A jogger runs 3 miles east then 7 miles west what is her displacement

Answers

Answer 1

Answer: 4 miles.

Explanation:

Let's use the rectangular coordinates (x,y)

And define:

East as the positive x-axis.

North as the positive y-axis.

We know that, if the jogger starts at the point (0mi, 0mi):

"Runs 3 miles East"

Then the new position is (3mi, 0mi)

"Then 7 miles west"

The new position is (3mi - 7mi, 0mi) = (-4mi, 0mi)

Now, the displacement is calculated as the difference between the initial position and the final position, and this can be written as:

D = I (-4mi, 0mi) - (0mi, 0mi)I = √( (-4mi - 0mi)^2 + (0mi - 0mi)^2) = 4mi

The total displacement is 4 miles.


Related Questions

A watch manufacturer claims that its watches gain or lose no more than 8 seconds in a year. How accurate are these watches, expressed as a percentage?

Answers

Answer:

Accurate at 99.9999746%

Explanation:

First of all, let's calculate how many seconds we have in a year which has 365 days.

1day = 24 × 60 × 60 seconds = 86400 s

Thus, for 365 days, we have;

86400 × 365 = 31536000 seconds

Now, since 1 year has 31536000 seconds, let's find the ratio of efficiency.

We are told that the watch manufacturer claims that its watches gain or lose no more than 8 seconds in a year. Thus, efficiency is given by;

Efficiency = (8/31536000) × 100% = 0.00002536783 %

Thus, it will be be accurate at;

100% - 0.00002536783% ≈ 99.9999746%

A car goes from 30 m/s to 20 m/s in 2 seconds. What is the acceleration of the car in m/s2?

Answers

Answer:

[tex] \boxed{\sf Acceleration \ of \ the \ car = -5 \ m/s^2} [/tex]

Given:

Initial speed (u) = 30 m/s

Final speed (v) = 20 m/s

Time taken (t) = 2s

To Find:

Acceleration (a) of the car

Explanation:

From equation of motion we have:

[tex] \boxed{ \bold{v = u + at}}[/tex]

By substituting value of v, u & t in the equation we get:

[tex]\sf \implies 20 = 30 + a(2) \\ \\ \sf \implies 2a + 30 = 20 \\ \\ \sf \implies 2a = 20 - 30 \\ \\ \sf \implies 2a = - 10 \\ \\ \sf \implies a = - \frac{10}{2} \\ \\ \sf \implies a = - 5 \: m {s}^{ - 2} [/tex]

[tex] \therefore[/tex]

Acceleration (a) of the car = -5 m/s²

A driver starts her car and steps on the gas pedal. The car gradually

accelerates to 60 km/hr and maintains this velocity. A few minutes later, the driver suddenly slams on the brakes to avoid hitting a squirrel. As the car comes to a stop, the driver's body appears to lurch forward in the seat until it is restrained by the seat belt.

Which graph best represents the motion of a car described in the paragraph above?

Graph C

Graph D

Graph A

Graph B

Answers

I think it’s graph A hope I helped

A substance has density ρ, mass m, and volume V. If the volume is tripled, what is the new mass?

Answers

Since the density of the substance is ρ (rho),

==> every cm³ of this substance has ρ grams of mass.

Then

==> V cm³ of it has ρV grams of mass.  That's ' m '.

and

==> 3V cm³ of it has 3ρV grams of mass.  That's ' 3m '.

1. In a biology experiment the number of yeast cells is determined after 24 hours of growth at
different temperatures.
a) Identify the independent and dependent variables in the experiment.

Answers

Answer:

Find the answer in the explanation

Explanation:

Given that In a biology experiment the number of yeast cells is determined after 24 hours of growth at different temperatures

The dependent variable depends on the value of the independent variable.

From the question above,

The independent variable is the temperature

While the dependent variable is the number of yeast cells

Why are chloroplasts found in plant cells but NOT in animal cells?

Answers

Answer:

Its is because plants dont get sugar from eating food so, they need chloroplast to make food with the help of sunlight.Whereas animal can get sugar from the food they eat.

action and reaction are equal in magnitude and opposite in direction then , why do not they balance each other​

Answers

Explanation:

Newton’s third law of motion states that every action has an equal and opposite reaction. This indicates that forces always act in pairs. Reaction forces are equal and opposite, but they are not balanced forces because they act on different objects so they don’t cancel each other out.

a car travels at a speed of 30 mph. how far does the car travel in 2 hours

Answers

Answer:

The car would travel 60 miles in 2 hours.

Explanation:

The distance for an hour is already given, 30 miles per hour.

Given this you could multiply 30 by 2 which gives you 60.

The distance of the car is its speed times the time taken. The speed of the car is 30 miles per hour and time of travel is 2 hours. Then, the distance travelled is 60 miles.

What is speed?

Speed of a moving object is the measure of the distance travelled per unit time. The rate of speed is called velocity. Velocity of an object is a vector quantity.

As the object is covering more distance within small time, then the object is said to have greater speed. Speed of an object also depends on is mass.

Given the speed = 30 mph

time taken = 2 hours

distance  = speed  × time

= 30 × 2 = 60 miles.

Therefore, the distance travelled by the car is 60 miles.

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state the sources of alternating current

Answers

Answer:

hudroelectricity

..........

Answer:

generator, crystal oscillator, alternator are sources of AC current.

Un cuerpo de m=0,5 Kg se desplaza horizontalmente con v=4m/s y luego de un lapso de tiempo se mueve con v=20 m/s. ¿cual ha sido la variación de la energÍa cinética?

Answers

Responder:

64 Julios

Explicación:

La energía cinética se expresa mediante la fórmula KE = 1 / 2mv² donde;

m es la masa del cuerpo

v es la velocidad del objeto

Dado que el cuerpo se mueve horizontalmente con v = 4 m / sy después de un período de tiempo se mueve con v = 20 m / s, entonces la variación en la velocidad será de 20 m / s - 4 m / s = 16 m / s.

Parámetros dados

masa del objeto m = 0,5 kg

Variación de velocidad = 16 m / s

Variación de la energía cinética = 1/2 * 0,5 * 16²

Variación de la energía cinética = 1/2 * 0,5 * 256

Variación de la energía cinética = 0,5 * 128

Variación de la energía cinética = 64 Julios

a kayaker moves 32 meters northward then 6 meters southward finally 24 meters northward

Answers

Answer:

50m [N]

Explanation:

Think of these directions as if they were on a 2D plane. (if you're talking about displacement)

If you go 32m [N] then 6m [S], it's like you're moving backwards (-). (thus, 32n-6s=26m [N])

Next, you go north again, so moving forwards (+). (thus, 26n+24n=50m [N])

The distance he paddled was (32m + 24m + 6m)  =  56 meters.

His displacement after that was (32m - 6m + 24m) = 50 meters north.

A point charge of +3 C is located at the origin of a coordinate system and a second point charge of -6 C is at x = 1.0 m. At what point on the x-axis is the electrical potential zero?

Answers

Answer:

The point at which the electrical potential is zero is x = +0.33 m.

Explanation:

By definition the electrical potential is:

[tex] V_{E} = \frac{K*q}{r} [/tex]

Where:

K: is Coulomb's constant = 9x10⁹ N*m²/C²

q: is the charge

r: is the distance

The point at which the electrical potential is zero can be calculated as follows:

[tex] V_{1} + V_{2} = 0 [/tex]

[tex] K(\frac{q_{1}}{r_{1}} + \frac{q_{2}}{r_{2}}) = 0 [/tex]    (1)

q₁ is the first charge = +3 mC

r₁ is the distance from the point to the first charge  

q₂ is the first charge = -6 mC

r₂ is the distance from the point to the second charge    

By replacing r₁ = 1 - r₂ into equation (1) we have:

[tex]K(\frac{q_{1}}{1 - r_{2}} + \frac{q_{2}}{r_{2}}) = 0[/tex]   (2)

By solving equation (2) for r₂:

[tex]r_{2} = \frac{q_{1}}{q_{1} - q_{2}} = \frac{3 mC}{3 mC - (-6 mC)} = +0.33 m[/tex]

                 

Therefore, the point at which the electrical potential is zero is x = +0.33 m.

I hope it helps you!  

Since the two charges are placed on the x-axis. Then, the electric potential is zero at the distance of 0.66 m from the second point charge on the x-axis.

What is electric potential?

The electric potential at any point is the amount of work needed to move a unit positive charge from infinity to that point.

Given data-

The magnitude of a point charge is, Q = + 3 C.

The magnitude of the second point charge is, Q' = -6 C.

The distance between the two charges is, x = 1.0 m.

The expression for the net electric potential due to both the charges is,

[tex]V = \dfrac{k \times Q}{x} +\dfrac{k \times Q'}{x-y}[/tex]

here,

k is the Coulomb's constant.

y is the distance from the second point charge on the x-axis, where the net potential is zero.

Now, for zero net electric potential due to both the charges we have,

[tex]0 = \dfrac{k \times Q}{x-y} +\dfrac{k \times Q'}{y}\\\\\\-\dfrac{k \times Q'}{y}=\dfrac{k \times Q}{x-y}[/tex]

Solving as,

[tex]-\dfrac{(-6)}{y}=\dfrac{3}{1-y}\\\\6-6y=3y\\\\y =0.66\;\rm m[/tex]

Thus, we can conclude that the electric potential is zero at the distance of 0.66 m from the second point charge on the x-axis.

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only 90% can dothis plz helpme i will give brainliest brainliest brainliest brainliest brainliest brainliest brainliest brainliest brainliest brainliest brainliest Why magnetic bodies lose magnetic force? Why a nail gets magnetized when kept close to magnet? Why two pins attracted by bar magnet maintain distance between their ends? Why magnet do not have ,magnetic force in middle?

Answers

The force exerted by a magnet is called The push or pull of magnetism can act at a distance, which means that the magnet does not have to touch an object to exert a force on it. ... In fact, magnetism is the result of a moving electric charge.Explanation:

thanks! i need the brainliest to level up :)

1. Heat causes magnetic bodies to lose their magnetic force. For each material of magnet, there is a Curie temperature, or temperature at which the heat will destroy the polarization of the material, causing it to loses its magnetic properties.

2. In unmagnetized materials the domains are randomly aligned in different directions and cancel each other out. In a magnet, all the domains are oriented in the same direction. In the case of a nail, the domains can be aligned in the same direction causing the nail to become magnetic.

3. because after got attracting they will also got act as magnets since they would also get North and South poles so in the case of same poles they had repulsion.

4. We know that magnetic fields exert forces on moving electrons for example. ... When you are in the middle of the magnet, the metal object is being pulled more or less equally in both directions, and so the result is that the object doesn't really feel a force in either direction, they cancel each other out.

i hope this helps you!! <3

If a train (travelling from Albuquerque to Atlanta) is moving 33.9 meters per second when it accelerates at -2.02 m/s^2 for 1.01 seconds, what is the final velocity

Answers

Answer:

The final velocity is 31.86 m/s.

Explanation:

The final velocity can be found using the following equation:

[tex] V_{f} = V_{0} + at [/tex]

Where:

[tex]V_{f}[/tex] is the final velocity =?

[tex]V_{0}[/tex] is the initial velocity = 33.9 m/s

a is the acceleration = -2.02 m/s²

t is the time = 1.01 s

[tex] V_{f} = V_{0} + at = 33.9 m/s + (-2.02 m/s^{2})*1.01 s = 31.86 m/s [/tex]

Therefore, the final velocity is 31.86 m/s.

I hope it helps you!

Question 8 of 10

Which term refers to a variable that a scientist adjusts during an experiment?

A. Dependent variable

B. Manipulated variable

C. Responding variable

D. Empirical variable

Answers

Answer:

B. Manipulated Variable

Answer:responding variable

Explanation:

Apex users

Which of the following is not an essential feature of scientific explanations? a. They must be subject to testing. b. They strictly pertain to the physical world. c. Their validity is judged based on objective observations. d. Once supported by observation, they can be viewed as a fact

Answers

Answer:b

Explanation:

The correct option is b.

The following are the essential feature of the scientific explanations:

It should be subjected to the testing. The validity should be judged depend upon the objective observations. Once the observation is supported afterwards it should be viewed as fact.

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A train travels a 400-km route and makes five stops in seven hours. Which equation is used to calculate the train’s average speed?


A.
Average speed = Sum of instantaneous speeds


B.
Average speed = Total distance x Total time


C.
Average speed = Total distance + Total time


D.
Average speed = Total distance ÷ Total time

Answers

The awnser is d. This is because say they where going 70 mph then it would take them 7 hours to go 490 miles.

As Sam comes to a stop on his bike, he slows from 9.00m/s to 0.00m/s in 5.00 seconds. Find the average acceleration of Sam on his bike. Hint: It will be a negative number.

Answers

Explanation:

Acceleration is change in velocity over time.

a = (v − v₀) / t

a = (0.00 m/s − 9.00 m/s) / 5.00 s

a = -1.80 m/s²

2. A car is moving south. It is getting faster. In which direction is the acceleration?
North
South
hy
Up
Down

Answers

South it is the same direction the car is already moving

action and reaction are equal in magnitude and opposite in direction then why do they not balance each other.​

Answers

Answer:

Newton’s third law of motion states that every action has an equal and opposite reaction. This indicates that forces always act in pairs. Reaction forces are equal and opposite, but they are not balanced forces because they act on different objects so they don’t cancel each other out.

What is the final speed of a lion initially running at a speed of 30 m/s, if it accelerates at
a rate of 3 m/s3 for 5 seconds?

Answers

The final speed of a lion running 30 m/s accelerates at a rate of 3 m/s3 for 5 seconds it’s 3.2

What is the displacement of the elevator between 8 s and 24 s?

Answers

Answer:

The displacement of the elevator between 8 s and 24 s is 6 m.

Explanation:

Given that,

Initial time = 8 s

Final time = 24 s

We know that,

Displacement :

Displacement is the difference between initial position and final position.

In mathematically,

[tex]D=x_{f}-x_{i}[/tex]

We need to calculate the displacement

Using formula of displacement

[tex]D=x_{f}-x_{i}[/tex]

Put the value from graph

[tex]D=15-9[/tex]

[tex]D=6\ m[/tex]

Hence, The displacement of the elevator between 8 s and 24 s is 6 m.

Answer:

See attached.

Explanation:

See attached.

A perfect bouncy ball would continue bouncing the same height forever. But in reality, the ball stops bouncing because energy is "lost" to ...

A.sound energy
B.compression of the ball
C.heat energy absorbed by the ball
D.all answers are true

Answers

Answer:

D. all answers are true

The ball stops bouncing because energy is to sound energy, compression of the ball, and heat energy absorbed by the ball. Thus, the correct option is D, i.e. all of the above.

How energy is lost in a physical state?

The law of conservation of energy, it states that energy can neither be created nor be destroyed in any physical state, although it may get transformed into another form.

The same principle is followed by the bouncing ball. In a closed system, its energy is never lost but it may get transformed into sound energy, heat energy which is absorbed by the ball, and compression which stimulates the process of bouncing the ball.

It is a principle of physical science that due to some characteristics the energy may be transformed into other form.

Therefore, the correct option is D, i.e. all of the above.

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How is data recorded in science?

Answers

Answer:

Yes

Explanation:

You need data to be able to compare experiments and come up with predictions.

It’s recorded with your predictions

*You water some plants with 4 different types of water (salt water, regular water, sugar water and distilled water). After a two-week period, the height of the plants is measured.
1) Independent Variable (IV):
2)Dependent Variable (DV):
3)Constants:
4)Control:

Answers

Answer:

Please find the answer in the explanation

Explanation:

Given that some plants were watered with 4 different types of water (salt water, regular water, sugar water and distilled water). After a two-week period, the height of the plants is measured.

1.) The Independent Variable (IV) are the different types of water

2)Dependent Variable (DV) are the height of the plant. Dependent variable depends on the independent variable.

3)Constant is the unchanged parameter which is the period - the two weeks

4)Control: is the quantity of water used.

Given the information in the velocity vs. time graph,
what is the displacement of the object after 1 second?
m
After 3 seconds?
m
After 5 seconds?

Answers

Answer:

Given the information in the velocity vs. time graph, what is the displacement of the object after 1 second?

3m

After 3 seconds?

9m

After 5 seconds?

15m

Explanation:

The displacement of the object after 1-second would be 3 m, the displacement of the object after 3 seconds would be 9 m, and the displacement of the object after 5 seconds would be 15 sec

What is Velocity?

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object. The unit of velocity is meter/second.

The mathematical relation between displacement and  velocity is given by

Total displacement=Total time×velocity

As given in the problem A velocity-time graph is shown, displaying the behavior

Velocity from the velocity time graph

velocity =3 m/s

As we know  the area under the velocity time curve represents the displacement covered by the object

displacement of the object after 1-second = 3×1

                                                                      = 3 m

displacement of the object after 3-second = 3×3

                                                                      =  9 m

displacement of the object after 5-second = 3×5

                                                                      =  15 m

Thus, The displacement of the object after one second, three seconds, and five seconds would be three meters, nine meters, and fifteen meters, respectively.

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How can you use the position-time graphs for two in-line skaters to determine if and when one in-line skater will pass the other one?

Answers

Explanation:

Position-time graphs measure/express the position of a skater over time relative to the start or finish of the race (depends on how it is used). Note: are the skaters in line vertically or horizontally? Like is one directly behind the other or are they next to each other?

If the two skaters are in line horizontally with each other, then their position will be the same relative to the start or finish of the race. This means if one passes the other one, the position would be different for all times after they pass. On the graph, it would look like one single line at the start (as position is same) which splits into 2 (representing the new difference in position due to 1 passing the other.

If the two skaters are in line vertically, their lines on the graph will appear parallel to each other (assuming they are going same speed) because the position is changing at the same rate, one is just reaching the same point after the other. If the skater behind overtakes the one in front. The lines on the graph will cross and continue either in parallel but with the other line on top to represent the moment where their position is the same right before they pass and after, where the second skater is now in front.

Hope this helped!

on, Inc., publishing as pe
6. Circle the letter before each element that is a gas at room temperature.
a. carbon
c. mercury
d. nitrogen
b. oxygen

Answers

-carbon
-oxygen
-nitrogen

a mineral has a mas of 53grams. Its volume is 12millileters. What is the
density?

Answers

Answer:

636

Explanation:

Answer:

4.45 g/mL

Explanation:

to get density, you simply divide the volume by the mass, so your equation would look like p= 53/12

P being density, which is what you are solving for! Hope this helps!!

If you add 50.0 mL of water to a beaker containing 22 mL of water, then how much water do you have in the beaker?

Answers

Answer:

72 mL

Explanation:

if you add 50.0 mL of water to a beaker containing 22 mL of water, then the total in the beaker is 50.0 + 22 = 72 mL

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