A sprinter speeds up to 3 m/s during the last 2 seconds of the race with an
acceleration of 0. 4 m/s 2 . What was the initial speed of the sprinter?

Answers

Answer 1

Answer:

The initial speed of the sprinter was 2.2 m/s

Explanation:

Constant Acceleration Motion

It's a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.

The following relation applies:

[tex]v_f=v_o+at[/tex]

Where a is the constant acceleration, vo the initial speed, vf the final speed, and t the time.

The sprinter speeds up from an unknown initial speed to vf=3 m/s in t=2 seconds with an acceleration of [tex]a=0.4~m/s^2[/tex].

To find the initial speed, we solve the equation for vo:

[tex]v_o=v_f-at[/tex]

Substituting the values:

[tex]v_o=3-0.4*2[/tex]

[tex]v_o=3-0.8[/tex]

[tex]v_o=2.2~m/s[/tex]

The initial speed of the sprinter was 2.2 m/s


Related Questions

answer all please!!!!!!!!!!✌​

Answers

Answer:

koj ruam zog

Explanation:

Answer:

the answer of 7th question

Make sure your dishwasher is full before you use it – running a half-empty dishwasher wastes large amounts of energy

Try to use a cooler temperature

Consider drying your clothes outside if it’s warm instead of using the dryer

Turn off the fan when you leave a room

Close your drapes or drop your window shades during the day.

Wash your clothes in cold water.

Wrap or cover foods and drinks in the refrigerator.

Always use the cold water faucet, unless you really want hot water.

the answer of 10th question

Static electricity is used in pollution control by applying a static charge to dirt particles in the air and then collecting those charged particles on a plate or collector of the opposite electrical charge. These devices are commonly known as “electrostatic precipitators.

Snails crawl very slowly. If a garden snail crawls at 0.013 m/s north, how far will it travel in 60 seconds?

Answers

Answer:

.78 m/s north

Explanation:

Pls give brainliest if I correct

brainlists please help

on the coner opposite of 8n is 5n​

Answers

Answer:

resultant force=16N→(TOWARDS THE DIRECTION OF 8N)

Explanation:

resultant force=8N+13N-5N

                        =16N→(TOWARDS THE DIRECTION OF 8N)

To illustrate the use of a multistage rocket consider the following:
(a) A certain rocket carries 60% of its initial mass as fuel. (That is, the mass of fuel is 0.6mo) What is the rocket's final speed, accelerating from rest in free space, if it burns all its fuel in a single stage? Express your answer as a multiple of v ex .
(b) Suppose instead it burns the fuel in two stages as follows: In the first stage it burns a mass 0.3m o of fuel. It then jettisons the first-stage fuel tank, which has a mass of 0.1m o , and thenburns the remaining 0.3m 0 of fuel. Find the final speed in this case, assuming the same value of vex throughout and compare.

Answers

Answer:

a

 [tex]v_f = 0.916 v_{ex}[/tex]

b

 [tex]v_f = 1.05 v_{ex}[/tex]

Explanation:

Considering question a

From the question we are told that

   The mass of the rocket is  [tex]m_o[/tex]  

    The mass of the fuel which is in the rocket is  m = 0.6 M  

Generally given that the rocket burns all it fuel in a single stage , the final velocity of the rocket is mathematically represented as

          [tex]v_f = v_{ex} ln [\frac{m_o}{m_k} ][/tex]

Here [tex]m_k[/tex] is the mass  of the rocket without fuel which is mathematically evaluated as

        [tex]m_k = m_o- m[/tex]

=>      [tex]m_k = m_o -0.6m_o[/tex]

=>    [tex]m_k = [1- 0.6] m_o[/tex]

=>      [tex]v_f = v_{ex} ln [\frac{m_o}{[1 - 0.6]m_o} ][/tex]    

=>      [tex]v_f = 0.916 v_{ex}[/tex]

Considering question b

From the question we are told that

   The mass of the fuel it burn at the first stage is  [tex]m = 0.3 m_o[/tex]

     The mass of the first stage fuel tank [tex]m_1 = 0.1 m_o[/tex]

    The mass of the fuel at the second stage is  [tex]m_f = 0.3m_o[/tex]

Generally the  velocity of the rocket at the first stage  is mathematically represented as

           [tex]v_i = v_{ex} * ln [ \frac{m_o }{[1- m]m_o } ][/tex]

=>         [tex]v_i = v_{ex} * ln [ \frac{m_o }{[1- 0.3]m_o } ][/tex]

=>         [tex]v_i = v_{ex} * ln [ \frac{1 }{0.7 } ][/tex]  

=>         [tex]v_i =0.357 v_{ex}[/tex]

Generally the mass of the rocket after first stage is  

    [tex]m_r = m_o - 0.3m_o -0.1m_o[/tex]

=>   [tex]m_r = 0.6m_o[/tex]

Generally the final  velocity of the rocket at the second stage is  

     [tex]v_f = v_i + v_{ex} * ln [\frac{m_r}{ m_f } ][/tex]

=>   [tex]v_f = v_i + v_{ex} * ln [\frac{0.6 m_o }{0.3mo } ][/tex]

=>   [tex]v_f = 0.357 v_{ex} + 0.693 v_{ex}[/tex]

=>   [tex]v_f = 1.05 v_{ex}[/tex]

 

Current 1 of 8.4 A runs for 240 seconds and then stops. Current 2 is 10.5 A. How long does current 2 have to run to deliver the same amount of charge as current 1?

Answers

Current 1: 8.4 * 240 = 2,016 A delivered.

Current 2: 10.5 * t = 2,016
Divide each side by 10.5
t = 192

Current 2 needs to run 192 seconds to deliver the same amount of charge as current 1

This question involves the concepts of current and charge.

Current 2 has to run for "192 s" to deliver the same amount of charge as current 1.

Current

The current is defined as the amount of charge passing per unit time. Mathematically,

[tex]I=\frac{q}{t}\\\\q = It[/tex]

Since, the charge for both the currents is same:

q₁ = q₂

I₁t₁ = I₂t₂

[tex]t_2=\frac{I_1t_1}{I_2}[/tex]

where,

I₁ = current 1 = 8.4 A

I₂ = current 2 = 10.5 A

t₁ = time for current 1 = 240 s

t₂ = time for current 2 = ?

Therefore,

[tex]t_2=\frac{(8.4\ A)(240\ s)}{10.5\ A}[/tex]

t₂ = 192 s

Learn more about charges here:

https://brainly.com/question/19886264

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How do the prefixes micro,
nano and pico relate to each
other?

Answers

Answer:

because they are same and their properties

Which quantity is a vector quantity?
А.
acceleration
B.
mass
C.speed
D.
volume

Answers

Answer:

acceleration .......

A motorcyclist drives around a bend with a 20 m radius, with a constant velocity of 3 m/s. The motorcyclist and the motorcycle have a combined mass of 50 kg. What is the motorcyclist’s centripetal acceleration?

Answers

Answer:

[tex]a=0.45\ m/s^2[/tex]

Explanation:

Given that,

The radius of a bend, r = 20 m

Velocity of motorcyclist, v = 3 m/s

The combined mass of motorcyclist and the motorcycle is 50 kg

We need to find the motorcyclist’s centripetal acceleration. The formula used to find the centripetal acceleration is given by :

[tex]a=\dfrac{v^2}{r}\\\\a=\dfrac{(3)^2}{20}\\\\a=0.45\ m/s^2[/tex]

So, the acceleration of the motorcyclist is [tex]0.45\ m/s^2[/tex].

4. What is the speed of a walking person in m/s if the person travels 1000m in 20 minutes?

Answers

Answer:

0.80 m/s

Explanation:

What is the speed of a walking person in m/s if the person travels 1000 m in 20 minutes?

help me pleaseeeee ​

Answers

How often the particles of a medium vibrate

Answer:

Explanation:

Frequency, in physics, the number of waves that pass a fixed point in unit time; also, the number of cycles or vibrations undergone during one unit of time by a body in periodic motion...............

What happens along a divergent boundary?

Answers

Answer:

Two tectonic plates move away from each other

Explanation:

I just did this on AP3X. If this is not what your lookinf for then so sorry

Please simplify and write the below paragraph.
The field lines due to a current in a
circular coil become straight and
perpendicular to the plane of the coil
at the centre. This is because at every
point of circular loop the concentric
circles representing the magnetic field
become larger and larger as we move
away from the wire.

Answers

Field lines become straight and perpendicular because every point of circular loop the concentric circles become larger and larger as we move away from the wire.

An automobile travels a displacement of 75 km at 45 degrees north of East. How many kilometers north does it travel?

Answers

Answer:

the number of kilometers north it traveled is 53.03 km

Explanation:

The computation of the number of kilometers north it traveled is shown below:

Given that

The Displacement of 75 km

At east north of 45 degrees

Based on the above information, the number of kilometers is

= 75 × cos 45

= 53.03 km

Hence, the number of kilometers north it traveled is 53.03 km

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Which of the following statement(s) about electrical charges are correct?
A. Point charges of the same charge only attract.
B. Charged and neutral extended objects can attract.
C. Charged and neutral extended objects do not interact.
D. Point charges of the same charge only repel.
E. Extended objects of opposite charge can only attract.
F. Point charges of opposite charge only attract.
G. Point charges of opposite charge only repel.
H. Extended objects of the same charge can both repel and attract.
I. Extended objects of the same charge can only attract.
J. Extended objects of the same charge can only repel.
K. Extended objects of opposite charge can both repel and attract.

Answers

Answer:

The true statements are;

F, D, E, J

Explanation:

F and D are true because they agree with our knowledge of electrostatic interaction. Like charges repel while unlike charges attract. Statements B and C are not in line with the principles of electrostatics because neutral objects do not interact with charged bodies in an electric field.

E and J are true for the same reasons outlined above. Remember that like charges always repel each other and unlike charges always attract each other.

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.

Answers

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:

which term describes the image of an object that is placed in front o a convex mirror?

Answers

Answer:

The answer of this question is :- Virtual image

Explanation:

Virtual image is the correct answer

What is the density of a piece of quartz with a mass of 30g and a volume of 6cm^3

Answers

Answer:

[tex]\boxed {\boxed {\sf d= 5 \ g/cm^3}}[/tex]

Explanation:

Density can be found by dividing the mass by the volume.

[tex]d=\frac{m}{v}[/tex]

The mass of the quartz is 30 grams and the volume is 6 cubic centimeters.

[tex]m=30 \ g \\v= 6 \ cm^3[/tex]

Substitute the values into the formula.

[tex]d=\frac{30 \ g}{6 \ cm^3}[/tex]

Divide.

[tex]d= 5 \ g/cm^3[/tex]

The density of this piece of quartz is 5 grams per cubic centimeter.

observe the figure given carefully volume of water in each vessel is shown arrange them in order of decreasing pressure at the base of each vessel explain the reason​

Answers

Answer:

See the explanation below

Explanation:

The pressure is defined as the product of the density of the liquid by the gravitational acceleration by the height, and can be easily calculated by means of the following equation.

 [tex]P=Ro*g*h[/tex]

where:

Ro = density of the fluid [kg/m³]

g = gravity acceleration = 9.81 [m/s²]

h = elevation [m]

In this way we can understand that the greater pressure is achieved by means of the height of the liquid, that is, as long as the fluid has more height, greater pressure will be achieved at the bottom.

Therefore in order of decreasing will be  

The largest pressure with the largest height of the liquid, container B. The next is obtained with container D, the next with container A and the lowest pressure with container C.  

The pressure decreases as we go from the container B - D - A - C

Use the diagram to answer the questions below.

1. What is the relationship between seasons in the northern hemisphere and southern hemisphere? Explain.

2. Identify the seasons that are represented in the northern hemisphere and in the southern hemisphere. Explain.

Answers

Answer:

1. because of the tilted axis of earth the seasons in northern hemisphere are the exact opposite of the southern. because the sunrays reaches the earth an different points and when the earth moves around the sun it changes the hemisphere which is tilted to the sun.

2. the northern hemisphere is in Winter and the southern in summer. because the southern is tilted to the sun and the northern not so less sunrays reaches the northern hemisphere.

I'm sorry my explanation are bad

During combustion reactions, explain why the energy of the reactants must exceed the total energy of the products​

Answers

Answer:

In these reactions the products are higher in energy than the reactants. ... This barrier is due to the fact that to make CO2 and H2O we have to break 4 carbon-hydrogen bonds and some ...

Explanation:

We do not use water instead of mercury in a barometer.. why.​

Answers

Answer:

Required Answer:-We don't use water as Water don't expand when it came in connection of temperature.

A stone is thrown straight up. While the stone is rising:


A. its acceleration is upward and decreasing


B. its acceleration is upward and constant


C. its acceleration is upward and increasing


D. its acceleration is zero


E. None of the above.

Answers

Answer:

D. its acceleration is zero

Explanation:

Acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

In this scenario, a stone is thrown straight up. While the stone is rising its acceleration is zero because it's initial velocity is zero and it's until the stone reaches its highest point before the acceleration becomes constant and acting downward.

The lift goes up 14m the total mass of the people is 280kg

Answers

Answer:

What is your Question.

Explanation:

Ask it Clearly.

I think you are asking for potential energy....if am not wrong here’s the solution

Your car is initially at rest when you hit that gas and the car begins to accelerate. The forward force of the car is 5630 N while the resisting force total 330 N. The car has a mass of 1313 kg and the acceleration lasts for 2.6s. What is the final speed of the car and how much ground does it cover during this acceleration?

Answers

330...................

Chuck Is driving from Chicago to Miami, in one hour he drives 120 km. What is Chuck’s average velocity?

Answers

Answer:

Chuck's average speed is 60.

How are speed and velocity alike?
A.) They both require a reference point
B.) They both include total distance traveled
C.) They both describe a rate of motion
D.) They both include the direction of motion

Answers

Answer:

im pretty sure B

Explanation:

Answer:

B

Explanation:

They both describe a rate of motion

What is one of the principles of charges in a conductor?

Answers

Answer:

A conductor allows free charges to move about within it. The electrical forces around a conductor will cause free charges to move around inside the conductor until static equilibrium is reached. Any excess charge will collect along the surface of a conductor. Conductors with sharp corners or points will collect more charge at those points.

Explanation:

PLEASE HELP!!!!!!

A box is dragged across a floor. The box accelerates at 0.09 m/s² and is pulled by a 75 N force. What is the mass of the box?


833 kg


12 g


833 g


6.75 kg

Answers

Answer:833

Explanation:

A mineral:__________
a) must have an identifiable chemical composition.
b) This includes solids with a compositions that can be identified but not expressed by an exact chemical formula; an example is glass must be inorganic.
c) This excludes the vast number of organic compounds produced by living matter. must be naturally formed or formed from naturally occuring compounds.
d) This includes the vast numbers of substances that can be produced in a laboratory but are not found in nature. must be a solid or a liquid.
e) This excludes all gases.

Answers

Answer:

The correct options are A, B, C and E

Explanation:

The above speaks to the characteristics of Minerals.

Option D is excluded because minerals cannot be liquid or gaseous. Even if it is possible, those replicated in the laboratory are not considered as minerals neither are minerals liquid. They must be solid. The molecules for most minerals are very tightly or densely arranged because of the nature of their formation. Most of them are formed under consistent and intense pressure.

Cheers!

5. One of the attractions at Typhoon Lagoon, a water park in Florida, is a surf

pool. 303,200.0 liters of water are used for each wave in the surf pool and

waves are generated every 90 seconds. How many gallons of water are used

every 30 minutes in the surf pool.?

Answers

Answer:

1595790 gallons

Explanation:

Given that;

3.8 L = 1 US gallon

303,200.0 liters = 303,200.0 * 1/ 3.8 = 79789.5 gallons

If a wave is made every 90 seconds which is 1.5 mins

Then;

Number of waves made in 30 minutes = 30/1.5 = 20 waves

if each uses 79789.5 gallons, then 20 waves will use 20 * 79789.5 gallons = 1595790 gallons

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Insecticides are most likely to be damaging when used incorrectly. Regarding the controversy over Nickel and Dimed at Bedford High School, if you were a member of the school board deciding whether to keep or remove the book from the curriculum, what would you have recommended and why? The following pattern starts with 4 and uses the rule add 6 to the previous term.4,10,16,22,28Which of the following statements is true?Choose 1 answer:Every other number in the pattern is odd.BThe pattern includes only multiples of 4.Every number in the pattern is greater than the previous number. Describe in your own words how the earth's layers were formed. Which organizations stressed the virtues capitalism and the full of integration of Mexican immigrants into the U.S. culture and economy?the Benito Juarez Mutual Aid Societythe League of Latin American Citizensthe International Workers of the Worldthe Union of American Mine Workers Read this excerpt from Helen Keller's autobiography, The Story of My Life.Have you ever been at sea in a dense fog, when it seemed as if a tangible white darkness shut you in, and the greatship, tense and anxious, groped her way toward the shore with plummet and sounding-line, and you waited withbeating heart for something to happen? I was like that ship before my education began, only I was without compass orsounding-line, and had no way of knowing how near the harbour was. "Light! give me light!" was the wordless cry ofmy soul, and the light of love shone on me in that very hour. . . .The morning after my teacher came she led me into her room and gave me a doll. The little blind children at thePerkins Institution had sent it and Laura Bridgman had dressed it; but I did not know this until afterward. When I hadplayed with it a little while, Miss Sullivan slowly spelled into my hand the word "d-o-1-1." I was at once interested in thisfinger play and tried to imitate it. When I finally succeeded in making the letters correctly I was flushed with childishpleasure and pride. Running downstairs to my mother I held up my hand and made the letters for doll. I did not knowthat I was spelling a word or even that words existed; I was simply making my fingers go in monkey-like imitation. Inthe days that followed I learned to spell in this uncomprehending way a great many words, among them pin, hat, cupand a few verbs like sit, stand and walk.Based on this excerpt, which words best describe Helen Keller?O lonely and timid A powerful military lord How did the Civil War influence the beginning of American realism?A. 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