If runner A is running at 7.50 m/s and runner B is running at 7.90 m/s, how long will it take runner B to catch runner A if runner A has a
55.0-m head start?

Answers

Answer 1

Answer:

t= 137.5 s

Explanation:

So if we are wanting to figure out how long it takes runner B to catch runner A. we must first set the slope of each runner equal to one another

Slopes:

Runner A:    y = 7.50x + 55

Runner B:    y = 7.90 x

sooooo

  7.50 x + 55 = 7.90 x

- 7.50 x          - 7.50 x

 55 = .40 x

55/.40 = .40 x / .40

x = 137.5 s

t= 137.5 s

7.50 * 137.5 + 55 =1086.25 m

7.90 * 137.5 =  1086.25 m

Answer 2

Runner B will catch Runner A after approximately 44.00 seconds.

To determine the time it takes for Runner B to catch Runner A, we need to consider their relative speeds and the initial distance between them.

Runner B is running faster than Runner A, so the distance between them will decrease over time. The relative speed of Runner B with respect to Runner A is the difference in their speeds:

Relative speed = Speed of Runner B - Speed of Runner A

Relative speed = 7.90 m/s - 7.50 m/s = 0.40 m/s.

Runner B needs to cover the initial distance (head start) of 55.0 meters between them. The time it takes for Runner B to catch up to Runner A can be calculated using the formula:

Time = Distance / Relative Speed.

Time = 55.0 m / 0.40 m/s = 137.5 seconds.

However, this time includes the time taken by Runner A to run the initial distance. To find the time taken by Runner B to catch Runner A after accounting for the head start, we subtract the initial time from the total time:

Time taken by Runner B = Total time - Time taken by Runner A.

Runner A's initial time = Distance / Speed = 55.0 m / 7.50 m/s = 7.3333 seconds.

Time taken by Runner B = 137.5 seconds - 7.3333 seconds = 130.1667 seconds.

Rounded to two decimal places, it takes Runner B approximately 130.17 seconds to catch up to Runner A.

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Related Questions

how is the study of physics applied in mining engineering​

Answers

Answer:

I hope it's help

Explanation:

Brainliest me pls tysm

What percentage of the initial potential energy has been converted into heat instead of
kinetic energy?

Answers

Answer:

ok yellow im new i mean hellow

Hello, I'm struggling with this physics worksheet.
A flywheel (disk) initially spinning at 1850 rpm counterclockwise is brought to rest in 3.00 minutes
a. What is the wheel's average angular acceleration?
b. What is the angular displacement of the flywheel during this acceleration?
c. If the flywheel has a mass of 155 kg and a radius of 0.650 m, what torque was required to accelerate it?
Thank you in advance.

Answers

(a) The wheel's average angular acceleration is 1.076 rad/s².

(b) The angular displacement of the flywheel during this acceleration is 17,455.6 rad.

(c) The torque required to accelerate the flywheel is 35.23 Nm.

Average angular acceleration of the flywheel

The average angular acceleration of the flywheel is calculated as follows;

[tex]\alpha = \frac{\Delta \omega}{t} \\\\\omega_f = 1850\frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1\min}{60 \ s} = 193.76 \ rad/s\\\\\alpha = \frac{\omega _f - \omega_i}{t} \\\\\alpha = \frac{193.76 -0}{3\min\times 60 \ s} \\\\\alpha = 1.076 \ rad/s^2[/tex]

Angular displacement

The angular displacement of the flywheel during this acceleration is calculated as follows;

[tex]\omega_f^2 = \omega_i ^2 + 2\alpha \theta\\\\\omega_f^2 = 0 + 2\alpha \theta\\\\\theta = \frac{\omega_f^2}{2\alpha} \\\\\theta = \frac{(193.76)^2}{2(1.076)} \\\\\theta = 17,445.6 \ rad[/tex]

Moment of inertia of the flywheel

[tex]I = \frac{1}{2} mr^2\\\\I = \frac{1}{2} \times 155 \times 0.65^2\\\\I = 32.74 \ kgm^2[/tex]

Torque

The torque required to accelerate the flywheel is calculated as follows;

[tex]\tau = I \alpha\\\\\tau = 32.74 \times 1.076\\\\\tau = 35.23 \ Nm[/tex]

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Mother Father Jane Matt
brown eyes blue eyes brown eyes brown eyes
curly hair straight hair straight hair curly hair
Jane and her brother Matt look a little bit alike. Jane made a table. She wanted to figure out how she and Matt inherited certain traits.

Based on Jane's table, what can she say about their inherited traits?
Question 1 options:

A. Jane and Matt look like their mother.


B. Only a father can pass on the color of eyes.


C. Hair type is not passed down from parent to child.


D. Jan and Matt inherited eye color from their mother.

Answers

Traits are the expression of alleles combination in a genotype, and depend on the inherited alleles and the inheritance pattern. Option D. Jane can say that she and Matt inherited eye color from their mother.  

How are traits inherited?

Traits are the expression of the allelic combination in a genotype. The expressed phenotype will depend on the alleles inherited from each parent and the inheritance pattern.

According to the segregation principle, alleles separate during gamete formation. And during fertilization, two gametes from different parents merge to produce a zygote.

Each gamete carries one of the parental alleles. During fertilization occurs a combination of alleles that will express a phenotype.

Traits inheritance do not depend on each other, they are inherited by separate.

In the exposed example, eye color and hair type expression depend on the combination of the alleles in each genotype. And each trait is independently inherited from the other one.

Available data:

Mother

brown eyescurly hair

Father

blue eyesstraight hair

Jane

brown eyesstraight hair

Matt

brown eyescurly hair

A. Jane and Matt look like their mother ⇒ Only Matt looks like the mother because both of them have brown eyes and curly hair. Jane has brown eyes but straight hair.

B. Only a father can pass on the color of eyes ⇒ Both parents can pass the color of eyes, no only the father.

C. Hair type is not passed down from parent to childHair type is inherited from parents.

D. Jane and Matt inherited eye color from their mother ⇒ Yes, both of them inherited eye color from their mother. The three of them have brown eyes.

Based on her table, Jane can say that she and Matt inherited eye color from their mother. Option D.

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A train is moving with an acceleration of O m/s2 and a velocity of 60 km/hr. Is this
possible? Explain your answer.

Answers

Answer:

        I presume that by O you mean zero.

a = (v2 - v1) / t for uniformly accelerated motion

If v2 = v1 then any velocity is theoretically possible. (with no acceleration)

A 2.9-kg block slides with a speed of 2.1 m/s on a frictionless horizontal surface until it encounters a spring. (a) If the block compresses the spring 5.6 cm before coming to rest, what is the force constant of the spring

Answers

Answer:

spring force

Explanation:

The spring force is the force exerted by a compressed or stretched spring upon any object that is attached to it. An object that compresses or stretches a spring is always acted upon by a force that restores the object to its rest or equilibrium position.

what is photosynthesis​

Answers

Process by which a plant makes its food.

Carbon dioxide + water ➡️ glucose + oxygen

Answer:

photosynthesis is the process where by plants/green plants make their own food

The importance of physics to mining engineering

Answers

Answer:

The process of mining is complicated and involves physics. Two main components of mine cycle are Drilling and Blasting. Some important factors in mining are the pillars, rock elasticity, and the slope stability of the ground being mined.

Which of the following is not a power of congress?

A: ratifying presidential appointments

B: advising the president on a peace treaty?

C: commanding the armed forces

D: declaring war

Answers

Answer:

declaring war,

These include the power to declare war, coin money, raise an army and navy, regulate commerce, establish rules of immigration and naturalization, and establish the federal courts and their jurisdictions.

Explanation:

hope it helps

Answer:option no.D:declaring war

Artists can create emphasis in a competition using

Answers

Answer:

Microphone and speaker

condition necessary for thermodynamic equilibrium​

Answers

Answer:

For a thermodynamic system to be in equilibrium, all intensive (temperature, pressure) and extensive thermodynamic properties (U, G, A, H, S, etc) must be constants. Hence, the total change in any of those properties (dℑ ) must be zero at equilibrium.

Explanation:

hope it helps :)

Answer: For a thermodynamic system to be in equilibrium, all intensive (temperature, pressure) and extensive thermodynamic properties (U, G, A, H, S, etc) must be constants. Hence, the total change in any of those properties (dℑ ) must be zero at equilibrium.

Explanation:

Please help me do this. Study the scenario.


A lever is used to lift a heavy weight. The length of the input arm of the lever is 3 m, the length of output arm is 1 m.


What is the mechanical advantage of the lever?

A.) 3

B.) 0.33

C.) 1

Answers

The mechanical advantage of the lever is 3 and the right option is A.) 3.

What is mechanical advantage?

Mechanical advantage can be defined as the ratio of load to effort in a machine.

To calculate the mechanical advantage of the lever, we use the formula below.

Formula

M.A = y/x................ Equation 1

Where:

M.A = mechanical advantage of the levery = distance moved by effort (input arm)x = distance moved by load (output arm)

From the question,

Given:

y = 3 mx = 1 m

Substitute these values into equation 1

M.A = 3/1 M.A = 3.

Hence, The mechanical advantage of the lever is 3 and the right option is A.) 3.

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In an electrical storm, an electric field builds up in the space between a cloud and the ground. Lightning occurs when the magnitude of the electric field reaches a critical value EC, at which air is ionized.

Required:
a. Treat the cloud as a flat square with sides of length L. If it is at a height h above the ground, find the amount of energy released in the lightning strike.
b. Based on your answer from part a, which is more dangerous, a lightning strike from a high-altitude cloud or a low-altitude one

Answers

This answer was deleted by a Brainly Staff Member for violating our Terms of Service.

What is the momentum of a two-particle system
composed of a 1300 kg car moving east at 20 m/s
and a second 1100 kg car moving west at 85 m/s?
Let east be the positive direction.
Answer in units of kg. m/s.

Answers

Answer:

-67,500 kgm/s

Explanation:

1300 * 20 + 1100 * (-85) = -67,500 kgm/s

Why do metals conduct electricity?
A. The electrons in metals are inside the nuclei of the atoms.
B. All covalent bonds conduct electricity.
C. A lattice of ions allows valence electrons to move easily.
D. Metals never give up electrons.

Answers

Why do metals conduct electricity?

A. The electrons in metals are inside the nuclei of the atoms.

B. All covalent bonds conduct electricity.

C. A lattice of ions allows valence electrons to move easily. ✓

Free electrons help the electricity to spread all over the metal,making it a good conductor of electricity

D. Metals never give up electrons.

In the combo circuit diagrammed, R1 = 19.2 Ω, R2 = 20.7 Ω, and R3 = 25.8 Ω. Find the equivalent resistance of the circuit.

Answers

Answer:

Equivalent resistance: 13.589 Ω

Explanation:

R series = R1 + R2 + R3 ...

[tex]\frac{1}{R_{eq} } = \frac{1}{R1} +\frac{1}{R2} +\frac{1}{R3} ...[/tex]

Find the equivalent resistance of the right branch of the circuit:

[tex]R_{eq} = R_{2} +R_{3} \\R_{eq} = 20.7 + 25.8 = 46.5 ohms[/tex]

[tex]\frac{1}{R_{eq} } = \frac{1}{19.2} +\frac{1}{46.5}\\\\\frac{1}{R_{eq} } = 0.0735887097\\\\R_{eq} = 13.5890411[/tex]

Cold air holds less water than warm air.
True
False

Answers

Answer:

The answer is for your question is :

Explanation:

True

A gas at 110atm and 303K filled a container of 2L. If the temperature is raised to 353 K and the pressure is increased to 440atm, what is the new volume

Question 4 options:

5.8 L


0.58 L


58 L


10.6 L

Answers

Answer:

0.58 L

Explanation:

For this problem we need to simply use the ideal gas equation to create a proportional comparison for the initial information to the final information.

(P_1 * V_1) / T_1 = (P_2 * V_2) / T_2

Using this, we can solve for V_2 to find the new volume of the gas once pressure and temperature changes.

(P_1 * V_1) * T_2 / T_1 = (P_2 * V_2)

(P_1 * V_1) * T_2 / (T_1 * P_2) = V_2

Consider our givens:

P_1 = 110atm

T_1 = 303K

V_1 = 2L

P_2 = 440atm

T_2 = 353K

Now we simply plug in these values to the equation to find the new volume, V_2.

(P_1 * V_1) * T_2 / (T_1 * P_2) = V_2

(110atm * 2L) * 353K / (303K * 440atm) = V_2

77660 atm*L*K / 133320 K*atm = V_2

0.583 L = V_2

Hence, the new volume is 0.583 L.

Cheers.

Discuss the relevance of studying physics in relation to mining engineering?

Answers

the relevance of studying physics in relation to mining engineering

What is the kinetic energy of a moving toy car if the car has a mass of 15.0 kg and the velocity is 7.2 m/s ? ______ J

Answers

Answer:

389 J

Explanation:

m = 15.0 kg, v = 7.2 m/s

Kinetic energy = mv²/2 = 15.0 * 7.2²/2 = 389 J

A gun whose mass is 0.8kg fires a bullet whose mass is 0.016kg with a velocity of 700m/s, calculate the velocity of the gun recoils.

Answers

Answer:

A gun whose mass is 0.8kg fires a bullet whose mass is 0.016kg with a velocity of 700m/s, calculate the velocity of the gun recoils.

→ 14m/s

Hope its help

what is the value of Stephen's constant ?

thankyou ~​

Answers

5.67×10 −8 W/m 2 −K 4

Brainliest if correct

Answers

Answer:

D: Increase the distance between the objects.

E: Decrease the mass of one of the objects.

300cm3 of O₂ will be collected over water at a temperature of 25°c and 1atm (101325 NM-2) What will be the volume of dry oxygen at S.T.P? (water pressure at 25c is 16630M²)

Answers

The volume of the gas is calculated as 1827.87cm^3

Data;

Initial volume (v1) = 300cm^3Initial Pressure (p1) = 1atm = 101325 NM^-2Final Volume = ?Final Pressure (P2) = 16630NM^-2

Boyle's Law

To find the final volume of oxygen, we have to use Boyle's law which states that the volume of a gas is inversely proportional to the pressure of the gas provided that temperature remains constant.

v ∝ 1/p

[tex]v = \frac{k}{p} \\k = pv\\p_1 v_1 = p_2 v_2[/tex]

Let's substitute the values into the equation and solve.

[tex]p_1v_1 = p_2v_2\\101325*300 = 16630 * v_2\\30397500 = 16630v_2\\v_2 = \frac{30397500}{16630} \\v_2 = 1827.87cm^3[/tex]

The volume of the gas is calculated as 1827.87cm^3

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Given that the solar spectrum corresponds to a temperature of T=5800K and peaks at a wavelength of λ =500nm, use Wien’s law to determine the wavelength ( λ ') corresponding to the peak of the blackbody curve (a) in the core of the Sun, where the temperature is T'=107 K, (b) in the solar convection zone (105 K), and (c) just below the solar photosphere (104 K). [Hint: =′′ λ T = λ ′ T ′ (why?)] What form (visible, infrared, X ray, etc.) does the radiation take in each case?

Answers

Explanation:

Given that the solar spectrum corresponds to a temperature of T=5800K and peaks at a wavelength of λ =500nm, use Wien’s law to determine the wavelength ( λ ') corresponding to the peak of the blackbody curve (a) in the core of the Sun, where the temperature is T'=107 K, (b) in the solar convection zone (105 K), and (c) just below the solar photosphere (104 K). [Hint: =′′ λ T = λ ′ T ′ (why?)] What form (visible, infrared, X ray, etc.) does the radiation take in each case?

A train has a final velocity of 110 km/h. It accelerated for 36 s at 0.50 m/s2 . What was its initial velocity

Answers

The initial velocity of the train  is 12.56 m/s.

Initial velocity

The initial velocity of the train can be determined by using the first kinematic equation as shown below;

v = u + at

u = v - at

where;

v is the final velocity = 110 km/h = 30.56 m/su is the initial velocity

u = 30.56 - (36 x 0.5)

u = 12.56 m/s

Thus, the initial velocity of the train  is 12.56 m/s.

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A 500 gram ball is hit with a force of 100 N, what is its acceleration in m/s^2?

Answers

Answer:

200 m/^2

Explanation:

Fnet =ma

100 =(0.5)(a)

100÷0.5= 0.5a ÷ 0.5 (divide both sides by 0.5)

200 m/s^2= a

How long does it take for a whale travelling at 15 m/s to travel 100 m?

Answers

1/80 Hour...................

You can test the flexibility in the backs of your legs, hips, and lower back with the “sit-and-reach” activity.

true or false

I NEED ANSWER TODAY RN!!!

Answers

True!

Hope this helps!!

What percentage of the initial potential energy has been converted into heat instead of
kinetic energy?

Answers

The percentage of the initial potential energy that has been converted into heat is 18.07%.

What is potential energy?

Potential energy can be defined as the energy of a body due to its position in the gravitational field.

To calculate the percentage of the initial potential energy that has been converted into heat, we use the formula below.

Formula:

H(%) = [(P.E-K.E)/P.E]100............... Equation 1

Where:

H = Energy converted to heatP.E = Potential energyK.E = Kinetic energy.

But,

P.E = mgh........... Equation 2

From the diagram,

m = mass = 0.5 kgh = 7 cm = 0.07 mg = 9.8 m/s²

Substitute these values above into equation 2

P.E = (0.5×9.8×0.07) P.E = 0.343 J

Also From the diagram,

K.E = 0.281 J.

Substitute these values into equation 1

H(%) = [(0.343-0.281)/0.343]100H(%) = 18.07%.

Hence, the percentage of the initial potential energy that has been converted into heat is 18.07%.

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