A model airplane is flying north with a velocity of of 15m/s. A strong wind blowing east at 12m/s
What is the airplanes resultant speed (magnitude of vector)

What is the airplanes heading (direction of velocity vector

Answers

Answer 1

Answer:

1.) 19.21 m/s

2.) 57 degree

Explanation: Given that a model airplane is flying north with a velocity of of 15m/s. A strong wind blowing east at 12m/s

The airplanes resultant speed can be calculated by using pythagorean theorem

R = sqrt ( 15^2 + 12^2 )

R = sqrt( 225 + 144 )

R = sqrt( 369 )

R = 19.21 m/s

The magnitude of the resultant vector is 19.21 m/s

The direction of velocity vector will be:

Tan Ø = 15 /12

Tan Ø = 1.25

Ø = tan^-1(1.25)

Ø = 57.04

Ø = 57 degree.

Therefore, the airplanes is heading 57 degree in the horizontal direction of velocity vector


Related Questions

does potential thermal energy affect the temperature of an object?

Answers

Answer:

Yes, it does

Explanation:

There are not many explanations, but when thermal energy is shined on an object it usually starts to heat up.

What are the benefits of evolution for the human population?

Answers

Answer:

I hope you fall down a 40 floor hotel resort onto the porch, and explode into the gushing body you are!

Explanation:

2. The components of vector A are given as follows:
Ax = 5.6 Ay = -4.7
What is the angle between vector A and positive direction of x-axis?​

Answers

Answer:

50 degree.

Explanation:

Given that the components of vector A are given as follows: Ax = 5.6 Ay = -4.7

The angle between vector A and B in the positive direction of x-axis will be achieved by using the formula:

Tan Ø = Ay/Ax

Substitute Ay and Ax into the formula above.

Tan Ø = -4.7 / 5.6

Tan Ø = -0.839

Ø = tan^-1(-0. 839)

Ø = - 40 degree

Therefore, the angle between vector A and B positive direction of x-axis will be

90 - 40 = 50 degree.

Which has the fastest wave speed, a high frequency sound or a low frequency sound?

Answers

Answer:

high frequent sound

Explanation:

because if its low than its slower.

Which statement illustrates how engineering has influences society

Answers

Answer:

I think C but I'm not sure

The statement that illustrates how engineering has influences society is nuclear power plants provide cheap electricity to power people's homes. The correct option is A.

This claim serves as an example of how engineering has impacted society. Because they offer a practical and economical source of electricity for lighting up homes and other infrastructure, nuclear power plants have had a big impact on society.

The ability to create electricity from the energy held in atoms thanks to improvements in nuclear technology has boosted the availability and affordability of power for users.

This illustrates how advances in engineering can influence and enhance how society fulfils its energy needs.

Thus, the correct option is A.

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Compare How does
the horse's average speed
from 60 s to 120 s compare
to its average speed from
120 s to 180 s?

Answers

Answer:

3.75 m/s

Explanation:

Formula:

Average Speed = Total Distance / Total Time

Given:

Total Distance = 150 m

Total Time = 160 - 120 = 40 s

To Find:

Average Speed

Solution:

Average Speed = 150/40

Average Speed = 3.75 m/s

What contributions did Johannesburg Kepler make

Answers

Answer:

Multiple

Explanation:

He was the first to determine that refraction drives vision in the eye. Using two eyes enables depth perception. Kepler is also known for defining laws regarding planetary motion.

A squirrel is running a race where she is on track for her average velocity to be 6.0 m/s. She is distracted by a dummy of an attractive male squirrel and pauses for 3.0 s. As a result her average velocity ends up being 5.0 m/s instead. What is the length of the race? [HINT: construct two equations with the same two unknowns in them and you can solve the system of equations]

Answers

Answer:

90 m

Explanation:

There are two unknowns: the amount of time the squirrel spent running, and the length of the race.  Let's call these t and x, respectively.

The average velocity is the total distance divided by the total time.

5.0 m/s = x / (t + 3.0)

The total distance is the time she spent running times the speed she ran at.

x = (6.0 m/s) t

Substitute and solve:

5 = 6t / (t + 3)

5 (t + 3) = 6t

5t + 15 = 6t

t = 15

She ran for 15 seconds (not including the 3 seconds she stopped).  So the length of the race is:

x = (6.0 m/s) (15 s)

x = 90 m

how many legs a cow has​

Answers

the cow has 4 legs :)

Add these two velocity vectors to find the magnitude of their resultant vector. A. 4.6 meters/second B. 0.8 meters/second C. 2.2 meters/second D. 7.0 meters/second

Answers

The magnitude of the resultant vector is D, 7.0 meters/second, and the direction is to the left.

How to find magnitude?

To add these two velocity vectors, find the magnitude and direction of each vector. The magnitude of the first vector is 5.8 meters/second, and the direction is to the right. The magnitude of the second vector is 1.2 meters/second, and the direction is to the left.

To find the magnitude of the resultant vector, add the magnitudes of the two vectors. The magnitude of the resultant vector is 5.8 meters/second + 1.2 meters/second = 7.0 meters/second.

To find the direction of the resultant vector, find the angle between the two vectors. The angle between the two vectors is 180 degrees. The direction of the resultant vector is 180 degrees from the first vector, which is to the left.

Therefore, the magnitude of the resultant vector is 7.0 meters/second, and the direction is to the left.

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What do we know has to be TRUE about the action and reaction force below? ​

Answers

the action and reaction force are equal and opposite

the boot kecked the ball which is frictinal force

Since Allura Red is red in color, why did we choose to use monitor the wavelength of 470 nm? does allura red transmit or absorb red light ?

Answers

Answer:

Wavelenght of light in the range of 470nm is that of blue colourand Allura red absorbs this blue light and reflects the red light

Then we can say Allura red absorbs all light colours but reflect red

Allura is red due to the fact that it absorbs the light that's in the wavelength.

From the complete information, it should be noted that even though allura red is red in color, we choose to use monitor the wavelength of 470nm because absorbs the light that's in the wavelength range of blue color and thereby reflects the red wavelength.

It should also be noted that the allura red absorbs all the other wavelengths. It doesn't absorb the red light but rather it reflects it.

In conclusion, the red light will be reflected.

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sort the properties of metalloids into the correct categories

Answers

Boron

Sillicon

Germanium

Arsenic

Antimony

Tellurium

Pelorium

Metallic characteristics: lustrous, solid at room temperature

In-between characteristics: semiconducting, amphoteric

Nonmetallic: brittle

Juan, a biologist, notices that a particular group of hummingbirds leaves during the colder winter months and returns during the warmer spring months. Juan hypothesizes that the birds fly south to locations with warmer weather and blooming flowers during the winter months. Which procedure should Juan use to test his hypothesis?​

Answers

Answer:

C. Tag the hummingbirds with transmitters and track their movement.

Explanation:

Hypothesis refers to the conclusion of the analysis found on the grounds of certain observations. The hypothesis is further tested and verified by performing certain experiments. In the given excerpt, Juan hypothesizes that certain group of hummingbirds fly to certain locations depending upon the season. To test the hypothesis, Juan can experiment with finding and tracking the hummingbirds and the direction in which they fly. Tagging the hummingbirds with transmitters and tracking their movement would help Juan concluding about the hypothesis.

Answer:

Tag the hummingbirds with transmitters and track their movement

Explanation:

Select the correct answer. As per the new modified method of classifying the magnitude of stars, what kind of values were the brightest stars assigned? A. negative values B. positive values C. fractional values D. letters

Answers

Answer:

A. Negative values

Explanation:

Answer:

A-negative values

Explanation:

As per the new modified method of classifying the magnitude of stars, what kind of values were the brightest stars assigned?

A.

negative values

B.

positive values

C.

fractional values

D.

letters

What is the speed of an ocean wave if it’s wavelength is 5.0 m and it’s frequency is 3/s?

Answers

Answer:

15 m/s

Explanation:

We know that [tex]v = f * d[/tex] where f = frequency & d = wavelength .

So here.

Wavelength = 5 m

Frequency = 3 s⁻¹

Hence Speed = 5 * 3 = 15 m/s

It is easier to open the lid of a can using a spoon why?​

Answers

Answer:

It depends on how you use the spoon...

if you are keeping one end of the spoon and pressing other end, the force you provide is supported by the force due to gravity... Hence it is easy to open this way :)

F + G ... Where F is the force you provide and G is the force due to gravity.

A car slowed down from 70 mils to 30 mi/s on the highway in 20
seconds. What was the car's acceleration?

Answers

It was 40 I hope it helps

How many meters are in 5.0 cm?
500
0.050
0.0005
0.5

Answers

Explanation:

100cm=1m

5 cm= x

cross multiple

x=5/100

=0.05m

There are 0.05 meters in 5 cm. The correct option among the following is option (B).

In the metric system, a centimeter (cm) is a unit of length. It is one centimeter (1 cm = 0.01 m) in size. Small distances or measurements, such as the length, height, or width of items, are frequently measured in centimeters. Due to its practical size for many routine measurements, it is also frequently employed in scientific and mathematical computations.

In the International System of Units (SI), the meter serves as the base unit and is frequently used to measure lengths, heights, and other measurements. It serves as the basic building block for other metric units like centimeters (one meter equals one hundred centimeters) and kilometers (one kilometer equals one thousand meters).

So, to convert 5.0 cm to meters:

5.0 cm ÷ 100 = 0.05 m

Hence, 5.0 cm is equal to 0.05 meters. The correct option is (B).

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What is the net Force needed to get a 16 kg box moving 4 m/s^2?

Answers

Answer:

The net force should be of a magnitude of 64 N

Explanation:

We use Newton's second Law for this:

[tex]F_{net} = m\,*\,a[/tex]

which for our case gives:

[tex]F_{net} = m\,*\,a=16\,(4)\,N= 64\,\,N[/tex]

A marble rolls 269cm across the floor with a constant speed of in 44.1cm/s.
What is the time interval of marble?

Answers

Answer:

t = 6.09 seconds

Explanation:

Given that,

Speed, v = 44.1 cm/s

Distance, d = 269 cm

We need to find the time interval of the marble. Speed is distance per unit time.

[tex]v=\dfrac{d}{t}\\\\\implies t=\dfrac{d}{v}\\\\t=\dfrac{269\ \text{cm}}{44.1\ \text{cm/s}}\\\\t=6.09\ s[/tex]

Hence, the time interval of the marble is 6.09 seconds.

A wire 6.60 m long with diameter of 2.05 mm has a resistance of 0.0310 Ω.
Find the resistivity of the material of the wire.
rho= Ω*m

Answers

Answer:

1.551×10^-8 Ωm

Explanation:

Resistivity of a material is expressed as shown;.

Resistivity = RA/l

R is the resistance of the material

A is the cross sectional area

l is the length of the wire.

Given;

R = 0.0310 Ω

A = πd²/4

A = π(2.05×10^-3)²/4

A = 0.000013204255/4

A = 0.00000330106375

A = 3.30×10^-6m

l = 6.60m

Substituting this values into the formula for calculating resistivity.

rho = 0.0310× 3.30×10^-6/6.60

rho = 1.023×10^-7/6.60

rho = 1.551×10^-8 Ωm

Hence the resistivity of the material is 1.551×10^-8 Ωm

How much power is needed to lift the 200-N object to a height of 10 m in 4 s?

Answers

Answer:

500 watts

Explanation:

Recall that the definition of power is the amount of energy delivered per unit of time.

In our case, the energy delivered is potential energy which we can estimate as the product of the weight of the object times the distance it is lifted above ground:

200 N x 10 m = 2000  Nm

then the power is the quotient of this potential energy divided the time it took to lift the object to that position:

Power = 2000 / 4   Nm/s = 500 Nm/s = 500 watts

How fast do you go if you move 80 meters in 0.20 seconds?

Answers

Answer: I HOPE IT HELPS

Use this Speed Calculator to calculate the speed you have travelled based ... (so add three 0s to your kilometres to get metres) and a mile is 1609 metres. ... You will have distance per time such as kilometres per hour or metres per second. ... If you want help with that, click on hyperlink for metres or for minutes and seconds.

Explanation:

Which of the following is the best thermal conductor?
A. Fiberglass.
B. Stainless.
C. Steel.
D. Wood.
E. Silver

Answers

Answer:

steel because being alloy in metal it has free electrons in metals

Organized procedure to study something under controlled conditions

Answers

what’s your question to that

Newtons third law of motion states that if a force is exerted on an object, another force occurs that, A. is equal in speed and opposite direction
B. is equal in side an opposite in direction
C. is in the same direction and speed
D. is in the same direction and size.​

Answers

Answer:

Newton's third law: If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A. This law represents a certain symmetry in nature: forces always occur in pairs, and one body cannot exert a force on another without experiencing a force itself.

Explanation:

Newtons third law of motion states that if a force is exerted on an object, another force occurs that is equal in side an opposite in direction.

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.

Newton's third law: If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A. This law represents a certain symmetry in nature forces always occur in pairs, and one body cannot exert a force on another without experiencing a force itself.

Newtons third law of motion states that if a force is exerted on an object, another force occurs that is equal in side an opposite in direction.

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The diagram below shows a star map. Which position would a planet most likely be at? A, B, C, or D?

Answers

I think c but I’m not sure so don’t use mine

can anyone help me with this.

Answers

Answer:

A. smaller arteries

Explanation:

A. because it makes no sence.

Thermal effects refers to the:

Answers

Answer:

removal of heat by cooling towers

Yup I agree with that answer
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