A person walks at a speed of 6 km/h from point A to point B. If he improves his pace by 1.5 km/h, he will arrive 1 hour earlier.
a) calculate the distance and time he intends to travel from a to b
b) the individual initially travels at v1=6 km/h for a distance s1, then pauses for 15 minutes to rest. So he goes at v2=7.5km/h for the rest of the route and arrives 30 minutes early than expected.

Answers

Answer 1

Answer:

a) The distance is 30 km

The time duration is 5 hours

b) s₁ is approximately 28.142 km or s₁ is approximately 1.505 km

Explanation:

The initial speed with of the person, v₁ = 6 km/h

The distance the walked by the person, d = From point A to point B

The rate at which the person increases the speed, Δv = 1.5 km/h

The time it takes for the person to arrive at point B from point A at the new speed, t₂ = 1 hour earlier than when walking at 6 km/h

a) Let t₁ represent the time it takes the person walking from point A to point B at 6 km/h, we have;

t₂ = t₁ - 1...(1)

d/t₁ = 6...(2)

d/t₂ = 6 + 1.5 = 7.5

∴ d/t₂ = 7.5...(3)

From equation (2), we have;

d = 6 × t₁ = 6·t₁

Plugging in d = 6·t₁, and t₂ = t₁ - 1 in equation (3) gives;

d/t₂ = 7.5

∴ 6·t₁/t₁ - 1 = 7.5

6·t₁ = 7.5 × (t₁ - 1) = 7.5·t₁ - 7.5

7.5·t₁ - 6·t₁ = 7.5

1.5·t₁ = 7.5

t₁ = 7.5/1.5 = 5

t₁  = 5

The time it takes the person walking from point A to point B at 6 km/h, t₁  = 5 hours

The distance from point A to point B, d = 6 km/h × 5 hours = 30 km

b) The distance the person travels at the initial speed, v₁ (6 km/h) = s₁

The duration the person pauses for a rest = 15 minutes = 1/4 hours

The speed with which he walks the rest of the journey, v₂ = 7.5 km/h

The time earlier than expected that he arrives, Δt = 30 minutes = 0.5 hours

We note that the total distance, d = 30 km

The expected time, t₁ = 5 hours

Therefore, we have;

s₁ + s₂ = 30 km

s₂ = 30 - s₁

v₁/s₁ + 1/4 + v₂/s₂ = t₁ - 0.5

Therefore;

6/s₁ + 1/4 + 7.5/(30 - s₁) = 5 - 0.5 = 4.5

6/28.142+ 1/4 + 7.5/(30 - 28.142) = 5 - 0.5 = 4.5

6/s₁ + 7.5/(30 - s₁) = 4.5 - 1/4 = 4.25

-(3·s₁ + 360)/(2·s₁²- 60·s₁) = 4.25

2·s₁²- 60·s₁) × 4.25 + 3·s₁ + 360 = 0

17·s₁²- 504·s₁ + 720 = 0

s₁ = (504 ± √((-504)² - 4 × 17 × 720))/(2 × 17)

s₁ ≈ 28.142 or s₁ = 1.505

The distance the individual travels at v₁ = 6 km/h, s₁ ≈ 28.142 km or 1.505 km


Related Questions

For a specific volume of 0.2 m3/kg, find the quality of steam if the absolute pressure is (a) 40 kPa and (b) 630 kPa. What is the temperature of each case?

Answers

Answer:

[tex]x=0.0498[/tex]

[tex]x'=0.659[/tex]

Explanation:

Specific Volume [tex]V=0.2m_3/kg[/tex]

Absolute Pressure (a) [tex]P_a= 40kpa[/tex]

Giving

[tex]T_a=75.87[/tex]

[tex]v_f=1.265*10^{-3}m^3/kg[/tex]

[tex]v_g=3.993m^3/kg[/tex]

                               (b) [tex]P_a= 630kpa[/tex]

Giving

[tex]T_b=160.13C[/tex]

[tex]v_f'=1.10282*10^{-3} m^3/kg[/tex]

[tex]v_g'=0.30286 m^3/kg[/tex]

(a)

Generally the equation for quality of Steam X  is mathematically given by

[tex]x=\frac{v-v_f}{v_g-v_f}[/tex]

[tex]x=\frac{0.2-1.0265*10^{-3}}{3.993-1.0265*10^{-3}}[/tex]

[tex]x=0.0498[/tex]

(b)

Generally the equation for quality of Steam X  is mathematically given by

[tex]x'=\frac{v-v_f'}{v_g'-v_f'}[/tex]

[tex]x'=\frac{0.2-1.10*10^{-3}}{3.30-1.1*10^{-3}}[/tex]

[tex]x'=0.659[/tex]

A body at rest or moving with uniform velocity will have acceleration equals
to:
A.
1
B.
0
C.
Negligible
D.
Infinity

Answers

Answer:

B:O

Explanation:

As acceleration is the rate of change of velocity with time, if velocity is uniform, there will be no change in it and acceleration will be zero.

Which of the motion variables is the same in both thex and y axis?
A) velocity
B) acceleration
C) time
D) displacement

Answers

Answer:

Acceleration (b) not sure tho

Explanation:

Calculate the momentum of a 4,800 kg car with a velocity of 25 m/s.

Answers

Answer:

p = 120000 kg · m/s

Explanation:

p = mv

p=momentum

m=mass

v=velocity

p = (4800)(25)

p= 120000 kg · m/s

Answer:

[tex]momentum = mass \times velocity \\ = 4800 \times 25 \\ = 120000 \: kgm {s}^{ - 1} [/tex]

someone pls help fast

Answers

You forgot to add question...Add questions before asking so we can help
I think u forgot to add the question please add the question

A capacitor with a capacitance of 50µf when connected to a battery of 400 V. The charge and energy stored on it is? a. 0.05 C and 5 J b. 0.05 C and 10 J c. 0.02 C and 4 J d. 0.08 C and 12 J

Answers

Answer:

c. 0.02 C and 4 J

Explanation:

Applying,

Q = CV................ Equation 1

Where Q = Charge, C = Capacitance of the capacitor, V = Voltage.

From the question,

Given: C = 50 μF = 50×10⁻⁶ F, V = 400 V

Substitute these values into equation 1

Q = (50×10⁻⁶)(400)

Q = 0.02 C.

Also Applying

E = CV²/2............. Equation 2

Where E = Energy stored.

Therefore,

E = (50×10⁻⁶ )(400²)/2

E = 4 J

Hence the right option is c. 0.02 C and 4 J

A sound wave has a frequency of 192 Hz and travels the length of a football field at a speed of 338.5 m/s. what is the wavelength of the wave?

Answers

Explanation:

everything can be found in the picture

Which is not true of friction? A. Causes wear and tear of the surfaces B. Helps us to fall easily on roads C. Produces heat D. Produces light E. Stops bodies when they move over each other.

Answers

Answer:

B.

Hope this helps

The answer is B

i need 20 works

calcula el peso de un perro cuya masa es de 25 kg en la tierra

Answers

Answer:

El peso = 245 Newton

Explanation:

Dados los siguientes datos;

Masa = 25 kg

Para encontrar el peso del perro en la tierra;

El peso se puede definir como la fuerza que actúa sobre un cuerpo o un objeto como resultado de la gravedad.

Matemáticamente, el peso de un objeto viene dado por la fórmula;

[tex] El \; peso = mg [/tex]

Dónde;

m es la masa del objeto.

g es la aceleración debida a la gravedad.

Sabemos que la aceleración debida a la gravedad es igual a 9,8 m / s² en el planeta Tierra.

Sustituyendo en la ecuación, tenemos;

[tex] W = 25 * 9.8[/tex]

El peso = 245 Newton

A resistor of 500Ω and one of 2000Ω are placed in series with a 60V supply. What will be the reading on a voltmeter of internal resistance 2000Ω when placed across (i) 500Ω resistor and (ii) 2000Ω resistor?

Answers

Answer: 10 V, 40 V

Explanation:

Given

Resistors are [tex]500\Omega[/tex] and [tex]2000\Omega[/tex]

Power supply [tex]V=60\ V[/tex]

Voltmeter internal resistance [tex]r=2000\ \Omega[/tex]

When it connected around [tex]500\Omega[/tex] resistance, effective resistance becomes

[tex]\Rightarrow \dfrac{1}{R}=\dfrac{1}{500}+\dfrac{1}{2000}\\\\\Rightarrow R=\dfrac{2000}{5}\\\\\Rightarrow R=400\ \Omega[/tex]

Total resistance in series [tex]R_{net}=2400\ \Omega[/tex]

Current in circuit

[tex]I=\dfrac{60}{2400}=\dfrac{1}{40}\ A[/tex]

Voltage around [tex]500\Omega[/tex] resistance is

[tex]V=\dfrac{1}{40}\times 400\\\\V=10\ V[/tex]

(B) when voltmeter is connected around [tex]2000\Omega[/tex]  resistor

Net resistance around it

[tex]\Rightarrow \dfrac{1}{R}=\dfrac{1}{2000}+\dfrac{1}{2000}\\\\\Rightarrow R=1000\ \Omega[/tex]

Total resistance [tex]R_{net}=1500\ \Omega[/tex]

Current in circuit

[tex]I=\dfrac{60}{1500}=\dfrac{1}{25}\ A[/tex]

Voltage around [tex]2000\Omega[/tex] resistor

[tex]V=\dfrac{1}{25}\times 1000\\\\V=40\ V[/tex]

Which of the following nuclear configurations is most stable?​

Answers

Answer:

D. A nucleus of 2 protons and 2 neutrons.

Explanation:

A stable nucleus is one that do not disintegrate naturally, majorly due to the even number of its protons and neutrons. Thus they are not radioactive in nature.

From the given question, it would be observed that a nucleus of 2 protons and 2 neutrons would give a helium atom. And this is a stable atoms due to the magnetic number of the components of its nucleus.

Thus, the nuclear configuration that is most stable out of the given options is a nucleus of 2 protons and 2 neutrons. Option D.

When a shopping cart rolls into a parked car on the street, It hits the car with a force of 220 newtons. The shopping cart experiences a force from the car that is how many newtons?

Answers

Answer:

220 N

Explanation:

When a shopping cart rolls into a parked car on the street, it hits the car with a force of 220 newtons.

We need to find the force the shopping cart experiences from the car.

We know that, Newton's third law of motion states that for every action there is an equal and opposite reaction.

Hence, the shopping cart experiences a force of 220 N from the car.

Air pollution is an example of a. The underground economy. B. An external shock. C. A nonmarket activity. D. A negative externality.

Answers

Answer:

D. A negative externality.

Explanation:

Particulate pollution is a form of pollution that is responsible for the degradation of the environment.

Particulate matter is also referred to as particle pollution or atmospheric aerosol particles and it can be defined as a complex microscopic mixture of liquid droplets and solid particles that are suspended in air.

An externality is typically an unwarranted cost or benefit by a manufacturer or producer of goods and services that affects a third party.

In Economics, an externality could either be positive or negative depending on its effect on a third party.

A negative externality arises when the production or consumption of a finished product or service has negative impact (cost) on a third party.

In conclusion, air pollution is an example of a negative externality because it causes harm to a third party.

When a car velocity is negative and its acceleration is negative, what is happening to the cars motion?

Answers

Answer:

The car is speeding up in a negative direction.

Explanation:

Henry mixed salt and water together in a cup until he observed a clear solution. He measured the mass of the solution. Then he placed the cup outside for several sunny days during the summer. After a week, he observed that only solid salt remained in the cup and the mass had decreased. Henry concluded that a physical and chemical change occurred in this investigation.

Which statements correctly defend or dispute his conclusion?

He is correct. Dissolving salt in water is a physical change, but evaporating the water is a chemical change. Formation of a solid is evidence that a chemical change occurred.
He is correct. Evaporation is a physical change, but dissolving salt in water is a chemical change. The change in mass is evidence that a chemical change occurred.
He is incorrect. Dissolving salt in water and evaporation of the water are both physical changes. The reappearance of salt is evidence that the change was reversible by a physical change, so it could not be a chemical change.
He is incorrect. Dissolving salt in water and evaporation of the water are both chemical

Answers

Answer:

He is incorrect. Dissolving salt in water and evaporation of the water are both physical changes. The reappearance of salt is evidence that the change was reversible by a physical change, so it could not be a chemical change.

Answer:c

Explanation:

PLS HELPP HURRYYY

The trapdoor swings open and the ball falls to the ground. The ball does not bounce when it hits the ground. Show that the final speed of the ball at the instant before it hits the ground is about 5 m/s.

Answers

Answer:

5 m/s

Explanation:

As the ball falls to the ground, it is acted upon by a force which is due to the gravitational force. Hence, the ball falls with an acceleration called the acceleration due to gravity.

Let us assume that the acceleration due to gravity (g) = 10 m/s², Since initially, the body was at rest, hence the initial velocity (u) = 0 m/s. The height to the ground (h) = 1.3 m. Hence using the equation of motion, the final velocity (v) is:

v² = u² + 2gh

Substituting:

v² = 0² + 2(10)(1.3)

v² = 26

v = √26 = 5

v = 5 m/s

¡¡¡AYUDA CON ESTOS EJERCICIOS DE FÍSICA!!!

1. ¿Cuál es el valor del potencial eléctrico en un punto si para trasladar una carga de 5 μC desde el suelo hasta el, se realizó un trabajo de 40 X 10^(-6) J?
2. ¿Calcular el potencial eléctrico en un punto B que se encuentra a 50 cm de una carga positiva q = 8 X 10^(-6) C
3. Determina el valor de una carga transportada desde un punto a otro, al realizarse un trabajo de 8 x 10^(-5) J, si la diferencia de potencial es de 4 x 10^3 V.

Answers

Answer:

(a) 8 V, (b) 144000 V, (c) 2 x 10^(-8) C

Explanation:

(a) charge, q = 5 μC , Work, W = 40 x 10-^(-6) J

The electric potential is given by

W = q V

[tex]40\times10^{-6}=5 \times10^{-6}\times V\\\\V = 8 V[/tex]

(b)

charge, q = 8 x 10^(-6) C, distance, r = 50 cm = 0.5 m

Let the potential is V.

[tex]V =\frac{k q}{r}\\\\V =\frac{9\times 10^{9}\times 8\times 10^{-6}}{0.5}\\\\V =144000 V[/tex]

(c)

Work, W = 8 x 10^(-5) J, Potential difference, V = 4000 V

Let the charge is q.

W= q V

[tex]8\times10^{-5}= q\times 4000\\\\q =2\times 10^{-8} C[/tex]

The atomic mass of calcium is 40.08. What is the mass of 6.02 × 1023 atoms of calcium?

Answers

Answer:

It is 40.08 g

Explanation:

[tex]6.02 \times 10 {}^{23} \: atoms = 1 \: mole = 40.08 \: g[/tex]

100 point!! Question song!
You gotta keep 'em separated
Like the latest fashion
Like a spreading disease
The kids are strappin' on their way to the classroom
Getting weapons with the greatest of ease
The gangs stake their own campus locale
And if they catch you slippin' then it's all over pal
If one guys colors and the others don't mix
They're gonna bash it up
Hey - man you talkin' back to me?
Take him out
You gotta keep 'em separated
Hey - man you disrespecting me?
Take him out
You gotta keep 'em separated
Hey they don't pay no mind
If you're under 18 you won't be doing any time
Hey, come out and play
By the time you hear the siren
It's already too late
One goes to the morgue and the other to jail
One guy's wasted and the other's a waste
It goes down the same as the thousand before
No one's getting smarter
No one's learning the score
Your never ending spree of death and violence and hate
Is gonna tie your own rope
Hey - man you disrespecting to me?
Take him out
You gotta keep 'em separated
Hey - man you talking back to me?
Take him out
You gotta keep 'em separated
Hey they don't pay no mind
If you're under 18 you won't be doing any time
Hey, come out and play
It goes down the same as the thousand before
No one's getting smarter
No one's learning the score
Your never ending spree of death and violence and hate
Is gonna tie your own rope
Hey - man you talkin' back to me?
Take him out
You gotta keep 'em separated
Hey - man you disrespecting me?
Take him out
You gotta keep 'em separated
Hey they don't pay no mind
If you're under 18 you won't be doing any time
Hey, come out and play

Answers

Answer:

It is a song called Come out and Play. It is released on 1994 in a Album called Smash. It comes under Punk-Rock.

I hope i answered your Question.

Answer:

Explanation:

Adding to the other answer, this song is about violence in streets and schools among young people involved in gangs; how they have little hope for their future. Band member Dexter got idea to make the song while he was in college.

E
Question 14/36
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XE
14
A wave has a frequency of 30 Hz and a wavelength of 10 m. What's its speed?

Answers

Answer:

Speed = 300 m/s

Explanation:

Given the following data;

Frequency = 30 Hz

Wavelength = 10 m

To find the speed of the wave;

Mathematically, the speed of a wave is given by the formula:

[tex] Speed = wavelength * frequency [/tex]

Substituting into the formula, we have;

[tex] Speed = 10 * 30 [/tex]

Speed = 300 m/s

find out the speed of the car from home to school in meters per second.
Time - 15 mins
Distance - 8 km​

Answers

1.875

Explanation:

speed = distance moved ÷ time taken

6. Which of the following graphs correctly demonstrates the relationship between the
electromagnetic force and distance between charges?

Answers

Answer:

But where are the graphs

Coulomb's Law describes the relationship between electromagnetic force and the distance between charges.

What is the relationship between electromagnetic force and the distance between charges?

The relationship between electromagnetic force and the distance between charges is described by Coulomb's Law, which states that the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. Mathematically, Coulomb's Law is expressed as:

F = k  (q₁x q₂) / r²

where F is the electromagnetic force, q1 and q2 are the charges, r is the distance between the charges, and k is the Coulomb constant.

This means that as the distance between two charges increases, the force between them decreases, and as the distance decreases, the force increases. The relationship between force and distance is inverse square, which means that the force decreases rapidly as the distance increases.

To know more about electric charges follow

https://brainly.com/question/874116

#SPJ6

The total momentum before a collision is___to the total momentum after a collision

Answers

Answer:

Equal

Explanation:

The law of conservation of energy states that the total momentum before and after a collision are equal

Answer:

Equal to the total momentum of the two objects after the collision.

Which property of the coating on fiber-optic strands makes light visible only at the ends of the strands?

reflectivity
absorbency
transparency
translucency

Answers

The answer I got was reflectivity

The answer is A, Hope this helps and sorry for being late :)

what is the frequency range of Audible sound​

Answers

Answer:20Hz to 20000Hz

Explanation:

Humans can detect sounds in a frequency range from about 20 Hz to 20 kHz.

"" describe about black hole ""​

Answers

A black hole is a region of space in which gravity is so strong that even light cannot escape.

☆彡Hanna

#CarryOnLearning

what is matter explain verifly​

Answers

Answer:

Matter is a substance that has inertia and occupies physical space. According to modern physics, matter consists of various types of particles, each with mass and size.Matter can exist in several states, also called phases. The three most common states are known as solid, liquid and gas.Matter is the Stuff Around You or Atoms and compounds are all made of very small parts of matter. Those atoms go on to build the things you see and touch every day. Matter is defined as anything that has mass and takes up space (it has volume).Solid ice, water and steam are few examples of matter touched in everyday life. Subatomic particles are also considered as matter.

Answer:

Matter is everything around you. Atoms and compounds are all made of very small parts of matter. Those atoms go on to build the things you see and touch every day. Matter is defined as anything that has mass and takes up space (it has volume).

hope it helps...

what is unit of pressure?why is it called a derived unit ? give reasons​

Answers

Answer:

Unit of pressure is pascal (Pa)

The SI-derived unit of measurement for pressure. The pascal is one newton (an SI-derived unit itself) per square meter.

What the answer to the three of them ill mark brainlest

Answers

lhormmia  masng ies igentetel

Explanation:

Find new resistance of wire if it is stretched to twice its
original length. Original resistance was 20 ohm. Also how its
resistivity will change

Answers

Answer:

Original Length = L1

Stretched length =L2

From

R = pl/A

R=Resistance

p=Resistivity

A=Cross-sectional Area

l= length of wire

We can see that Resistance is directly Proportional to Length... Meaning that Resistance Increases also as Length increases.

R1/L1 = R2/L2

From the question... The key to note is this sentence

"The Stretched length is TWICE the Original Length"

Meaning

L2 = 2L1 (So replace L2 as 2L1 when solving)

R1=20ohms

Let R2 = k

Applying the formula

20/L1 = k/2L1

kL1 = 20x 2 L1

KL1 = 40L1

L1 cancels on both sides

k=40ohms.

So As the length doubled... The Resistance did too

from 20ohms to 40ohms

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