Adhira loves to ride her bike around the neighborhood. She starts riding 1.2 miles at 30° S of E. Then, she rides another 2.0 miles at 20° W of S. Next, she rides 1.6 miles at 30° S of W. And finally, she rides 2.6 miles at 15° W of N. What is her final displacement from her starting point?

Answers

Answer 1

Answer:

D = 1.8677 miles , θ = 24.28º at South of West

Explanation:

This is an exercise in adding vectors, the easiest way to solve them is to decompose the vectors and add each component algebraically. Let's use trigonometry

first displacement. d = 1.2 miles to 30º south of East

     cos ( 360-30) = cos (-30) = x₁ / d

     sin (-30) = y₁ / d

     x₁ = d cos (-30)

     y₁ = d sin (-30)

     x₁ = 1.2 cos (-30) = 1,039 miles

     y₁ = 1.2 sin (-30) = -0.6 miles

second shift. d = 2.0 miles to 20º West of South

       cos (270-20) = x₂ / d

       cos (250) = y₂ / d

       x₂ = 2.0 cos 250 = -0.684 miles

       y₂ = 2.0 sin250 = -1.879 miles

Third displacement. d = 1.6 miles to 30º South of West

       cos (180 + 30) = x₃ / d

       sin (210) = y₃ / d

       x₃ = 1.6 cos 210 = -1.3856 miles

       y₃ = 1.6 sin 210 = -0.8 miles

Fourth displacement. d = 2.6 miles to 15º West of North

       cos (90 + 15) = x₄ / d

       sin (105) = y₄ / d

       x₄ = 2.6 cos 105 = -0.6729 miles

       y₄ = 2.6 sin 105 = 2,511 miles

having all the components we add

x-axis  (West-East direction)

       X = x₁ + x₂ + x₃ + x₄

       X = 1.039 -0.684 - 1.3846 - 0.6729

       X = -1.7025 miles

   

       Y = y₁ + y₂ + y₃ + y₄

       Y = -0.6 -1.879 -0.8 +2.511

       Y = -0.768

The modulus of this displacement is we use the Pythagorean theorem

      D = √ (X² + Y²)

      D = √ (1.7025² + 0.768²)

      D = 1.8677 miles

let's use trigonometry to find the direction

       tan θ = Y / X

       θ = tan⁻¹ Y / x

       θ = tan⁻¹ (0.768 / 1.7025)

       θ = 24.28º

as the two components are negative this angle is in the third quadrant

therefore in cardinal direction form is

         θ = 24.28º at South of West


Related Questions

A turtle is moving at a speed of 1.5 m/s for a time of 120 s. What is the distance the turtle travels?

Answers

Answer:

The answer is 180 m

Explanation:

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

distance = velocity × time

From the question we have

distance = 1.5 × 120

We have the final answer as

180 m

Hope this helps you

Answer:

180 meters

Explanation:

1.5 m/s x 120 s

What is the average amount of time an American spends consuming media in a week?
A. 10 hours
B. 18 hours
C. 22 hours
D. 28 hours
Please collect the best answer from the choices provided
HURRY!!

Answers

Answer: D. 28 hours

Explanation: on edge 2020 :))

The average amount of time an American spends consuming media in a week is 28 hour.

What is Media?

Media is the plural form of medium, which (broadly speaking) describes any channel of communication. This can include anything from printed paper to digital data, and encompasses art, news, educational content and numerous other forms of information.

The average amount of time an American spends consuming media in a week is 28 hour.

To learn more about media refer to the link:

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A student lists a set of materials
1. Wood
2.hydrogen gas
3. Milk
4. Water
Which materials can be medium through which a wave can travel
A. hydrogen gas
B.wood
C. Milk and water
D. wood, hydrogen gas, milk, and water

Answers

Answer:

D. wood, hydrogen gas, milk, and water

Explanation:

Waves will transmit through wood, hydrogen gas, milk and water.

Waves are disturbances that propagates energy usually through a material medium.

Most mechanical waves pass through the given medium. Only electromagnetic waves do not really require a material medium for their propagation. They can be propagated through a vacuum.

Passengers on a carnival ride move at constant speed in a horizontal circle of radius 5.0 m, making a complete circle in 4.0 s. What is the acceleration?​

Answers

Answer:

bonita sisisisiisisisisiisissiissiisiiss

A gas occupies 500mL at a temperature of 20 degrees Celsius. What is the volume at 150 degrees Celsius? ​

Answers

Answer: 3750 ML

Explanation:

Two balls have the same mass. One ball moving along the positive x–axis and the other ball moving along the positive y–axis undergo perfectly inelastic collision. What can you say about the motion of the balls after the collision?

A.
The balls stick and move together.
B.
The balls separate immediately.
C.
The first ball stops while the other ball starts moving.
D.
The two balls travel off in opposite directions, 180° apart.

Answers

Answer:

A. The balls stick and move together.

Explanation:

When a bodies undergo perfectly inelastic collision, the two bodies stick together after the collision and begins to move.

In this collision, kinetic energy is not conserved. For perfectly elastic collision, the two bodies conserve kinetic energy and begin to move apart.

Kinetic energy is not conserved because some of the energy gets converted into other forms of energy.

What is the gravitational acceleration on which a 2-kilogram mass has a weight of 16 Newton's?

Answers

Answer:8 m/s ^2

Explanation:

which is larger 15mm or 0.15cm

Answers

Answer:

1 cm = 10mm

Explanation:

hey there both are equal

A rock falls off a cliff that is 82 m high. How fast is the rock moving when it hits the ground?

Answers

Answer:

40.1m/s

Explanation:

This is a kinematics problem

x = 82m

a = -9.8m/s^2

v(initial) = 0

Find: v(final)

Using kinematics equation:

vf^2 = vi^2 + 2a(delta)x

vf^2 = 0 + 2*(-9.8)*(82)

vf = sqrt(1607.2) = 40.09m/s

The is traveling with a velocity of 40.1m/s when it hits the ground.

Write an equation of the line in slope-intercept form.

Answers

the answer would be y=1/3x+2

Choose all the answers that apply.

Check all the statements that are correct.

An independent variable is the variable which is changed.
The dependent variable is the variable which is observed as a result of the change.
If data can be repeated, it cannot be trusted.
Experiments are usually published to communicate findings to the scientific community.
Disproving a hypothesis means it cannot be tested again.

Answers

Answer: An independent variable is the variable which is changed. Experiments are usually published to communicate findings to the scientific community.

Disproving a hypothesis means it cannot be tested again.

Explanation: i hoped that helped.

1. In your own words explain what happens at a subduction zone. 2. In your own words explain what happens at a mid-ocean ridge. 3. At a subduction zone what causes magma to rise?

Answers

Answer:

1. The subduction zone serves as the meeting point for two tectonic plates.

2. At the Mid- Ocean ridge, decompression melting occurs.

3 What causes the magma to rise is the increase in pressure caused by collection of gases by the magma.

Explanation:

Subduction zone is define as a zone where tectonic plates ( an oceanic plate slides beneath a continental plate) meets and contributes to the rise of magma to the surface in geological sciences.

At the Mid - Oceanic ridge, decompression melting occurs. As mantle ascends beneath the mid-ocean ridge, less and less rock lies above it, so large pressure changes occur, which leads to melting. The melt is less dense than the solid, and rises to the surface to form the oceanic crust.

At the subduction zone the magma that is formed is usually made up of silica rich lava. Thick silica rich magma does not release the gasses very easily so they build up inside the magma chamber. As the gasses collect in the chamber, the pressure rises. It is possible for the pressure to rise so much that the chamber cannot contain the magma and it erupts explosively.

A net force of 20 N is applied to a 5 kg object. What is the acceleration of the object?

Answers

Answer:

[tex]4ms^{-2}[/tex]

Explanation:

F = ma

Rearrange to get acceleration on its own:

a = [tex]\frac{F}{m}[/tex]

Substitute 20 for F and 5 for m:

a = [tex]\frac{20}{5}[/tex] = 4 meters/second/second

A net force of 10.N accelerates an object at 5.0 m/s^2. What net force would be required to accelerate the same object at 1.0 m/s^2?
A.) 1.0 N
B.) 5.0 N
C.) 50. N
D.) 2.0 N

Answers

Answer:

I believe the answer is 2.0

Explanation:

The net force that would be required is 2 N

From the question,

We have that

A net force of 10 N accelerates an object at 5.0 m/s².

To determine the net force that would be required to accelerate the same object at 1.0 m/s²,

First, we will determine the mass of the object

From the Newton's second law of motion, we have that

F = ma

Where F is the force

m is mass

and a is acceleration

From the given information

F = 10N

a = 5.0 m/s²

Putting the above parameters into the formula, we get'

10 = m × 5.0

∴ m = 10 ÷ 5.0

m = 2 kg

∴ The mass of the object is 2kg

Now,

For the net force that would be required to accelerate the same object at 1.0 m/s²,

Using the same formula

F= ma

Here,

a = 1.0 m/s²

and m = 2 kg

∴ F = 2 × 1

F = 2 N

Hence, the net force that would be required is 2 N

Learn more here: https://brainly.com/question/19060916

A car increases velocity from 30 m/s to 60 m/s in 4 seconds. Calculate the average acceleration of the car over this time.
0.3 m/s2
7.5 m/s2
0.6 m/s2
4.8 m/s2

Answers

Answer:

B.7.5m/s2

Explanation:

average acceleration=change invelocity/time taken

a=(60-30)/4

=7.5m/s2

The average acceleration of the car 7.5 m/s²

The parameters given in the question are;

initial velocity= 30 m/s

final velocity= 60 m/s

time= 4 seconds

The formula that can be used to calculate the average acceleration is

= final velocity-initial velocity/time

= 60-30/2

= 30/2

= 7.5

Hence the average acceleration is 7.5 m/s²

Please see the link below for more information

https://brainly.com/question/16569949?referrer=searchResults

how is force spread over long and short durations of time?

Answers

I think you're having trouble with it only because of how you're trying to look at it.

Don't try to imagine "spreading force" over time. Just think about how long the force lasts !

Like . . .

If you push your doll stroller for 5 seconds, you'll get it up to a certain speed.

Next time, if you push it again with the same force, but you keep pushing for TEN seconds, you'll get it up to a faster speed.

Technically:

(force • time) = impulse.

You gave it more impulse the second time, so it got more momentum from you.

Dr. Aloysius found four homogeneous mixtures, but he thinks that only three are alloys. He tests each one and determines their elemental compositions. Which of the following is not a possible alloy?

A. carbon and boron
B. iron an nickel
C. aluminum and magnesium
D. iron, carbon, and nickel

Answers

Answer:

A. carbon and boron

Explanation:

Carbon and boron is not an alloy.

An allow forms between metals and metals using their huge electron could.

Carbon is a non-metal, boron is a also a non-metal

Two non-metals combining together does not make an alloy.

Iron, nickel, aluminum  are all metals.

Answer:

carbon and boron

Explanation:

carbon and boron

In lab you submerge 100 g of iron nails at 40 0C in 100 g of water at 20 0 C. Specific heat of iron is 0.12 cal/g∙0C. Equate the heat gained by water to the heat lost by nails and show that the final temperature of water becomes 22.1 0C.

Answers

Let T be the final temperature of water and nails (iron).

Given that the initial temperature of 100 g nails, [tex]T_{1F}=40^{\circ}C[/tex].

Specific heat of the iron, [tex]C_F=0.12 cal/g^{\circ}C[/tex].

So, the heat lost by nails [tex]= mC_F(T_{1F}-T}[/tex]

[tex]=100\times 0.12 \times (40-T)\cdots(i)[/tex]

The initial temperature of 100 g water, [tex]T_{1w}=20^{\circ}C.[/tex]

Specific heat of water, [tex]C_w=1 cal/g^{\circ}C[/tex]

So, the heat gained by water [tex]= mC_w(T-T_{1w}}[/tex]

[tex]=100\times 1 \times (T-20)\cdots(ii)[/tex]

As the exergy is conserved, so

the heat lost by the nails = the heat gained by the water

From equation (i) and (ii), we have

[tex]100\times 0.12 \times (40-T)=100(T-20)[/tex]

[tex]\Rightarrow 0.12(40-T)=T-20[/tex]

[tex]\Rightarrow 0.12\times 40 -120T=T-20[/tex]

[tex]\Rightarrow 0.12T+T=4.8+20[/tex]

[tex]\Rightarrow 1.12T=24.8[/tex]

[tex]\Rightarrow T=24.8/1.12= 22.1^{\circ}C[/tex]

Hence, the final temperature of both, iron nails as well as water, become [tex]22.1^{\circ}C[/tex].

which hygiene step would best help prevent the flu

Answers

Answer:

taking a shower brushing your teeth and washing your hands

Explanation:

Answer:

D. Washing your hands regularly

Explanation:

Write one example situation of Newton's Third Law involving mass that are the same.

Answers

Answer:

Examples of Newton's third law of motion are ubiquitous in everyday life. For example, when you jump, your legs apply a force to the ground, and the ground applies and equal and opposite reaction force that propels you into the air. Engineers apply Newton's third law when designing rockets and other projectile devices.


Strontium, Sr, will
valence electrons when forming an ionic bond.
O lose 1
Olose 3
Olose 2
O gain 1

Answers

Answer:

lose 2

Explanation:

Sr is an alkali metal which forms 2+ ion.

the person is not able to see the far lying object clearly. which type of lens will the doctor prescribe him give reason?

Answers

Answer:

correction of farsightedness uses a converging lenses that compensates for the under convergence by the eye. the converging lens produces an image farther from the eye than the object so that farsighted can see it clearly.

in the movie "gravity" - Why did the escape pod get stuck and pulled back?

Answers

Answer:

because nono gravity

Explanation:

no gravity

Bc there no gravity so thtas why it won’t

You are twice as likely to become good friends with the person who is in the dorm room next to you than the person two doors down. This is due to:

A. Proximity.
B. Common Interests.
C. Shared Values.
D. Social Background​

Answers

I think A. Proximity
Since the person is closer, you get to see them more often
The correct answer is A

A student is given an investigation of the human body. The student is to predict how new cells are created. According to cell theory, which prediction is correct?

A.Cells grow and develop, but are never replaced.

B. New cells are created from pre-existing cells in the human body.

C. New cells are created but quickly die during cell growth.

D. Humans are born with all the cells they will ever need.

Answers

Answer:

B. New cells are created from pre-existing cells in the human body.

Explanation:

According to the cell theory, the correct assumption from the student's investigation is that "new cells are created from pre-existing cells in the human body".

One of the postulates of the cell theory is that all cells originated from pre-existing cells. Also, a cell is the fundamental unit of life.

So, the student is correct to say that new cells are created from pre-existing cells in the human body.

Rate at which wave travels or propagates

Answers

Answer:

v =fλ v = f λ where v

Explanation:


If the Sun has 28 times more gravity than Earth,
what is your weight on the Sun?

Answers

i myself weigh 111 pounds.
if the sun makes u weight 28 times more, then
111 x 28 = 3108

If someone have weight that is force due to gravity is X than on the sun it will become 28 X.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Mass of body is constant on any place in the universe and weight changes with acceleration due to gravity so, at sun weight will be 28 X.

If someone have weight that is force due to gravity is X than on the sun it will become 28 X.

To learn more about force refer to the link:

brainly.com/question/13191643

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You are taking an image of a patient who is in extreme discomfort while participating in the CT scanning process. Which of the following qualities must you exhibit to obtain a clear and accurate image? O communication skills O interpersonal skills o detail oriented physical endurance​

Answers

Answer:

Interpersonal skills

Explanation:

Answer:

The right answer is interpersonal skills

Explanation:

give the other person brainliest they deserve it

Two identical cars are driving along the motorway. Car A is travelling at 50 km/h and Car B is travelling at 80km/h. Which car has the most drag acting on it?

Answers

Answer:

i think it is car B because  the greater the speed, the greater the drag force acting on the vehicle

Explanation:

Question 2 (2 points)
If an atom was the size of a sprinkle, about how thick would a strand of hair be?

Answers

Answer:

like a stran of yarn

Explanation:

because if shhsjsjsjwjwjwkqkq

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