A car travels along a straight road, heading east for 1 h, then traveling for 30 min on another road that leads northeast. If the car has maintained a constant speed of 52 mi/h, how far is it from its starting position

Answers

Answer 1

Answer:

The car is 72.75 miles away from its starting position.

Explanation:

First, remember the relation:

distance = time*speed.

Also, the distance between two points (a, b) and (c, d) is:

D = √( (a - c)^2 + (b - d)^2)

For this problem, we can assume:

The North is equivalent to the y-axis, and the East is equivalent to the x-axis.

We also assume that the initial position of the car is (0mi, 0mi)

Now the car moves to the East at a speed of 52mi/h for one hour, then the new position of the car is:

(0mi, 0mi) + (52mi/h*1h, 0mi) = (52mi, 0mi)

Now the car travels 30 mins (or 0.5 hours) to the northeast at a speed of 52mi/h.

We can assume that it moves at an exact angle of 45° from East to North, then the components of the speed can be written as:

Sx = speed in the x-axis = 52mi/h*cos(45°) = 36.77 mi/h

Sy = speed in the y-axis = 52mi/h*sin(45°) =  36.77 mi/h

Then the new position of the car is:

(52mi, 0mi) + (36.77 mi/h*0.5h, 36.77 mi/h*0.5h) = (70.385 mi, 18.385 mi)

Now we know the final position of the car.

The distance between the final position (70.385 mi, 18.385 mi) and the initial position (0mi, 0mi) is:

D = √( (70.385 mi - 0mi)^2 + (18.385 mi - 0mi)^2) = 72.75 mi

The car is 72.75 miles away from its starting position.


Related Questions

Three rocks with masses of 1 kg, 5 kg, and 10 kg fall from the same height.
Which of the following describes the inertia of these rocks?

Answers

Answer:
The 10 kg rock has more inertia than the other two rocks.


Explanation
the 10 kg should be right, have a good day :)


The time of flight for an object thrown from the rooftop of a tall building is 6.2 seconds. In terms of the initial launch velocity v,
and the angle of launch o, what equation gives you the maximum displacement of the object?

Answers

Answer:

B . x= v*cos ∅* 6.2

Explanation:

Time of flight of a projectile motion is the time taken by the object to reach the surface from when it was projected.

In this case ;

Initial launch velocity = v

Angle of launch is =∅

Time of flight = 6.2 seconds

The formula for time of flight is;

T= 2*v*sin∅  / g

At time t the displacement components for x and y are;

x= v* t * cos ∅  ----------------i

and

y =u* t * sin ∅ - 1/2 g*t² ------------ii

Taking equation i for displacement of the object in the x component

x = v* t* cos ∅

x = v * cos ∅ * 6.2

x = 6.2* v * cos ∅

A car engine has power than a horse because a car engine does the same amount of work in time. Yasmin and Raj each had 10 boxes of equal weight to stack next to each other on the same shelf, at the same height and in the same arrangement. Yasmin completed the task in 2 minutes, while Raj took 3 minutes to stack his boxes. Raj applied power than Yasmin because his stacking took time to do the same amount of work.

Answers

Answer:

A car engine has more power than a horse because a car engine does the same amount of work in time. Yasmin and Raj each had 10 boxes of equal weight to stack next to each other on the same shelf, at the same height and in the same arrangement. Yasmin completed the task in 2 minutes, while Raj took 3 minutes to stack his boxes. Raj applied less power than Yasmin because his stacking took more time to do the same amount of work.

Explanation:

A car engine has more power than a horse because a car engine does the same amount of work in less time. Raj applied less power than Yasmin because his stacking took more time to do the same amount of work.

What is power?

The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.

Energy divided by time represents the dimension of power. The watt (W), which equates to one joule per second, is the unit of power in the International System of Units (SI).

Another popular unit of measurement is horsepower (hp), which is equivalent to a horse's power; one mechanical horsepower is equal to around 745.7 watts.

Learn more about power here:

https://brainly.com/question/29575208

#SPJ5

Where is the Long Head located?
Outside of the Arm
Inside of the Arm
On the Shoulder

Answers

Answer:

The biceps muscle is located at the front of your upper arm. The muscle has two tendons that attach it to the bones of the scapula bone of the shoulder and one tendon that attaches to the radius bone at the elbow. The tendons are tough strips of tissue that connect muscles to bones and allow us to move our limbs.

Explanation:

Glad i could help pls give brainliest and or thanks

Complete the statement below with all that apply.
Acceleration is

Answers

The answer is B- the slope of a velocity vs. time graph.

A major league pitcher can throw a baseball with a kinetic energy of 150 J. How much work must the pitcher do to the ball to give it that much KE?


A.) 150 J

B.) 0 J

C.) can't tell without knowing the mass of the ball

D.) 75 J

Answers

Answer:

A= 150 J

Explanation:

Kinetic energy is the energy of an object in motion.

The formula for kinetic energy is ;

K.E = 1/2 * m *v²  where m is mass and v is velocity

Work done is equal to change in kinetic energy

W= Δ K.E

Given that K.E = 150 J

Taking that the ball was stationary before it was thrown, this makes its initial kinetic energy to be 0 J so the work done will be

W=  Δ K.E

W= 150 - 0

W= 150 J

A block of wood weighing 30N and of specific gravity 0.75 is ties by a string to the bottom of a tank of water in order to have the block totally immersed.What is the tension of the string?​

Answers

30N is what I think but I’m not 100% sure

which of the following is a subsurface event takes place during the rock cycle
deposition
erosion
weathering
plate tectonics​

Answers

Answer:

The answer is A. Cementing...

Explanation:

hope this helps

Answer:

plate tectonics

Explanation:

brainliest also 100% flvs

What is the mass of solid dissolved per unit volume of liquid called?

Answers

Answer:

I belive the awnser to this question is density.

how much power is requiered to do 100j of work on time of 0.5 seconds​

Answers

Answer:

200 w

Explanation:

p= w/t= 100 j/ 0.5 s= 200 w

Answer:

Answer is 200 W

Explanation:

p= w/t= 100 j/ 0.5 s= 200 w

What is the difference between a waves, amplitude, frequency and wavelength?

Answers

Answer: The amplitude or height of a wave is measured from the peak to the trough

Explanation: The wavelength is measured from peak to peak. Otherwise wavelength is directly related to the frequency of a given wave form

HELP IM IN A EXAM!!!
Which organisms are most closely related?
species A and B
species A and C
species B and C
species C and D

Answers

Answer:

answer is b and c

Explanation:

i got it right

Answer:

its C

Explanation:

A car advertisement claims their car can go from a stopped position to 60 miles per hour in 5 seconds. The advertisement is describing the
car’s

Answers

Answer:

Acceleration

Explanation:

The advertisement is describing the acceleration of the car.

Acceleration is the rate of change of velocity per unit of time. It can be expressed mathematically as;

 Acceleration  = [tex]\frac{v - u}{t}[/tex]  

 v is the final velocity

 u is the initial velocity

 t is the time taken

 Any quantity that specifies the rate of change of velocity of a body within a given time frame is describing its acceleration.

A boy starts from point A and walks 3 meters toward the south, then turns around and walks 7 meters toward the north. What is the boys placement from point A?

Answers

Answer:

-3m+7m =  4m

Explanation:

As he walks south, he is going down 3m (-3m). Then he walks up 7m (+7m).

You subtract the final position from the initial position to get displacement.

7m - 3m = 4m

A student conducts an experiment in which an object travels across a horizontal surface while for 2 s a net force is applied to a 2 kg object that initially travels with a speed of 0.5 m/s. Data collected from the experiment are used to create the graph of the magnitude of the applied force exerted on the object as a function of time is shown. All frictional forces are considered to be negligible. Can the student use the graph and the known data to determine the momentum of the object after the force has been applied?


Yes, because the average force exerted on the object can be used with the time interval of 2 s to determine the change in momentum of the object by using Δp⃗ =F⃗ Δt.


Yes, because the area bound by the best-fit line and the horizontal axis from 0 s to 2 s can be used to determine the change in momentum of the object.


No, because the data is too scattered to determine the average force that is exerted on the object.


No, because the student needs to know the direction that the force is applied to the object because the applied force will be in the same direction as the change in momentum of the object.

Answers

Answer:

  D.  No, because the student needs to know the direction that the force is applied

Explanation:

The change in momentum depends on the direction of the force as well as its magnitude. Since the graph only supplies force magnitude information, it is insufficient to allow the student to calculate the change in momentum.

There are 30 students in Ms. Andrews’ fourth grade class. There are 6 times as many students in the entire fourth grade as there are in Ms. Andrew’s class. Which equation can be used to determine the number of students, n, in the entire fourth grade? *

6 x n = 30
6 + 30 = n
30 x 6 = n
30 ÷ n = 6

Answers

Answer:

30×6=n

Explanation:

30 students in her class× 6 = number of students in the entire 4th grade.

PLEASE HELP ME
When an object is struck and sound is produced, explain the direction of the sound wave.

Answers

Answer:

The sound goes in every direction, except into the two objects that make contact.

Explanation:

The waves need somewhere to go, but can't travel into the two objects that were struck, so therefore the sound explodes forth in every which way and ends up in your ear.

At the time when the object should be struck and the sound should be generated so here the direction should be at each and every direction but does not make any contact.

What is a sound wave?

It is the wave that develop the disturbance pattern which leads into the energy movement that should be traveled via the medium like the air, water, etc. Also, it leads to the vibration like when the phone is ringed or the vocal cords of the person.

hence, At the time when the object should be struck and the sound should be generated so here the direction should be at each and every direction but does not make any contact.

Learn more about waves here: https://brainly.com/question/21849636

The middle-C hammer of a piano hits two strings, producing beats of 1.60 Hz. One of the strings is turned to 250.00 Hz. What frequencies (in Hz) could the other string have? (Answer to the nearest 0.1 Hz.)

Answers

Answer:

248.5Hz or 251.5Hz

Explanation:

Given :

Beat frequency, Fbeat = 1.5 Hz

Frequency of string 1, f1 = 250 Hz

Frequency of string 2, f2 =?

Recall:

Fbeat = |f1 - f2|

1.5 = 250 - f2

f2 = 250 - 1.5

f2 = 248.5 Hz

OR

- Fbeat = |f1 - f2|

- 1.5 = 250 - f2

f2 = 250 + 1.5

f2 = 251.5 Hz

Hence, the two possible frequencies of the other string are 248.5Hz or 251.5Hz

Which of the following is true about myelin?
It inhibits neural communication.
O It cannot be affected by illness.
It is covered by axons.
It's a fatty insulation.
It slows down neuronal operations.

Answers

Answer:

It's a fatty insulation.

Explanation:

"Myelin" is a fatty substance which insulates the axons of the nerve cells. Therefore, it covers the axons. This makes choice A correct and choice C incorrect.

This allows faster neural communication or hastens the transmission of signals between neurons. This makes choice A incorrect and choice E incorrect. It doesn't inhibit neural communication nor does it slow down neuronal operation; rather, it increases both speed.

Myelin can be affected by illness. An example of this is the disease called "Multiple Sclerosis," which targets the myelin sheath.

Thanks + BRAINLIST

Please need correct answer asappp

Answers

(A) Standing waves are created by two identical waves reflecting off each other

(B) a general definition of a wave interference is, when more than on wave meet and interact in the same medium

Hope this helps :)
Standing waves are formed when two waves with identical frequencies, traveling in opposite directions through the same medium meet.

Wave interference is a forming and interaction of one or more waves through the same medium.

How could you increase the kinetic energy of a wagon without increasing it's mass

Answers

Answer:

send the wagon down a higher hill

By increasing height you can do that

which wave lies adjacent to the low frequency portion of the visible spectrum
a. gamma rays
b. infrared
c. x rays
d. ultraviolet rays

Answers

Answer: b. infrared

Explanation:

The visible light with the smaller frequency is associated with the color red.

While the blue is the one with the larger frequency.

Now, as the name says, infrared waves are the ones with a frequency just below the one of the red visible light.

Where the frequency of the red light is something around (4.3*10^14 Hz)

and the frequency of the infrared waves is in the range between (10^12 Hz and 10^14 Hz)

Then the correct option is b, infrared.

Select the correct answer. Which of the following is a category of dance? O A. Group dance OB. Solo dance O C. Partner dance OD. All of the above. NEED HELP PLEASE! Due today!!!!!!!!!!!

Answers

Answer:

all of above I think sorry if I'm not right but I tried

Answer:  d

Explanation:

Urgent Important!!

Many medications have a warning to avoid driving because.
A. they haven't been scientifically tested yet.
B. they have been proven to cause drowsiness.
C. they want to cover all their bases.

Answers

Answer:

B) they have been proven to cause drowsiness

Explanation:

B is the only answer that makes sense, as the other answers do not make sense.  All medications are scientifically tested before they can be used by someone.  Covering their bases would show negligence and is bad.

Hope this helps!

PS, this is biology or medical, not physics.

Two boys, Shrijan having weight 600N and Shrijesh having weight
300N are playing see-saw. If Shrijan is sitting at 2m from fulcrum,
where should Shrijesh sit from fulcrum to balance Shrijan? ​

Answers

Answer:

to be balanced moments should be equal

4m

Explanation:

[tex]fd = fd \\ 600 \times 2 = 300 \times x \\ \frac{600 \times 2}{300} = x \\ 4m[/tex]

Answer:

4m

Explanation:

fd=fd

600×2× x

300

4m ans

DEFINE SIGNIFICANT DIGITS.

Answers

Answer:

Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers.

Explanation:

any of the digits of a number beginning with the digit farthest to the left that is not zero and ending with the last digit farthest to the right that is either not zero or that is a zero but is considered to be exact. — called also significant figure.

please help
1. Describe the difference between an "object" and a "system"
2.Give an example of a system with at least three objects.
3. What is meant by "the energy of the system?"
4. Give an example of energy moving from one object in a system to another object in the system.

Answers

Answer:

A class is a blueprint from which you can create the instance, i.e., objects. An object is the instance of the class, which helps programmers to use variables and methods from inside the class. A class is used to bind data as well as methods together as a single unit. Object acts like a variable of the class.include transport systems; solar systems; telephone systems; the Dewey Decimal System; weapons systems; ecological systems; space systems; etc. Indeed, it seems there is almost no end to the use of the word “system” in today's society.One of the thermodynamic properties of a system is its internal energy, E, which is the sum of the kinetic and potential energies of the particles that form the system. The internal energy of a system can be understood by examining the simplest possible system: an ideal gas.A swinging pirate ship ride at a theme park. Kinetic energy is transferred into gravitational potential energy.

A boat being accelerated by the force of the engine. The boat pushes through the water as chemical energy is transferred into kinetic energy.

Bringing water to the boil in an electric kettle.

While swimming the elementary backstroke your eyes should be looking directly at..

Answers

Answer:

the ceiling

Explanation:

i dont know man but thats what my swimming instructor said, but i havent swam in like 3 years so ..

Question 15 (1 point
[01.03)
Which statement is true going
Oo
Ос
Gravity is the force of attraction between two dojeas with mask and is tecedent on the distance been these objes
Granty is the force that resesto dojects that have opposite charges. It is dependent upon the charges of the objec
Greity is a force that keeps dojects moving in space. The less the objects wegs, the former out in space gauty will pull the
Object
Gravity is the force of resistance to a change in position. The greater the distance been objects, the greater tis force will
Oo

Answers

Explanation:

The true statement about gravity is that it is the force of attraction between two objects with masses and also, based on the distance between these objects.

Gravity is a force of attraction.

The best scientific overview of the force of gravity is given by the Newton's law of universal gravitation which states that "the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them",

So, gravitational force of attraction is dependent on mass and the distance between two bodies.

Un motociclista arranca desde el reposo y mantiene una aceleración constante de 0.14 m/s^2. Calcular: a) En que tiempo recorrerá una distancia de 1.3 Km/h b) Qué rapidez llevará en ese tiempo en m/s y en Km/h *

Answers

Answer:

[tex]136.28\ \text{s}[/tex]

19.08 m/s or 68.688 km/h

Explanation:

a = Aceleración = [tex]0.14\ \text{m/s}^2[/tex]

s = Desplazamiento = [tex]1.3\ \text{km}=1300\ \text{m}[/tex]

u = Velocidad inicial = 0

t = Tiempo empleado

De las ecuaciones cinemáticas obtenemos

[tex]s=ut+\dfrac{1}{2}at^2\\\Rightarrow 1300=0+\dfrac{1}{2}\times 0.14t^2\\\Rightarrow t=\sqrt{\dfrac{1300\times 2}{0.14}}\\\Rightarrow t=136.28\ \text{s}[/tex]

El tiempo necesario para recorrer una distancia de 1,3 km es [tex]136.28\ \text{s}[/tex]

[tex]v^2-u^2=2as\\\Rightarrow v=\sqrt{2as+u^2}\\\Rightarrow v=\sqrt{2\times 0.14\times 1300+0}\\\Rightarrow v=19.08\ \text{m/s}=19.08\times 3.6=68.688\ \text{km/h}[/tex]

La velocidad final del automóvil es 19.08 m/s so 68.688 km/h.

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