exerts on the satellite, Mimas ≈ 1.097 m/s².

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Afican trade natrual resources Solve the inequality Graph the solution set 7 + 4k 23 HELP ME PLEASE WITH GIVE YOU BRANLEST 20 POINTS Please helppp! My work is do tmr! Easy 10 points please please please help i can't do this anymoreGraph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:y < 4x 2 y is greater than or equal to negative 5 over 2 times x minus 2Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)Part B: Is the point (2, 2) included in the solution area for the system? Justify your answer mathematically. (4 points)(10 points)if you abuse the amount of points I put on this question I will report you okay I need an answer to this from scale through 1 to 10 how much naughtier can my cat be like I need some good answers During the Middle Ages, JewsA. controlled territory in much of Europe B. began several important universities C. were discriminated against throughout Europe D. had a string alliance with Muslims which of the following could be classified as producing a physical change? what has ears but can not hear???????? biggg factsssslm.aoo I prefer chicken __.a.than fish b.to fishc.better than fish Suppose the Digby company expands to other markets with good designs, high awareness and easy accessibility, what strategy would they be implementing? A- Niche cost leader B- Niche differentiation C- Broad cost leader D- Broad differentiation Read the excerpt from act 1 of The Monsters Are Due on Maple Street. STEVEThe two of us can go, Charlie.(he turns to look back at the car)It couldnt be the meteor. A meteor couldnt do this.He and Charlie exchange a look then they start to walk away from the group.What do the stage directions tell the reader about Steves and Charlies point of view?They do not want to leave their homes and walk into town.They suspect something strange may be going on.They know what caused the flash of light but do not want to say it.They are angry at the group of people for making them leave. Corporation produces shiny discs. A special order has been placed by the customer for 2,200 units of the shiny disc for $27 a unit. While the disc would be modified slightly for the special order, the normal unit product cost for each disc is $20.50: Direct materials $ 5.80 Direct labor 4.00 Variable manufacturing overhead 2.90 Fixed manufacturing overhead 7.80 Unit product cost $ 20.50Assume that direct labor is a variable cost. The special order would have no effect on the company's total fixed manufacturing overhead costs.The customer would like modifications made to each disc that would increase the variable costs by $1.90 per unit and that would require an investment of $16,000 in special equipment that would have no salvage value.This special order would have no effect on Rick Corp.'s other sales. The company has enough spare capacity for producing the special order.What would be the annual financial advantage (disadvantage) for Rick as a result of accepting this special order?a. $40,760b. ($15,700)c. ($2,000)d. $16,200 1. While riding a chairlift, a 55-kg skier is raised a vertical distance of 370 m. What is the total change in the skier's gravitational potential energy Which are the purposes of government? Reese is selling lemonade at the parade. He gets to keep 50% of the money he collects. A large lemonade is $6.00 and a small lemonade is $2.00. The expression represents 50% of the money he collects. 0.50(6l + 2s) Use the Distributive Property to expand the expression. The simplified expression is help pls .......... Which statement BEST describes the views of Voltaire, the outspoken French philosopher of the Enlightenment? Use this rule: y = -x + 4 What number are you multiplying by?