An athlete runs 9km due east, then 18km north and finally 5km west. What is the total distance run? What is the resulting displacement of the hiker from the starting point?

Answers

Answer 1

Answer:

Distance: 32 km

Displacement: 18 km

Explanation:

Distance is the total amount travelled. Displacement on the other hand is how far away an object is from its starting point.

Distance is a scalar quantity meaning it only has magnitude. Displacement is a vector quantity meaning it has magnitude and direction.

Distance is represented by "x" while displacement is represented as "Δx".

Note that "Δ" is the Greek letter "delta" which is used to represent a change in something.

Let's start by finding the distance.

Since distance is the total amount travelled, we can just add all of the values.

9km + 18km + 5km = 32 km

Then, we can find the displacement.

North and East are positive while South and West are negative.

If the athlete ran 9km East and 5km West, their displacement would be:

9km - 5km = 4km East

Now, we can set up a triangle to determine the displacement from the starting point.

18km North would be the longer leg, 4km East would be the shorter leg, and the displacement would be the hypotenuse.

Using Pythagorean's Theorem we find that:

[tex]a^2+b^2=c^2\\4^2+18^2=c^2\\16+324=c^2\\340=c^2\\c\approx18[/tex]

Note that "a" and "b" represent the legs of the triangle while "c" represents the hypotenuse of the triangle.

The displacement is approximately 18m.


Related Questions

lookup the composition for air. what is the percentage of nitrogen and oxygen present in the air we breathe​

Answers

78 percent nitrogen and 21 percent oxygen

The amount of electric energy consumed by a 60 watt lightbulb for 1 minute could lift a 10 newton object to a maximum vertical height of

Answers

Answer: physics are fake

Explanation:

A common brick is about 1.8 times denser than water. what is the apparent weight of a 0.20 m3 block of bricks under water?

Answers

Answer:

Pressure of .2 m^3 of bricks:

Pb = ρ g H = 1.8 ρw * 9.80 m/s^2 * .20 m = 1800  * 9.8 * .2 = 3530 Pascals

ρb = 1.8 ρw = 1.8    since the density of bricks is 1.8 that of water

Pw = 1 * 9.8 * 1000 * .2 = 1960 Pascals

W = P * A   pressure * Area = Force

Pnet = 1570 Pascals - pressure due to bricks under water

F = 1570 N/m^2 * .2m^2 = 63 N     force on pile of bricks

I need help with this ASAP!!

Answers

Answer:

C

Explanation:

High pitch due to high frequency b/c of doppler effect. The sound waves in front of the vehicle are being squashed together by the moving ambulance. This causes more vibrations to reach your ear per second.

What are the potential advantages and disadvantages of a major shift from the hard or traditional path of energy development to the soft or visionary path

Answers

Answer:    Advantages of following the soft path, the argument here is alternative sources of power such as hydropower, geothermal energy , wind energy , and photovoltaic cells must be developed. This provides a alternative source to remain in a healthy environment and also function as the society we currently live in using the hard path.  Disadvantages of following the hard path result with future generations fearing over the irreversible damage of climate change and the damage done to our atmosphere. The hard path argue that we should continue to operate in the future as we have in the past, except more efficiently. This is close to impossible and will only continue the negative effects the hard path( the path we have been following) results in. The major shift determines the outcome of this world, the futures worries or reliefs and ultimately the survival of humans.

A bullet with a mass of 0.04-kg is traveling horizontally at 1400 m/s when it strikes a stationary target that is balanced on the top of a wooden post. The target has a mass of 9.96-kg. The target, with the bullet embedded, is knocked off of the post and moves to the right. How fast is the target with the bullet lodged in it traveling?

Answers

The speed of the target with the bullet lodged in it is 5.6 m/s.

What is speed?

This is the rate of change of distance.

To calculate the speed of the target and the bullet lodged, we use the formula below.

Formula:

V = mu/(m+M)............. Equation 1

Where:

V = Speed of the target and the bulletm = mass of the bulletM = mass of the targetu = Initial speed of the target

From the question,

Given:

m = 0.04 kgu = 1400 m/sM = 9.96 kg

Substitute these values into equation 1

V = (0.04×1400)/(0.04+9.96)V = 56/10V = 5.6 m/s

Hence, the speed of the target with the bullet lodged in it is 5.6 m/s.

Learn more about speed here: https://brainly.com/question/6504879

#SPJ1

A ray gets successively reflected from two mirrors inclined at an angle of 40º. If the angle of incidence on the first mirrors is 60º, then the net deviation of this ray is -

a)40º
b)280º
c)80º
d)160º

Answers

The answer of the net deviation rah is 80 degrees 40+40=80.

A massless string connects a 10.00 kg mass to a 13.00 kg cart which is resting on a frictionless horizontal surface. The mass hangs over a frictionless pulley. When the mass is released, the cart accelerates to the right. What is the cart’s acceleration? The cart's acceleration is m/s^2. (round to one decimal place)

Answers

The cart's acceleration to the right after the mass is released  is determined as 7.54 m/s².

Acceleration of the cart

The acceleration of the cart is determined from the net force acting on the mass-cart system.

Upward force = Downward force

ma = mg

13a = 10(9.8)

13a = 98

a = 98/13

a = 7.54 m/s²

Thus, the cart's acceleration to the right after the mass is released  is determined as 7.54 m/s².

Learn more about acceleration here: https://brainly.com/question/14344386

#SPJ1

What is the acceleration of a 100 kg object pushed by Beau with a force of 500 N? Write out your equation.

Answers

Answer:

ProvideD :

Mass ( m ) = 100 kg , Force ( F ) = 500 N

To FinD :

Acceleration ( a )

SolutioN :

We know , F = ma so put up the values and then solve for a

[tex] \longrightarrow \tt \: 500 = 100a[/tex]

[tex] \longrightarrow \tt \: \frac{500}{100} = a[/tex]

[tex] \longrightarrow \tt \: a = \: \boxed { \tt{5 \: ms ^{ - 2} }}[/tex]

The acceleration produced is 5 ms ^ -2 .

--------------- HappY LearninG <3 --------------

Trent builds a model electric motor. when he connects a battery to the motor, the motor spins through a half rotation and stops. which is the most likely solution to the problem? replacing the battery, because it is not providing current installing new brushes, because they are not making a good connection checking the commutator, because the current is not reversing adding more wire coils in the armature, because the electromagnet is too weak

Answers

The most likely solution to the motor spinning a half rotation and stopping is checking the commutator, because the current is not reversing.

What are electric motors?

Electric motors are devices that convert electrical energy into mechanical energy used in driving other devices.

Electric motors require batteries to work or A.C. currents to work.

The most likely solution to the motor spinning a half rotation and stopping is checking the commutator, because the current is not reversing.

Learn more about electric motors at: https://brainly.com/question/479333

#SPJ4

Answer:

c

Explanation:

edge 2022

Equator
01
Equator
A
B
The figure above shows the Earth at two different positions in its orbit around the Sun. If Texas is in the Northern Hemisphere,
which is the top half of the Earth, which position corresponds to summer in Texas?
A. position B
B. neither position A nor position B
C. position A
D. both position A and position B

Answers

Answer:

A) position B

As the earth rotates about its axis (shown tilted), the northern half will receive more sunlight than the southern half which is in winter

The shortest distance between the initial position and the final position of moving body is called .............

Answers

The Answer Is Displacement  

An electrolyte is . . . . .
question 2 options:


a compound which produces ions dissolved in a solution that do not conduct electric current


a compound which produces ions dissolved in a solution that conduct electric current


only positive ions in solution


a substance which is not important to the human body

Answers

Answer:

b) a compound which produces ions dissolved in a solution that conduct electricity.

NaCl is an electrolyte.

what is the reading of this vernier scale​

Answers

Answer:

perturbateur ( le temps, le lieu, les personnages[description], la victime, l'enqueteur )

les peripeties

le denouement

calculate the depth of water of density 1020 kg/m³ where the pressure is 3.0 x 10⁶ Pa​

Answers

Answer:

Here is your answer

Explanation:

Given:

Given:Density of sea water (d) = 1020 kgm^{3}3

Given:Density of sea water (d) = 1020 kgm^{3}3Acceleration due to gravity (g) = 10 ms^{–2}–2

Given:Density of sea water (d) = 1020 kgm^{3}3Acceleration due to gravity (g) = 10 ms^{–2}–2To find:

Given:Density of sea water (d) = 1020 kgm^{3}3Acceleration due to gravity (g) = 10 ms^{–2}–2To find:Depth of sea.

Given:Density of sea water (d) = 1020 kgm^{3}3Acceleration due to gravity (g) = 10 ms^{–2}–2To find:Depth of sea.Solution:

Given:Density of sea water (d) = 1020 kgm^{3}3Acceleration due to gravity (g) = 10 ms^{–2}–2To find:Depth of sea.Solution:In order to find depth of sea water first we need to find pressure of sea water.

Given:Density of sea water (d) = 1020 kgm^{3}3Acceleration due to gravity (g) = 10 ms^{–2}–2To find:Depth of sea.Solution:In order to find depth of sea water first we need to find pressure of sea water.Pressure of sea water (P)

Given:Density of sea water (d) = 1020 kgm^{3}3Acceleration due to gravity (g) = 10 ms^{–2}–2To find:Depth of sea.Solution:In order to find depth of sea water first we need to find pressure of sea water.Pressure of sea water (P)= 1.02 × 10^{7}7

Given:Density of sea water (d) = 1020 kgm^{3}3Acceleration due to gravity (g) = 10 ms^{–2}–2To find:Depth of sea.Solution:In order to find depth of sea water first we need to find pressure of sea water.Pressure of sea water (P)= 1.02 × 10^{7}7= 102,00,000 Nm^{–2}–2

Given:Density of sea water (d) = 1020 kgm^{3}3Acceleration due to gravity (g) = 10 ms^{–2}–2To find:Depth of sea.Solution:In order to find depth of sea water first we need to find pressure of sea water.Pressure of sea water (P)= 1.02 × 10^{7}7= 102,00,000 Nm^{–2}–2We know that,

Given:Density of sea water (d) = 1020 kgm^{3}3Acceleration due to gravity (g) = 10 ms^{–2}–2To find:Depth of sea.Solution:In order to find depth of sea water first we need to find pressure of sea water.Pressure of sea water (P)= 1.02 × 10^{7}7= 102,00,000 Nm^{–2}–2We know that,P = h × d × g

Given:Density of sea water (d) = 1020 kgm^{3}3Acceleration due to gravity (g) = 10 ms^{–2}–2To find:Depth of sea.Solution:In order to find depth of sea water first we need to find pressure of sea water.Pressure of sea water (P)= 1.02 × 10^{7}7= 102,00,000 Nm^{–2}–2We know that,P = h × d × g\therefore∴ h = P/dg

Given:Density of sea water (d) = 1020 kgm^{3}3Acceleration due to gravity (g) = 10 ms^{–2}–2To find:Depth of sea.Solution:In order to find depth of sea water first we need to find pressure of sea water.Pressure of sea water (P)= 1.02 × 10^{7}7= 102,00,000 Nm^{–2}–2We know that,P = h × d × g\therefore∴ h = P/dg\begin{gathered} = \frac{10200000}{1020 \times 10} \\ \\ = 1000 \: m \\ \\ = 1 \: km.\end{gathered}=1020×1010200000=1000m=1km.

Given:Density of sea water (d) = 1020 kgm^{3}3Acceleration due to gravity (g) = 10 ms^{–2}–2To find:Depth of sea.Solution:In order to find depth of sea water first we need to find pressure of sea water.Pressure of sea water (P)= 1.02 × 10^{7}7= 102,00,000 Nm^{–2}–2We know that,P = h × d × g\therefore∴ h = P/dg\begin{gathered} = \frac{10200000}{1020 \times 10} \\ \\ = 1000 \: m \\ \\ = 1 \: km.\end{gathered}=1020×1010200000=1000m=1km.Hence, depth of sea is 1 km

what will be the change in momentum caused by a net force of 240 N acting on an object for 3 seconds ?

Answers

Given the value of force applied in the given duration of time, the impulse or change in momentum caused by the net force is 720kgm/s.

What is Impulse?

An impulse is simply a concept that involves the change in the momentum of an object when force is introduced for a period of time.

It is expressed as;

ΔP or Change in Momentum = F × t

Where F is force applied and t is the elapsed time.

Given the data in the question;

Force applied F = 240N = 240kgm/s²Time elapsed t = 3sImpulse ΔP = ?

ΔP = F × t

ΔP = 240kgm/s² × 3s

ΔP = 720kgm/s

Given the value of force applied in the given duration of time, the impulse or change in momentum caused by the net force is 720kgm/s.

Learn more about Impulse here: brainly.com/question/13906369

#SPJ1

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Answer:

True

Explanation:

The spheres of the Earth are : Biosphere, Hydrosphere, Geosphere, and AtmosphereWater travels through liquid form only (known as water itself) through 3 spheresIt travels through the atmosphere in gas form (vapor) or liquid form itself as rain

Answer:

True

Explanation:

The four spheres of atmosphere are

Hydrosphere BiosphereGeosphereAtmosphere

Water begins its journey from hydrosphere then goes through atmosphere, biosphere and geosphere respectively

When a planet temporarily moves westward in the sky over the course of several weeks or months (instead of eastward, as it typically does), we call it: Group of answer choices precession circumpolar motion retrograde motion ecliptic motion

Answers

I think you might be referring to this full question:

When a planet temporarily moves westward in the sky over the course of several weeks or months (instead of eastward, as it typically does), we call it:

precessioncircumpolar motionecliptic motionretrograde motionrude

When a planet temporarily moves westward in the sky over the course of several weeks or months we call it retrograde motion.

What is retrograde motion?

Retrograde motion is a movement that occurs when a planet rotates at a slower speed compared to another celestial body.

This type of slow movement (retrograde motion) gives us the illusion that the planet is retrograding regarding the other celestial body.

In conclusion, when a planet temporarily moves westward in the sky we call it retrograde motion.

Learn more about retrograde motion here:

https://brainly.com/question/22921263

#SPJ4

50 points physics question (multiple choice) Will give brainliest!

Answers

There are two systems that contain only the fundamental frequency and they are the systems C and D.

What is fundamental frequency?

The term fundamental frequency refers to the lowest frequency of a vibrating body. It does not include the overtones or the harmonics.

From the image shown in the question, there are two systems that contain only the fundamental frequency and they are the systems C and D.

Learn more about fundamental frequency:https://brainly.com/question/9424813

#SPJ1

2.One car with a mass of 400kg is traveling east at 20m/s and collides with a car of mass 800kg traveling west at 15m/s. Assuming the collision is completely inellastic, what is velocity of the first car after the collision?​

Answers

Answer:

3.33 m/s west

Explanation:

East is the positive direction.

400kg*20m/s + 800kg*-15m/s =(400kg+800kg)*v

-4000kgm/s=1200kg*v

v=-3.33

400kg*20m/s + 800kg*-15m/s =(400kg+800kg)*v. -4000kgm/s=1200kg*v and v=-3.33.

What is Collision?

Collision, which is also known as impact, is the abrupt, powerful coming together in close proximity of two bodies, such as two pool cues, a golf club and a ball, a hammer and a nail, two railroad cars when linked, or a falling object and a floor.

Two factors—the force and the amount of time the items are in contact—affect the outcome of impact in addition to the characteristics of the two objects' materials.

A hard steel ball dropped on a steel plate will typically rebound to almost the same location from whence it was dropped, while a putty or lead ball would not.

Therefore, 400kg*20m/s + 800kg*-15m/s =(400kg+800kg)*v. -4000kgm/s=1200kg*v and v=-3.33.

To learn more about collision, refer to the link:

https://brainly.com/question/13138178

#SPJ2

explain the causes of atmospheric pressure and why it changes with altitude?​

Answers

Answer:

As altitude increases, the amount of gas molecules in the air decreases—the air becomes less dense than air nearer to sea level. This is what meteorologists and mountaineers mean by "thin air." Thin air exerts less pressure than air at a lower altitude

Describe the electric and magnetic fields of an electromagnetic wave.

Answers

The electric field and magnetic field of an electromagnetic wave are perpendicular (at right angles) to each other. They are also perpendicular to the direction of the EM wave. EM waves travel with a constant velocity of 3.00 x 108 ms-1 in vacuum.

what parameters affects the inductance of a coil​

Answers

Answer:

Number of Wire Turns in the Coil.

Explanation:

The greater the number of turns of wire in the coil, the greater the inductance. Fewer turns of wire in the coil results in lesser inductance. More coils of wires indicate a greater amount of magnetic field force for a given amount of coil current.

a car, moving at 30 m/s toward you, blows its horn at 500 Hz. if you are standing stil what frequency do you hear?

Answers

Answer:

If the engine is making sound, then the passer (like you) will be dead

ANYWAYS

but if it was silent you can hear it softly because since speed of light (the car) is lower  than the speed of sound ( horn )

Explanation:

since the car is going in Miles per second if you convert it to Speed of sound that is what is equals to

c=√K^s / ρ

Fill in the blanks in the following paragraph to correctly identify phenomena that help provide evidence for the particle nature of light

Answers

An electron absorbs energy and emits electromagnetic radiation based on its transition.

What is an Electron?

This is defined as a sub-atomic particle which has a negative charge. It's involved in a chemical reaction which results in the formation of new substances.

Classical physics predicted that at a high enough temperature, ultraviolet light would be emitted. instead white light was emitted resulting in the ultraviolet radiation.

Read more about Electron here https://brainly.com/question/13998346

#SPJ1

Mr b Kayla and gabby are working out to get fit fr the summer Mr b is using a barbell that weighs 50kg and lifts it a distance of 4 meters. Kayla is using a barbell that weighs 45kg and lifts it a distance of 7 meters and gaby is using a barbell that weighs 47kg and lifts it a distance of 8m who is working the hardest

Answers

This question involves the concepts of potential energy and work.

"Mr. Gabby" is working the hardest.

Who is working the hardest?

In this case, the work done by each person is equal to the potential energy produced by raising the barbell.

[tex]W = P.E=mgh[/tex]

where,

W = work done m = mass of barbellg = acceleration due to gravity = 9.81 m/s²h = height raisedFor Mr. bm = 50 kgh = 4 m

Therefore,

[tex]W=(50\ kg)(9.81\ m/s^2)(4\ m)\\W=1962\ J[/tex]

For Mr. Kaylam = 45 kgh = 7 m

Therefore,

[tex]W=(45\ kg)(9.81\ m/s^2)(7\ m)\\W=3090.15\ J[/tex]

For Mr. Gabbym = 47 kgh = 8 m

Therefore,

[tex]W=(47\ kg)(9.81\ m/s^2)(8\ m)\\W=3688.56\ J[/tex]

It is clear that most work is done by Mr. Gabby.

Learn more about potential energy here:

https://brainly.com/question/24284560

#SPJ1

What are created when atoms join
together?
A. new elements
B. unstable conditions
C. molecules

Answers

Answer:

molecules

Explanation:

Molecules will be formed if atoms join together.

Answer: Molecules

Detailed Explanation;

Molecules are created when atoms join together.

Example :- H2O (Water), O3 (Ozone)

On a space mission, the gravitational environment can negatively affect the bone density of astronauts. Which accommodation will most likely protect the bone health of the crew on a space mission?.

Answers

Answer:

a lot of oxygen with spacesuits

Why do the north and south poles of these magnets attract each other?

Answers

Answer:

here

Explanation:

Unlike-poles attract: When a north pole and south pole point together, the arrows point in the SAME direction so the field lines can join up and the magnets pull together (attract).

how do you get this equation?
please help

Answers

Answer:

It's a kinematic equation.

Explanation:

x displacement = (velocity_final * time) - (0.5 * acceleration * time * time)

You should be given a value, context(word problem), or diagram.

If you're deriving for a term just isolate the term.

If you're asking why the -(0.5 * acceleration * time * time) is negative instead of positive, would need context.

Other Questions
You have purchased a new LED monitor for your computer. On the back of the monitor, you see the following port (pictured below). Which type of cable should you use to connect the monitor to your computer Which are differences of perfect cubes? select two options. 9a3- 27 125a12 - 72 216a6 - 27y3 8a15 - 27 225a3 - 216 If an interviewer asks you to describe a weakness, you should _____. [Then mother noticed that two children who are watching the game are sick and coughing.She told her son to keep distance from those children to avoid getting sick] 1.Observe illustration no.1 and read the caption.Why did the mother ask her son to avoid the kid with cough? 2.Observe illustration no.2 and read the caption.Why did the mother let her son play with the kid with asthma?please don't report this A certain compound is made up of one carbon (C) atom, two chloride (Cl) atoms and one oxygen (o) atom what is the chemical formula of this compound Match the following. 1. the breasts and arms of silver Alexander the Great 2. the little horn Antiochus Epiphanes 3. the head of gold Nebuchadnezzar 4. the large horn Media-Persia 5. the fourth beast Roman Empire Which concern would a humanitarian activist in the early 1990s most likely have raised about gatt? a. gatt could draw the united states into another foreign war, harming soldiers and civilians alike. b. gatt makes it easy for companies to build overseas sweatshops that exploit workers to make low-priced goods. c. gatt makes it easy for companies to ship jobs overseas, which hurts the american economy. o d. gatt controls too much of the world's oil supply, so to avoid humanitarian crises, america needs domestic oil sources. What is the potential difference if the current of 2A flow in 5sec in wire,total energy in wire to flow the charge is 500J.please its urgent. Answer asapppp plssss!!! consider the sample sds for hydrochloric acid and answer the questions, what type of environment should the hydrochloric acid be stored in? check all that apply 1.)in a beaker 2.)in a cool, well-ventilated area 3.)in a flask 4.)in a tightly closed container Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie? two-sevenths two-fifths four-sevenths four-fifths Will Cape Town Be The World's First City To Run Out Of water what is the man idea conveyed in paragraph 7 and 8 what are some alternatives to using iron Which function rule represents the best line of fit for the data in the plot? how to do a reflection on the line y=-x What fraction is 380 lb of 400 lb? The pirate captain ordered his men to digFor treasure. Six men dug, one at a time, imqual shifts for a total of three and a halfhours. How long was each man's shift?Asap help What would the charge on KAt be? 3. In a short paragraph, describe one of the following foreign policy tools:Humanitarian aid.TreatiesSanctionsYour response should explain why this tool is used, along with at least one of its advantagesand one of its disadvantages. (4 points) I dont understand please you can helpp I give crown Pleaseeeee about 1 2 of the population has red hair if 800 people were ramdomly sampled about how many of them would you expect to be read heads