Runner A is initially 5.8 km west of a flagpole and is running with a constant velocity of 8.6 km/h due east. Runner B is initially 4.9 km east of the flagpole and is running with a constant velocity of 7.1 km/h due west. How far are the runners from the flagpole when their paths cross? Answer in units of km.

Answers

Answer 1

Answer:

Runner A will be 0.05 km from the flagpole, and runner B will be 0.07 km from the flagpole

Explanation:

We can find when their paths will cross as follows:

[tex] X_{f} = X_{0} + v_{0}t + \frac{1}{2}at^{2} [/tex]

Where:

[tex]X_{f}[/tex] is the final position

[tex]X_{0}[/tex] is the initial position

v₀ is the initial speed

t is the time

a is the acceleration = 0 (since they are running with a constant velocity)

When their paths cross we have:

[tex]X_{fA}+X_{fB}=5.8+4.9=10.7 km[/tex]

[tex]V_{A}t+V_{B}t=10.7[/tex]

[tex]8.6t+7.1t=10.7[/tex]

[tex]t = 0.68 h[/tex]

Now we can find the final distance of each runner.

[tex]X_{fA}=V_{A}*0.68[/tex]

[tex]X_{fA}=8.6*0.68 km[/tex]

[tex]X_{fA}=5.85 km[/tex]

[tex]X_{fB}=V_{B}*0.68[/tex]

[tex]X_{fB}=7.1*0.68[/tex]

[tex]X_{fB}=4.83 km[/tex]

Therefore, runner A will be 0.05 km from the flagpole, and runner B will be 0.07 km from the flagpole.

I hope it helps you!

     


Related Questions

13. How much dimmer than the sun is Eridani B2​

Answers

Answer: Eridani B2 appears only [tex]6.73[/tex]×[tex]10^{-13}[/tex] as bright as the sun.

does changing position of charges change the magnitude

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Answer:

No, they will not change.

Explanation:

. Exercises that specifically prepare the muscles for active movements

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Answer:

Dynamic Stretching

Explanation:

Dynamic Stretching: Dynamic stretches are controlled movements that prepare your muscles, ligaments and other soft tissues for performance and safety.

Answer:

Stretching such as toe touches

An object accelerates from rest to a velocity of 34 m/s
over a distance of 70 m. What was its acceleration?

Answers

Answer:

6.8m/s²

Explanation:

Given parameters:

Initial velocity = 0m/s

Final velocity  = 34m/s

Distance  = 70m

Unknown:

To solve this problem we apply one of the motion equations;

     V²   = U² + 2aS

where V is the final velocity

           U is the initial velocity

           a is the acceleration

         S is the distance covered

Input the parameters and solve;

   34² = 0² + 2 x a x 70

  34² = 140a

   a  = 6.8m/s²

Can someone please help me on this?

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Answer:

80

Explanation:

"As long as the baseball I hit is
moving upward, there is no air resistance. Air resistance only slows it down when it is falling downward."

Answers

Answer:

Air resistance is always in play so it always has air resitance no matter what.

what happens to the wave length and frequency of a wave as it crosses a different medium and speeds​

Answers

Answer:  SEE EXPLANATION!

Explanation:

When waves travel from one medium to another the frequency never changes. As waves travel into the denser medium, they slow down and wavelength decreases. Part of the wave travels faster for longer causing the wave to turn. The wave is slower but the wavelength is shorter meaning frequency remains the same.

I hope this helps you!

What is a scientific theory?

Answers

Answer:

Scientific theories are explanations of some aspect of the natural world based on repeated observations.

Hope this helps!!!!

Answer:

The way that scientists use the word 'theory' is a little different than how it is commonly used in the lay public," said Jaime Tanner, a professor of biology at Marlboro College. "Most people use the word 'theory' to mean an idea or hunch that someone has, but in science the word 'theory' refers to the way that we interpret facts.

Explanation:

How many joules of kinetic energy does the pendulum have when it has 50 J of potential energy?

Answers

Answer:

We do not have the information of the pendulum, so i will answer in a general way.

First, as you know, the total energy can be written as:

E = U + K

Where:

U = potential energy

K = kinetic energy.

Now, by the conservation of energy, we know that E does not change.

This means that if U increases an amount x, then K must decrease by the same amount.

Now, at the maximum height of the pendulum, the velocity is zero, this means that in this point the kinetic energy is 0j.

E = 0 + U

E = U.

Another thing that you may know about pendulums is that, if the initial displacement is by an angle θ, then the angle between the string and the vertical can never be more than θ.

And we know that:

U = m*g*h

in this case, we can write h, the maximum height, as:

h = L*(1 - cos(θ))

Where:

L is the length of the string, g is the gravitational acceleration and m is the mass of the pendulum.

Then the total energy of the pendulum is:

E = m*g*L*(1 - cos(θ))

And we had that:

E = K + U = m*g*L*(1 - cos(θ))

Then, if in a given point we have U = 50j, the kinetic energy must be:

K + 50j = m*g*L*(1 - cos(θ))

K = m*g*L*(1 - cos(θ)) - 50j

a motorcycle stunt driver rides his motorcycle off a small ledge that is 8.4m high his initial velocity as he rides off the ledge is 25m/s in the horizontal direction how long does it take before he lands on the ground. answer= 1.3 s

Answers

Answer:

1.3s

Explanation:

Which of the following statements is not true about genes?
A. Genes consist of hormones that regulate bodily functions.
B. Genes are DNA segments that are carried in each chromosome.
C. Genes serve as the biochemical units of heredity.
D. Genes operate in pairs and influence one's physical traits.

Answers

Answer:

A.) Genes consist of hormones that regulate bodily functions.

Explanation:

The statements (A), (B) and (C) are correct to explain the functions of Genes in a human body.

The given problem is based on the concept and fundamentals of Genes. Genes in a human body acts as a set of instruction that determine the likings of the organism, its appearance, and its behavior in its environment.

As per the above definition, Genes are the hormones that is responsible for the regulation of functions of body.Genes are made of a substance called deoxyribonucleic acid, or DNA. Moreover, it is a short section of DNA that contains instructions that tell the cells to make molecules called proteins.It is responsible for the transmission of hereditary from one biological unit to another, therefore it is known to serve as Biochemical unit for Heredity.

Thus, we can conclude that the statements (A), (B) and (C) are correct to explain the functions of Genes in a human body.

Learn more about the Genes here:

https://brainly.com/question/8832859

Which has more inertia?
A human or an elephant and explain why?

Answers

Answer:

A human

Explanation:

An elephant weighs more, therefore it's gravitational pull by Earth impacts it more than a human.

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

Explanation:

Think of it this way: An elephant has more inertia than a human. It is much harder to push an elephant across a floor than it is a human, and much harder to stop the elephant once it is moving. Therefore, by definition, an elephant has more mass than a human.

Mass
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?
kg

HELP ME PLS

Answers

Answer:

2kg

Explanation:

100N = Force 50m/s²= Acceleration

Mass=?

the equation is;

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

100÷50=2

What is special about decomposers? *

a. they are autotrophs that absorb nutrients that have been digested outside their bodies.
b. they are heterotrophs that absorb nutrients that have been digested outside their bodies.
c. they are autotrophs that digest food internally (inside their bodies)
d. they are heterotrophs that digest food internally (inside their bodies)

Answers

D. They are heterotrophs that digest food internally.

The formula for calculating density, D, is D=MV, where M represents mass and V represents volume.

For liquids, volume is often given in cubic centimeters (cc), which is the same as cm 3. If the density of an unknown liquid is 1.6 g/cc, what is the mass of 800 cc of the unknown liquid in grams (g)?

Answers

Answer:

Density 1.6g/cc means that every 1(one) cubic centimeter of the liquid has a mass of 1.6 grams.

Then, what about 800 cubic centimeters – how much mass, in grams, will it have  ?

= 1.6 * 800 = 1280 g

Explanation:

The weight of a box is having a mass of 100 kg is ___n

Answers

Answer: the weight of the box is 980N

Explanation:

The weight an object has is defined as  the force of gravity acting  on that object which is given as

w =m x g

Since weight is defined as a force, it can also be written as

w=mg

= F= mg

where m= mass of the object in kg given as 100Kg

an g is the gravitational acceleration in  m/s^2 =  g is 9.8 m/s2

F= mg

F = 100 kg x 9.8 m/s2

F== 980Kgm/s^2 = 980N

Therefore the weight of the box is 980N

The temperature of a 5.0 kg block increases by 3 degrees C when 2,000 J of thermal energy are added to the block. What is the specific heat of the block? _____________

Answers

Sorry bro I just need points for my calculus exam

A ball is projected horizontally from the top of a cliff and free falls to the ground.
Which one of the following statements accurately describes the ball's motion?

Answers

They will both land at the same time.

An object dropped from rest and falls a distance of 80 m.
What is the objects displacement

Answers

Answer:

Δx = -80m

Explanation:

The object's displacement is -80m because it landed 80m below where it started.

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Why is it important to keep the mass (weight) of your car low?
Words to use:
Mass, inversely proportional (as mass goes up, acceleration goes down),
acceleration (to change motion), force

Answers

Answer:

Mass is the correct answer.

Explanation:

Many drivers report a more positive handling response and a definite improvement when reducing unsprung mass. You want to keep unsprung weight to as little as possible. This minimizes the momentum and energies that your suspension has to counter. In effect, it can make your shocks more sensitive.

Answer:

If you push hard, the block's bottom will move out from under its center of gravity and the block will tip over. The taller the block, the easier it is to push the bottom out from under the center of gravity. Keeping a car's center of gravity low is important to avoiding disaster during turns. But if you don't keep the car's center gravity low it will be inversely proportional and the acceleration can be damaged with force, and its mass could get disproportionate.

Explanation:

I'm sorry i tried my best. :/

A go cart engine applies a force of 888N and moves the cart forward 22m.
a) How much work is done?
b) We put on a bigger engine (1111N) but the cart still moves forward 22m. How much work is done now?
c) Why would you put on a bigger engine if you are still moving 22m?

Answers

Answer:

Explanation:

a) work=Force times distance. given force is 888N and distance travelled is 22M

work= 888 x 22 = 19536J or 1.954x10^5J

b) work = 1111 x 22= 24442J or 2.444x10^5J

c) putting on a larger engine means that there are gonna be more force applied to the go cart. therefore the cart will travel the same distance faster

a. The amount of work done by the go cart engine is 19,536 Nm.

b. The amount of work done when a bigger engine is used is 24,442 Nm.

c. The reason why a bigger engine is used is, so that the engine can easily do more work in the same amount of distance.

Given the following data:

Force A = 888 NewtonDistance = 22 meterForce B = 1111 Newton

a. To determine the amount of work done by the go cart engine:

Mathematically, the work done by an object is given by the formula;

[tex]Work\;done = Force \times distance[/tex]

Substituting the given parameters into the formula, we have;

[tex]Work\;done = 888 \times 22[/tex]

Work done = 19,536 Nm.

b. To determine the amount of work done when a bigger engine is used:

[tex]Work\;done = Force \times distance[/tex]

[tex]Work\;done = 1111 \times 22[/tex]

Work done = 24,442 Nm.

c. The reason why a bigger engine is used is, so that the engine can easily do more work in the same amount of distance.

Read more: https://brainly.com/question/22599382

NEED HELP ASAP!!!

If 100 newtons of force are applied over a distance of 50 meters for 5 seconds, how much power is used
2,500 watts
1,000 joules
10 watts
1,000 watts

Answers

Answer:

2,500 watts

Explanation:

I got this answer right on a test. I hope it works for you to.

Answer:

2500 wats

Explanation:

An egg is dropped from the top of the band hall. If the band hall is 25 m
tall, determine the time it takes the egg to hit the ground.

Answers

Answer:

2.26s

Explanation:

The time it takes for the egg to hit the ground can be calculated using the formula:

S = ut + 1/2at²

Where; S = distance of handball from ground (m)

t = time (s)

a = acceleration due to gravity (9.8m/s²)

u = initial velocity = 0m/s

Inserting our values into the formula, we have:

25 = (0 × t) + 1/2 (9.8 × t²)

25 = 0 + 9.8t²/2

25 = 9.8t²/2

25 × 2 = 9.8t²

50 = 9.8t²

t² = 50/9.8

t² = 5.102

t = √5.102

t = 2.258

t = 2.26s

Is silicone a better conductor then silver

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Answer: Silicon is better

Hope it helps!!

Please fast ?????????

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Answer:

Explanation:

Kinetic

How fast would an inline skater have been traveling if he had covered 400 m in 10
seconds?

Answers

Answer:

The answer is 40 m/s

Explanation:

The speed or velocity of an object given it's distance and time taken can be found by using the formula

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

From the question we have

[tex]v = \frac{400}{10} \\ [/tex]

We have the final answer as

40 m/s

Hope this helps you

Which of the following is not a force? *
gravity
friction
tension
acceleration

Answers

Answer:

tension

Explanation:

its a feeling

A car pulling out of a gas station accelerates from rest at a constant rate it covers 1200 meters in 30 seconds. What is the rate of acceleration

Answers

The car accelerates at 40 meters per second.

All living things are made of one or more cells.
True
False

Answers

false because their are single cell organisms

Answer:

the correct answer is false

from the list below, which athlete would need to focus on cardiovascular endurance?

A. Body Builder

B. Baseball Player

C. Marathon Runner

D. Bowler ​

Answers

Answer:

A. body builder

Explanation:

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