A 10 kg cart with a momentum of 10 kg• m/s hits a 20 kg cart at rest. Momentum is calculated by using
the formula p = mv, where m is the mass of an object and vis the velocity of an object.​

Answers

Answer 1

Change in momentum formula

The change in momentum resulting from an external force is called the impulse (I=mv-mvo) and is related to the force applied through the Impulse-Momentum Theorem: I = F tc = mv - mvo . Here F is the external force applied and tc is the amount of time the force is in contact with the object.

Answer 2

The final velocity ( Vf ) of the cart at rest is : 0.5 m/s

Determine the final velocity of cart at rest

Change in momentum of the objects  = m₁ * ΔV = m₂ * ΔV --- ( 1 )

Given that momentum ( p ) = m * v

where ; m₁ = 10 kg , p = 10 kg.m/s , v = ?

calculate for v

v = p/m = 10 kg.m/s / 10 kg

            = 1 m/s

Back to equation ( 1 )

= 10 * ( 1 m/s ) =  20 * ( Vf - )

= 10 = -20 Vf  

therefore Vf ( final velocity of cart at rest ) = 10 / 20

                                                                      = 0.5 m/s

Hence we can conclude that The final velocity ( Vf ) of the cart at rest is : 0.5 m/s

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Related Questions

An object accelerated at a rate of 50 m/s/s. A force of
100 N was used to make this happen. What is the mass
of the object?

Answers

Answer:

2kg

Explanation:

100N= force 50m/s²=acceleration

mass=?

the equation is;

Mass(kg)= Force(N) ÷ Acelleration(m/s²)

100÷50=2

Write down the role played by four digestive juices in digestion and the
organs which secrete them.

Answers

Answer:

Explanation:Digestive juices secreted by various organs such as salivary glands in the mouth, stomach, liver and pancreas help in the process of digestion of food. Saliva secreted by the salivary glands in the mouth aids in the breakdown of starch present in the food to simple sugar

In young's double silt experiment if the distance between the silts is 0.5 and the distance between the silts and screen is 2 times.Then what will be the width of bands

Answers

Answer: The width of bands will be 2λ

Explanation: Please see the attachments below

In young's double silt experiment if the distance between the silts is 0.5 and the distance between the

Which of these is most likely to be a centrifugal force within the EU in the future?

Answers

Among the given options, cultural differences are most likely to be the centrifugal force within the EU in the future. The EU is a political and economic union of 27 member states, and cultural differences among its member states have always been present.

With the increasing number of immigrants from different parts of the world, the cultural differences among EU member states are becoming more prominent. Each member state has its unique language, history, customs, and traditions, which can create misunderstandings and conflicts among the member states.
The EU aims to promote unity and solidarity among its member states, but cultural differences can lead to a lack of understanding and trust between them. The EU's diverse cultural heritage is both a strength and a challenge for the union. The EU needs to find a way to respect the cultural diversity of its member states while maintaining its unity.
However, the cultural differences among the member states can still cause tensions and conflicts in the future. Therefore, it is crucial for the EU to continue to foster cultural awareness and understanding among its member states to maintain the union's cohesion and stability.

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complete question:

Which of these is most likely to be a centrifugal force within the EU in the future?

a. trade barriers

b. closed borders

c. pollution problems

d. cultural differences

Choose the pair of elements that will most likely have the greatest ionic character.

a. K and N
b. K and S
c. N and Br
d. S and Br

Answers

Answer:

K and N

Explanation:

Ionic character depends on the electronegativity difference between the bonding elements. The greatest the elctronegativity diffference the greatest the ionic character. The electronegativity difference between K and N is the greatest among the four options as N is one of the most electronegative elements.

The small spheres A and B are placed on the x axis as shown in Figure 32. If sphere A has a charge of 3.00 x 10^-6 C and sphere B is 0.800 m to the right of sphere A and has a charge of 5.00 x 10^-6 C, find the magnitude and direction of the electric field at a point above The x axis and forms an equilateral triangle with spheres A and B

Answers

Answer:

the magnitude of the electric field at the equilateral triangle is 3.63 x 10^4 N/C, and its direction makes an angle of 55.7 degrees with the positive x-axis.

Explanation:

To find the electric field at the point P above the x-axis, we can use the formula for the electric field due to a point charge:

E = k * Q / r^2

where k is Coulomb's constant (k = 9.0 x 10^9 Nm^2/C^2), Q is the charge of the point charge, and r is the distance between the point charge and the point P.

First, let's find the distance between point A and point P. Since point P forms an equilateral triangle with points A and B, we know that the distance between points A and P is equal to the distance between points B and P. We can use the Pythagorean theorem to find the distance between point B and point P:

BP = sqrt[(0.800 m)^2 + (0.866 m)^2] = 1.32 m

Therefore, the distance between point A and point P is also 1.32 m.

Next, we can use the formula for the electric field to find the electric field at point P due to point A:

EA = k * QA / r^2

where QA is the charge of point A (QA = 3.00 x 10^-6 C). Plugging in the values, we get:

EA = (9.0 x 10^9 Nm^2/C^2) * (3.00 x 10^-6 C) / (1.32 m)^2 = 1.70 x 10^4 N/C

The electric field due to point B at point P has a magnitude and direction that are the same as the electric field due to point A, since the charges are the same and the distances are the same.

Therefore, the total electric field at point P due to points A and B is:

E = 2 * EA = 2 * 1.70 x 10^4 N/C = 3.40 x 10^4 N/C

To find the direction of the electric field, we can use trigonometry. Let θ be the angle between the x-axis and the line connecting point A to point P. Since point P forms an equilateral triangle with points A and B, we know that θ = 60°.

The x-component of the electric field is Ecosθ, and the y-component of the electric field is Esinθ. Plugging in the values, we get:

Ex = E * cos(60°) = (3.40 x 10^4 N/C) * (1/2) = 1.70 x 10^4 N/C

Ey = E * sin(60°) = (3.40 x 10^4 N/C) * (sqrt(3)/2) = 2.95 x 10^4 N/C

Since the point P is above the x-axis, the direction of the electric field is in the second quadrant (i.e., the angle is negative). Therefore, the angle between the electric field and the negative x-axis is:

θ = tan^-1(Ey/Ex) = tan^-1[(2.95 x 10^4 N/C) / (1.70 x 10^4 N/C)] = 59.2°

The negative sign indicates that the electric field makes an angle of -59.2° with the positive x-axis. To convert this to an angle with the negative x-axis, we can subtract 180°:

θ = -180° + 59.2° = -120.8°

Rounding to the nearest degree, we get:

θ ≈ -121°

Therefore, the magnitude of the electric field is 3

The drop time can be calculated as follows: where y is the vertical height of the table and g is the
acceleration due to gravity. How did the calculated drop time compare to the average of your measured drop
times? Find the percent error using the following equation:
What factors might cause the differences?

Answers

Answer:

Tt can be calculated by copy

For a stirred tank that is cooled by a water coil, what is the consequences of neglecting coll dynamics? a • Thermal capacitance of the collis neglected with respect to the tank wall and the tank liquid • Energy balance is done only on the tank wall Ob • Thermal capacitance of the collis neglected with respect to the tank wall and the tank liquid • Energy balance is done only on the tank liquid oc • Thermal capacitance of the collis neglected with respect to the tank wall and the tank liquid

Answers

The thermal capacitance of the coil is neglected with respect to the tank wall and the tank liquid. Energy balance is done only on the tank liquid. Option C is the correct answer.

The consequence of neglecting the thermal dynamics of the cooling coil in a stirred tank can vary depending on the specific situation and the magnitude of the neglected effects. However, in general, neglecting the thermal capacitance of the cooling coil in relation to the tank wall and the tank liquid can have the following consequences:

Inaccurate temperature predictions: Neglecting the thermal capacitance of the cooling coil means that the cooling effect provided by the coil will not be properly accounted for in the energy balance of the system. This can lead to inaccurate temperature predictions within the tank. The coil may cool the tank contents faster or slower than anticipated, leading to deviations from the desired temperature profile.Inefficient cooling: Neglecting the thermal capacitance of the coil implies that the cooling coil is assumed to have an instantaneous cooling effect, without considering its own thermal inertia. This can result in inefficient cooling as the coil may not be able to transfer heat effectively to the cooling water due to the lack of thermal capacitance consideration. Consequently, the cooling process may be slower or less efficient than expected.Risk of equipment failure: If the cooling coil is subjected to rapid temperature changes due to neglecting its thermal capacitance, it can potentially lead to thermal stress and mechanical failure of the coil. The coil may not be designed to handle abrupt temperature variations, which can result in damage or reduced lifespan of the equipment.Energy consumption discrepancies: Neglecting the thermal capacitance of the coil can affect the overall energy balance calculations for the system. The energy required to operate the cooling coil may be underestimated, leading to discrepancies in energy consumption estimations. This can have implications for energy management and cost considerations.

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Thermal energy can not be transferred or transformed into other forms of energy.
O True
False

Answers

Answer:

I believe it is false I took the test

Answer:

false

Explanation:

Compare How is a chemical change
different from a physical change?

Answers

Answer:

In a physical change the appearance or form of the matter changes but the kind of matter in the substance does not. However in a chemical change, the kind of matter changes and at least one new substance with new properties is formed. ... All chemical reactions are reversible although this can be difficult in practice.

Explanation:

Answer:In a physical change the appearance or form of the matter changes but the kind of matter in the substance does not. However in a chemical change, the kind of matter changes and at least one new substance with new properties is formed. ... All chemical reactions are reversible although this can be difficult in practice.

Explanation:

write a differential equation that is a mathematical model of the situation described. the time rate of change of the velocity v of a coasting motorboat is proportional to the square of v.

Answers

The time rate of change of the velocity v of a coasting motorboat is proportional to the square of v.

write a differential equation that is a mathematical model of the situation described?

 A differential equation is an equation involving an unknown function y=f(x) and one or more of its derivatives. A solution to a differential equation is a function y=f(x) that satisfies the differential equation when f and its derivatives are substituted into the equation.A differential equation is an equation which contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable) dy/dx = f(x) Here “x” is an independent variable and “y” is a dependent variable. For example, dy/dx = 5x.

Ordinary Differential Equation. Partial Differential Equation. Linear Differential Equation.

Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their use is also known as "numerical integration", although this term can also refer to the computation of integrals.

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If the velocity of an airplane is doubled, then its kinetic energy
will increase by a factor of

Answers

Answer:4

Explanation:

If the velocity of an airplane is doubled, then its kinetic energy will increase by a factor of four.

What is kinetic energy?

The ability of an object to do work by virtue of its motion.

The kinetic energy is represented mathematically as

K.E = 1/2 mv²

where v is the velocity with which the object is moving and m is its mass.

When the velocity is doubled, kinetic energy is

K.E' = 1/2 m(2v)²

K.E' =4 x ( 1/2 mv²)

Thus,  airplane's kinetic energy will increase by a factor of four.

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How does convection cause tectonic plates to move?

A
Convection keeps the plates thin enough to move.

B
Convection makes the plates solid enough to move.

C
The rising heat of convection currents moves the almost-liquid rocks.

D
The pressure of convection bends rocks until they break completely.

Answers

The plates become sufficiently stable by convection. The almost liquid rocks are moved by the convection currents' growing heat, hence option C is correct.

What are tectonic plates?

Rocks flex under the pressure of convection until they entirely fracture. Radiation decay in the core causes convection currents, which are produced by heat rising and sinking inside the mantle.

In convection currents, the plates are moved. The separation of plates occurs when convection currents split close to the Earth's crust.

Therefore, the convergence of convection currents causes plates to move in the same direction.

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A total of ___ j of work is done when a 35-newton force lifts a create to a loading doc 2m high

Answers

A total of 70 joules of work is done when a 35-newton force lifts a crate to a loading dock 2 meters high.

How do we calculate?

The amount of work done can be calculated using the formula:

work = force x distance x cos(theta)

where force is the applied force, distance is the distance moved in the direction of the force, and theta is the angle between the force vector and the displacement vector.

In this scenario, the force is 35 newtons, the distance is 2 meters (the height the crate is lifted), and the angle between the force vector and the displacement vector is 0 degrees (because  the force is directly upwards and the displacement is also upwards).

Therefore, cos(Ф) = 1.

Substituting  in these values, we get:

work = 35 newtons x 2 meters x 1

work = 70 joules

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Which of the following is the volume of the shaded in Of the sphere?

Which of the following is the volume of the shaded in Of the sphere?

Answers

Answer:

The correct option is;

πR³(2/3 + (1/3)cos³θ - cosθ)

Explanation:

The volume of a segment of a sphere is given by the relation;

\(V = \pi \cdot h^2 \cdot \left (R - \dfrac{h}{3} \right)\)

We note that h = R - R·cos(θ)

Therefore by substituting the value of h in the equation of a segment of a sphere, we have;

\(V = \pi \cdot \left (R - R\cdot cos(\theta) \right ) ^2 \cdot \left (R - \dfrac{\left (R - R\cdot cos(\theta) \right )}{3} \right)\)

Which gives;

\(\dfrac{R^3\cdot \pi \cdot cos^3 (\theta) -3 \cdot R^3 \cdot\pi \cdot cos (\theta) + 2 \cdot R^3 \cdot \pi}{3}\)

\(R^3\cdot \pi \cdot \left (\dfrac{cos^3 (\theta) -3 \cdot cos (\theta) + 2 }{3} \right )\)

\(R^3\cdot \pi \cdot \left (\dfrac{cos^3 (\theta) + 2 }{3} - cos (\theta) \right )\)

\(R^3\cdot \pi \cdot \left (\dfrac{cos^3 (\theta) }{3} + \dfrac{2}{3} - cos (\theta) \right )\)

Therefore, the correct option is πR³(2/3 + (1/3)cos³θ - cosθ).

34. What temperature in the graph below indicates that heat is being used to "break links" binding liquid molecules--that is, the region where the substance is vaporizing?Select one:a. 120°b. 80°c. 60°d. 20°

34. What temperature in the graph below indicates that heat is being used to "break links" binding liquid

Answers

We know that in a change of state heat is used to break the links between the molecules or atoms of the substance but the temperature remains the same; in the graph shown we notice that we have two portions where the temperature remains constant 20° and 120°. Since vaporizing happens at greater temperature that solid to liquid change of state we conclude that the region where this happens is 120°; therefore, the answer is A.

This is a map showing the approximate positions of the continents millions of years ago, after the breakup of the last supercontinent. Assume that South America and Africa diverged (separated) at an average rate of 3.5 cm/year (centimeters per year). If the two land masses are now 2850 km (kilometers) apart, how many years ago did they separate?

A. 1.2 • 10^8 years

B. 1.0 • 10^5 years

C. 1.2 • 10^7 years

D. 8.1 • 10^7 years

E. 8.14 • 10^5 years

F. 1.05 • 10^4 years

This is a map showing the approximate positions of the continents millions of years ago, after the breakup

Answers

the answer is C. 1.2•10^7 years

A race car is one lap behind the lead race car when the lead car has 52 laps to go in a race. If the speed of the lead car is 56.3 m/s, what must be the average speed of the second car to catch the lead car just before the end of the race, assume 1 lap is 1.34km

Answers

The speed of the car is 55.2 m/s.

What is the average speed?

We can define speed as the ratio of distance to time. We know that the question states the car is one lap behind the lead race car when the lead car has 52 laps to go in a race.

If 1 lap =  1.34km or 1340 m

Distance covered =   1340 m * 52 = 69680 m

Time = 69680 m/ 56.3 m/s

= 1237.7 s

Given that the second car is one lap behind;

51 *  1340 m = 68340 m

Speed =  68340 m/1237.7 s

= 55.2 m/s

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As an object fall in a gravitational field, its speed increases. This is an example of potential energy transforming into what?

Answers

Answer:

potential energy is transformed into kinetic energy

A ball travels along a straight path, perpendicular to a wall. The ball bounces off the wall and returns with the same magnitude of momentum, p, with respect to a ground observer at rest. What expression shows the change in momentum as observed by the ground observer?.

Answers

The change in momentum of the ball travelling along a straight path, perpendicular to a wall, after bouncing off the wall as observed by the ground observer is 0

Δp = \(p_{f}\) - \(p_{i}\)

Δp = Change in momentum

\(p_{f}\) = Final momentum

\(p_{i}\) = Initial momentum

p = m v

m = Mass

v = Velocity

Since, \(p_{f}\) = \(p_{i}\)

Δp = 0

Momentum can be simply defined as a mass in motion. So if an object with mass moves, it will have momentum. It is a vector quantity.

Therefore, the change in momentum as observed by the ground observer is 0

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what is the frequency of an ocean wave that is traveling at a speed of 45 m/s if it has a wavelength of 3 meters.
please show work

Answers

Answer:

Frequency, f = 15 Hz      

Explanation:

We have,

Speed of an ocean wave is 45 m/s

Wavelength of a wave is 3 m

It is required to find the frequency of an ocean wave.

Speed of a wave, \(v=f\lambda\), f = frequency of ocean wave

\(f=\dfrac{v}{\lambda}\\\\f=\dfrac{45}{3}\\\\f=15\ Hz\)

So, the frequency of an ocean wave is 15 Hz.

what should the magnitude of the force f be if the mass m is to have an upward acceleration of magnitude a?

Answers

Product of mass and acceleration is the magnitude of force.

A push or pull of an object is called force. Product of mass and acceleration is the magnitude of force. The S.I. unit of force is m/s². Unit can be represented by newton symbol is N.

F = m × a

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2.

A loaded Boeing 747 jumbo jet has a mass of 200,000 kg. What net force is required to give the plane an

acceleration of 3. 5 m/s down the runway for takeoffs?

Answers

Answer:

We can use Newton's second law of motion to calculate the net force required to accelerate an object. The equation is:

F = ma

Where:

F = net force (N)

m = mass of the object (kg)

a = acceleration (m/s^2)

Given that the mass of the loaded Boeing 747 is 200,000 kg and the desired acceleration is 3.5 m/s^2. We can substitute these values into the equation:

F = 200,000 kg * 3.5 m/s^2 = 700,000 N

Therefore, the net force required to give the plane an acceleration of 3.5 m/s^2 is 700,000 N. This is a significant force, which is required to overcome the inertia of the massive object, and to move it down the runway.

What happens when two continental plates meet ?
A One will be heavier and subduct
B They will crash into each other and form mountains
C They will begin to move apart
D One plate will be scared and start crying

Answers

Answer:

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Explanation:

Answer:

option B is correct answer of this question

they will crash into each other and form mountains

hope it helps

A wire can be broken by applying load of 200N. The force required to break another wire of the same length and same material, but double in diameter is

Answers

The force needed to break another wire of the same length and material but twice the diameter is 200N.

Because the wires are made of the same material, their modulus of elasticity must be the same.

As a result, the ratio of longitudinal stress to longitudinal strain (Young's Modulus of Elasticity) must be the same. Now, the strains in both wires must be the same before they break.

Therefore,

stress = Young's modulus × strain,

both wires must be the same.

Because the second wire has a diameter twice that of the first, its area of cross section is four times that of the first. As a result, in order to generate the same stress, the force applied to the second wire must be four times that applied to the first wire.(since stress = force/cross section area).

Thus, the force required to break the second wire is 4200=800N.

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considering your answer to the previous problem, what is the difference in pressure within a fluid at its surface and a distance below its surface?

Answers

The pressure within a fluid at its surface is higher than the pressure at a distance below its surface.

The pressure within a fluid increases with depth due to the weight of the fluid above. The pressure at a distance below the surface of a fluid will be greater than the pressure at the surface. The difference in pressure between the surface and a distance below the surface can be calculated using the formula P = ρgh, where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth below the surface. The difference in pressure is directly proportional to the depth below the surface.

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--The complete question is, What is the difference in pressure within a fluid at its surface and a distance below its surface, in terms of which is value, which is greater?--

Question # 6
Multiple Choice
Which of the following explains why James, who operates an apple orchard that sells a very rare type of gourmet apple, would probably
choose NOT to participate in contract production?
O Because he independently grows a unique product, he is already locked in to the best price of the market.
He operates as a price-taker, that so there is no need to contract.
His rare commodity offers an increased cash flow and an expansion of operation.
As a seller of a rare commodity he is in a position to negotiate higher prices than commodity food producers.

Answers

The statement that explains why James, who operates an apple orchard that sells a very rare type of gourmet apple, would probably choose not to participate in contract production is because he independently grows a unique product, he is already locked in to the best price of the market (option A).

What is contract manufacturing?

Contract manufacturing or production occurs when a small business hires another company to produce its products.

This enables small business individuals to begin selling their products without obtaining the large amount of capital necessary to build and run a factory.

However, according to this question, James is a business individual who operates an apple orchard that sells a very rare type of gourmet apple.

Therefore, James would not need to participate in contract production because he independently grows a unique product, he is already locked in to the best price of the market.

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what is a rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down?

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The rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down is called Retro engine.

Spacecraft are the space automobiles that might be capable of flying out of doors of the Earth’s ecosystem in the area. They offer us a method of transportation from the Earth to the area and objects in it. There may be numerous spacecraft that are familiar to most of people e.g. Apollo 11 which took Neil Armstrong and his group to the Moon.

Crewed Spacecraft – Crewed spacecraft are the ones that carry people to the area. There have been several crewed spacecraft to the area consisting of Vostok 1 – the first crewed spacecraft in records dispatched by way of the United States of America.

Earth-Orbit Satellites – all of the satellites, which orbit across the Earth, fall in this class. The maximum tremendous satellite in orbit on the Earth is Hubble Telescope.

Space Probe – these are unmanned spacecraft that might be fitted with medical instruments for exploring objects in space e.g. planets, Moon, and solar.

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astronomers have compared the relative abundances of different isotopes of neon found in moon rocks with those found in the solar wind. what conclusion have they drawn?

Answers

From this comparison, they have drawn the conclusion that the isotopic composition of neon in lunar samples is significantly different from that of the solar wind.

Based on the comparison of the relative abundances of different isotopes of neon found in moon rocks and those found in the solar wind, astronomers have concluded that the isotopic composition of the moon is very similar to that of the Earth. This suggests that the moon was formed from material that was ejected from the Earth during a collision with a Mars-sized object early in the history of the solar system. The similarity in isotopic composition between the moon, Earth, and solar wind also provides evidence for the idea that the solar system was formed from a cloud of gas and dust that was well-mixed and homogeneous in composition.
Astronomers have compared the relative abundances of different isotopes of neon found in moon rocks with those found in the solar wind. From this comparison, they have drawn the conclusion that the isotopic composition of neon in lunar samples is significantly different from that of the solar wind.

This finding supports the theory that the Moon was formed from material ejected during a giant impact between Earth and a Mars-sized body, which would have led to a distinct isotopic composition compared to the solar wind. Additionally, it also suggests that the Moon's surface has not been significantly altered by solar wind over time, preserving its original isotopic composition.

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Runner A takes 45 s to run 400 m. Runner B takes 48 s to run the same distance. Which runner has the greater average speed?​

Answers

runner A because they completed it in a less amount of time
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