If an object is moving at 4 m/s in the x-direction, and 2 m/s in the y-direction, what is the velocity of the object written in terms of standard basis vectors?

Answers

Answer 1

Answer:

V = 4i^ + 2j^

Explanation:

We are given;

Velocity in the x-direction; V_x = 4 m/s

Velocity in the y-direction; V_y = 2 m/s

Now, in terms of standard basis vectors, we normally write the resultant velocity as;

V = (V_x)i^ + (V_y)j^

Thus, the resultant velocity is;

V = 4i^ + 2j^


Related Questions

A jet airliner moving initially at 366 mph (with respect to the ground) to the east moves into a region where the wind is blowing at 127 mph in a direction 60◦ north of east. What is the new speed of the aircraft with respect to the ground?

Answers

Answer:

The new speed is [tex]V_r = 443.4 \ m/s[/tex] , in the direction  [tex]\theta = 14.36^o[/tex] with respect to the ground

Explanation:

From the question we are told that

   The initial speed of the jet airliner is 366 mph to the east (positive x - axis )

    The direction of the wind is  [tex]u = 127 \ mps[/tex] toward  60° north west

     Generally the  x component of jet airliner velocity is  

             [tex]v_x = 366 * cos (0) = 366 \ mph[/tex]

      Generally the  y component of jet airliner velocity is

              [tex]v_y = 366 * sin (0) = 0 \ mph[/tex]

       Generally the  x component of winds velocity is  

              [tex]u_x = 127 cos(60) = 63.5 \ m/s[/tex]

        Generally the y component of winds velocity is

              [tex]u_x = 127 sin(60) = 109.99 \ m/s[/tex]

Generally the velocity of both the jet airliner and wind along the x-axis is

        [tex]V_x = v_x + u_x = 366 + 63.5 = 429.5 \ m/s[/tex]

Generally the velocity of both the jet airliner and wind along the y-axis is

        [tex]V_y = v_y + u_y = 0 + 109.99 = 109.99 \ m/s[/tex]

Generally the resultant velocity is  

          [tex]V_r = \sqrt{V_x^2 + V_y^2}[/tex]

=>       [tex]V_r = \sqrt{429.5^2 + 109.99^2}[/tex]

=>       [tex]V_r = 443.4 \ m/s[/tex]

 The direction is  

         [tex]\theta = tan^{-1} [\frac{V_y}{V_x}][/tex]

=>      [tex]\theta = tan ^{-1}[\frac{109.99}{429.5}][/tex]

=>    [tex]\theta = 14.36^o[/tex]

\in what way are the longitudinal waves formed on the spring coils similar to the sound waves in air?

Answers

Answer:

The spring coils and the air participles both move in the same direction as the wave travel

The compton effect was observable because Compton bombarded free electrons with

Answers

Answer:

wasnt it a key

Explanation:

What is the average speed if an object travels 90 meters in 3 seconds?

Answers

Answer:

The answer is 30 m/s

Explanation:

The average speed of an object can be found by using the formula

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

d is the distance

t is the time

We have

[tex]v = \frac{90}{3} \\ [/tex]

We have the final answer as

30 m/s

Hope this helps you

If a person is walking at 4 m/s, how far can he travel in 30 seconds

Answers

Answer:

120 m

Explanation:

If John walks around the block, what distance does he travel?

Answers

Answer:

hmm do you now how to divide

or no

Explanation:

1. A car travels a distance of 100 km in 2 hours. What is the average speed of the car (km/h)?

Answers

Answer:

50 km/h

Explanation:

d = 100km

t = 2 hours

average speed = total distance/total time

= 100/2  = 50 km/h

Hope this helps! If so please consider marking brainliest!

Explain why a man using a parachute falls through air slowly while a stone falls through air very fast​

Answers

A man using a parachute falls through air slowly because a parachute experiences a lot of air resistance due to its large surface and shape but a stone has no air resistance hence it falls very fast than a parachute when released at the same time.Jul

is peddling bicycle friction

Answers

Answer:

Yes

Explanation:

Answer:

Yes

Explanation:

friction: the resistance that one surface or object encounters when moving over another.

6.0 C when the current is 0.5 A​

Answers

Explanation:

??? i don't really see a question here......

A person ran with a speed of 6 m/s onto the skateboard .What is the speed with which he ride on the skate board

Answers

Answer:

Let's define:

M = mass of the person

m = mass of the skateboard.

We can write the momentum as:

P = M*v

Remember the conservation of momentum, as we can not find any force in this situation (a highly idealized situation) the momentum will be conserved.

if P is the momentum before the person rides the skateboard, P' will be the momentum after the person rides the skateboard.

P = M*v

P' = (m + M)*v'

We must have:

P = P'

Now, we can assume that the mass of the skateboard is a lot smaller than the mass of the person, such that:

m  << M

then we can assume:

(m +M) ≈ M

then:

P' = (M + m)*v' ≈ M*v'

And this is equal to P.

M*v' = M*v

Then we must have that:

v' = v

and we know that v = 6m/s

Then v' = 6m/s

The velocity after riding the skateboard will be equal to the velocity before riding it (in this model)

In a more scientific way, the velocity after riding the skateboard will be a bit smaller than the velocity before, and it will depend on the mass of the person and the mass of the skateboard.

calculate the volume of a liquid with a density of 5.45g/cm³ or centimeter square and a mass of 65g.​

Answers

Answer:

12 ml

Explanation:

The thing to remember about a substance's density is that it tells you the mass of every unit of volume of said substance.

Frank Schuman, an American inventor, designed a way to use concentrated sunlight to create steam to drive a turbine to generate electricity in 1910. It did not get accepted in the US, because cheap __________ was being burned to make the steam

Answers

Answer:

coal

Explanation:

Frank Schuman's solar power invention to create steam that will drive the turbine to generate electricity was not accepted in the United State back then because coal, a non-renewable energy source, was available for cheap and can easily be burned to generate steam.

Since the coal was readily available for cheap and back then, the deposit was huge to the extent that no one was thinking that it could get exhausted one day or the environmental pollution created through its burning, the invention of Schuman did not get the desired attention.

A chicken runs across the street at a speed of 12 m/s. If the road is 36 meters across, how long does it take for the chicken to cross the road?

Answers

Answer:

3

Explanation:

Its not that hard....

If a chicken runs across the street at a speed of 12 m/s, and the road is 36 meters across, then the chicken takes 3 seconds to cross the road.

What is speed?

Speed is the rate at which an object covers distance. It is the measure of how fast or slow an object is moving relative to a particular reference point.

Speed is usually expressed in units of distance per unit time, such as meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph).

For example, if a car travels a distance of 100 kilometers in 2 hours, then its speed would be:

Speed = Distance / Time = 100 km / 2 hours = 50 km/h

This means that the car is covering a distance of 50 kilometers every hour.

Here in the Question,

To calculate the time it takes for the chicken to cross the road, we can use the formula:

time = distance/speed

where distance is the width of the road, and speed is the velocity of the chicken.

Substituting the given values, we get:

time = 36 meters / 12 m/s

time = 3 seconds

Therefore, it takes the chicken 3 seconds to cross the road.

To learn more about Kinetic Energy click:

brainly.com/question/26472013

#SPJ2

On the first part of a journey, a motor cyclists travels for 33 hours at an average speed of 60km per hour.On the second part of a journey, the same motor cyclists travels for 600 minutes at an average speed of 50km per hour.How far does the motor cyclists travel in total

Answers

Answer:

2480km

Explanation:

efficient than simple
Compound machines are generally
machines.

Answers

Answer:what?????

Explanation:hhisb

Which idea of the geocentric model of the solar system was most contested by some philosophers?(1 point) a.The universe was the only object they could see. B.Earth was not moving. C.The motion of the planets was uniform and circular. D.Earth was the center of the universe.

Answers

Answer:

D.Earth was the center of the universe

Explanation:

In the geocentric model of the solar system, the earth was the center of the universe and the sun and planets orbited around it. As the oldest model that sought to understand the functioning of the solar system, it was little contested due to the difficulty of scientific resources for further investigation.

Gradually this model was shaping and being restructured, as new studies, equipment and technologies appeared that could help astronomers and physicists to develop the current theory, that in reality the sun is the center of the solar system.

Answer:

D

Explanation:

You do an experiment to find out how much light is needed to make house plants grow taller. The two variables in this experiment are amount of light and the height of the plants. Which variable is the dependent variable and which is the independent variable? Explain your answer.

Answers

Answer: To grow strong seedlings, the light should be placed close to the tray, and raised as the plants grow taller.  The Independent variable of this experiment is the light that enter the plant. The Dependent variable is the height of the plant.

Explanation:

Convert the following units into SI units without changing their values.


(a) 20281 g (b) 1.54 km (c) 5 minutes

Answers

Answer:

Convert the following units, into SI units without changing their values.

2.5 km

We know that

1 km=1000 m

So, for 2.5 km:

2.5 km=2.5×1000 m

=2500 m

Explanation:

like this you can solve all your question

[tex]hii[/tex]

have a nice day ✌️

An object with a mass of 25 kg is on a free fall from a plane.
a. Calculate the force attracting it to the Earth. Would this force be different in Mars?
Gravitational field strength: 10 N/kg

Answers

Answer:

a) F = 250 [N]

Explanation:

Force can be calculated by means of Newton's second law, which tells us that force is the product of mass by acceleration.

a)

F = m*a

where:

F = force [N]

m = mass = 25[kg]

a = gravity acceleration = 10 [m/s²]

F = 25*10 = 250 [N]

Yes, this force would be different on Mars, since the gravitational acceleration of Mars is different from that of Earth.

gm = Martian gravity = 3.72 [m/s²]

Fm = 3.72*25 = 93 [N]

PLEASE HELP ASAP!!! WILL GIVE BRAINLIEST!!! (hint: please help with all five questions and not just one) THANK YOU FOR HELPING!!! I GREATLY APPRECIATE IT!!!

Answers

1. 5:00
4. 180°
5. O° lattitude
If the Pacific Standered Time is 3 pm then the Eastern Time is 6pm

Q5) You drive a car at 40mph a distance of 5 miles to school. How many seconds does it take
you?

Answers

It takes you 8 minutes

HURRY I’LL MARK YOU AS BRAINLIEST!!

In a soccer game, a player uses force to kick the ball towards the goal.
In this analogy, what would represent the current? *
The player who kicks the ball

a. the player who kicks the ball

b. the ball

Answers

a. the player who kicks the ball

The current in secondary of coil of a transformer is 1 A and that in primary is 0.5 A. If 200V is available in the secondary what is the voltage in the primary?

Answers

Answer:

400 V

Explanation:

The following data were obtained from the question:

Current in secondary coil (Iₛ) = 1 A

Current in primary coil (Iₚ) = 0.5 A

Emf in secondary coil (Eₛ) = 200 V

Emf in primary coil (Eₚ) =.?

The voltage (i.e emf) in the primary coil can be obtained as illustrated below:

Eₛ / Eₚ = Iₚ / Iₛ

200/Eₚ = 0.5/1

Cross multiply

Eₚ × 0.5 = 200 × 1

Eₚ × 0.5 = 200

Divide both side by 0.5

Eₚ = 200/0.5

Eₚ = 400 V

Therefore, the voltage in the primary coil is 400 V

And object additionally addressed experience and acceleration of 9.8 m/s2 how much time will it take to achieve a velocity of 49 m/s

Answers

Answer:

YOU OR YOUR PARENTS VOTE BIDEN!

TRUMP KILLED 223,000 PEOPLE AND HE STILL DOES NOT CARE! HE SAYS WE ARE ROUNDING THE CORNER. HE CAN NOT EVEN HAND OUT STIMULUS TO DYING BUISNESSES AND AIRLINES!

Explanation:

YOU OR YOUR PARENTS VOTE BIDEN!

TRUMP KILLED 223,000 PEOPLE AND HE STILL DOES NOT CARE! HE SAYS WE ARE ROUNDING THE CORNER. HE CAN NOT EVEN HAND OUT STIMULUS TO DYING BUISNESSES AND AIRLINES!

Which is NOT true about forces?

A- All these things are true of forces.

B- They result from interactions

C- They have magnitude and direction

D- They come in pairs

E- They are a push or pull

Answers

Answer:

A

,

alll true

Explanation:


If the amount a spring is stretched doubles, the elastic potential
energy stored will ...
A: halve
B: stay the same
C: double
D: quadruple​

Answers

C double that you go

After accelerating for 20 seconds, a DeLorean sports car is a wide range of speeds that it can achieve, depending on traction. The distribution of speed follows in approximately normal distribution with the meaning of 80 mph and a standard deviation of 7.7 mph Marty wants the next acceleration run to be in the fastest 15% of all possible speeds how fast will the car have to go

Answers

Answer:

72mph

Explanation:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

z score for 15th percentile = -1.036

Mean = 80 mph

Standard deviation = 7.7mph

Hence,

-1.036 = x - 80/7.7

Cross Multiply

-1.036 × 7.7 = x - 80

- 7.9772 = x - 80

x = 80 - 7.9772

x = 72.0228mph

Approximately 72 mph

The two processes which produce nuclear changes are _____ and _____.


fizzing
fission
nucleation
fusion

Answers

The answer is Fusion and fission
Fission and fusion :)))

describe the industrial application of crystalization​

Answers

Answer:

Crystallization is one of the most widely used technologies in chemical industry, and process robustness governs process productivity and economics. In particular, the pharmaceutical and food sectors are utilizing crystallization for optimized separation, purification, and solid form selection.

Crystallization is one of the most widely used technologies in chemical industry, and process robustness governs process productivity and economics. In particular, the pharmaceutical and food sectors are utilizing crystallization for optimized separation, purification, and solid form selection.
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