an experimental plane, currently overhead, is flying at 120 mph at an altitude of 32 thousand feet. how fast is the plane’s distance from you increasing at the moment when the plane is flying over a point on the ground 24 thousand feet from you?

Answers

Answer 1

This question involves the concepts of Pythagora's Theorem and derivatives.

The plane's distance is increasing at a rate of "105.6 ft/" (OR) "72 mph".

First, we will write an expression for the distance between the person and the plane in terms of time. For that purpose, we will use Pythagora's Theorem. Here, the altitude will act as perpendicular, the horizontal distance on the ground will be the base, and the straight line distance between the plane and the person will be the hypotenuse.

[tex]Hyp^2 = Base^2+Perp^2\\s^2 = (vt)^2+(32000\ ft)^2\\s=\sqrt{(vt)^2+(32000)^2}[/tex]

where,

s = plane's distance from the person

v = horizontal speedof the plane = [tex](120\ mph)(\frac{1.47\ ft/s}{1\ mph})[/tex] = 176 ft/s

t = time

Therefore,

[tex]s=\sqrt{(176t)^2+(32000)^2}[/tex]

Taking the derivative with respect to time:

[tex]\\\\\frac{ds}{dt} = \frac{1}{2}\frac{(2t)(176)^2}{\sqrt{(176t)^2+(32000)^2}}\\\\\frac{ds}{dt} = \frac{61952\ t}{2s}[/tex]

where,

[tex]\frac{ds}{dt}[/tex] = rate at which plane's distance is increasing from the person = ?

s = distance = [tex]\sqrt{(24000\ ft)^2+(32000\ ft)^2} = 40000\ ft[/tex]

t = time = [tex]\frac{horizontal\ distance}{v} = \frac{24000\ ft}{176\ ft/s} = 136.36\ s[/tex]

Substituting these values in the equation, we get:

[tex]\frac{ds}{dt}=\frac{(61952)(136.36)}{(2)(40000)}[/tex]

[tex]\frac{ds}{dt}=105.6\ ft/s = 72\ mph[/tex]

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The attahced picture illustrates Pythagora's Theorem.

An Experimental Plane, Currently Overhead, Is Flying At 120 Mph At An Altitude Of 32 Thousand Feet. How

Related Questions

Blue bumper car, traveling east with a force of 100 N, runs into a yellow bumper car traveling west with a force of 300 N. Because the net force will be -200 N. one of the cars will be pushed backward. Which one?

Answers

Answer:

the blue bumper car

Explanation:

because the yellow bumper car is coming in with much more force

and according to Newton, actions and reactions are equal and opposite, so the yellow bumper car will five out 300N while the blue car will give out only 100N

then it almost because a fight between 300N vs 100N

and obviously, the 300N will win and the 100N will be pushed back

What is the acceleration of a car that increases its velocity from 0 to 100 kilometers per hour in 10 seconds?

Answers

Answer:

0.00278 km/sec2 or 36,000 km/hr2 .

Explanation:

Rearange the following equation

5.5t=1.2t^2

Answers

[tex]\\ \sf\longmapsto 5.5t=1.2t^2[/tex]

[tex]\\ \sf\longmapsto t^2=\dfrac{5.5}{1.2}[/tex]

[tex]\\ \sf\longmapsto t^2=4.58[/tex]

[tex]\\ \sf\longmapsto t=\sqrt{4.58}[/tex]

[tex]\\ \sf\longmapsto t=2.1[/tex]

Why does it sound different when tapping on an aluminum spoon with an aluminum spoon when tapping on an iron jar?

Answers

Answer:

When the different objects drop on floor then each object vibrate at its natural frequency and produce different sound.

Explanation:

Conclusion: Thus different object has different vibration frequency and when they dropped on floor each vibrate at its natural frequency and produce different sound.

A plane mirror moves towards the object with a velocity of 2m/s and the object itself moves towards the mirror with a velocity of 5m/s. What is the velocity of the image approaching towards the object..

Answers

Answer:

3.33 m/s

Explanation:

1/2 = 1/5 + 1/x

1/x = 1/2 - 1/5

1/x = 5/10 - 2/10

1/x = 3/10

x = 10/3

x = 3.33 m/s

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the process of submerging an object to determine its volume is called

Answers

Answer:

Measuring the volume of an irregularly shaped object using geometry is often difficult and complicated. The easiest way to do this is by using the water displacement method. Often taught in chemistry or other science classes, this method is known for its simplicity and accuracy.

Explanation:

Measuring the volume of an irregularly shaped object using geometry is often difficult and complicated. The easiest way to do this is by using the water displacement method.

What is displacement?

Shortest distance between two point are called as displacement, or we can say that when a body moves between two points the total  lengths between two points are called as distance but the shortest distance between two point is called as displacement. Displacement is measured in meter and it is a vector quantity.  Displacement may became zero but distance never became zero.

In above problem we cam say that in a race car start form a point and reaches at the same point then it's displacement is zero because  there is no shortest distance. Displacement is measured in meter and it is a vector quantity.  Displacement may became zero but distance never became zero.

Therefore,Measuring the volume of an irregularly shaped object using geometry is often difficult and complicated. The easiest way to do this is by using the water displacement method.

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What is meant by the phrase "a consistent method of measurement"?
A. All measurements are in SI units.
B. Every measurement is exactly the same numerical value.
C. The same person performs all measurements.
D. Measurements are taken in a way that is the same every time.

Answers

Answer:

D. Measurements are taken in a way that is the same every time

Explanation: I took the quiz and got it right.

HELP HOMEWORK IS DUE IN % MINUTES

6. How much time will it take for a bug to travel 5 meters across the floor if it is traveling at 1 m/s?

7. You need to get to class, 200 meters away, and you can only walk in the hallways at about 1.5 m/s. (if you run any faster, you’ll be caught for running). How much time will it take to get to your class?

8. In a competition, an athlete threw a flying disk 139 meters through the air. While in flight, the disk traveled at an average speed of 13.0 m/s. How long did the disk remain in the air?

Answers

Answer:

Answer to number 6 = 5 seconds.

Explanation:

Distance = Speed x Time.

So  

t

=

d

s

t

=

5

1

=

5

So the bug will take 5s.

Answer to number 7 =133.33

Explanation:

here s=200m

v=15m/s

now,s=d/t

then,t=d/s

200÷1.5=133.33s

Answer to number 8 = 10.69 s

t = 139m/13 m/s

This is physics?? If so I must be a genius.

To prevent accidental poisoning, you should NOT __________.
A.
mix chemicals in well ventilated areas
B.
follow the instructions on the label
C.
keep materials in unlabeled containers
D.
use chemicals in well ventilated areas

Answers

Answer:

the answer is option c

Explanation:

if we keep materials in unlabelled containers we can mix them up and use 2 dangerous acids to make an explosion

will give correct answer brainliest





Momentum Before Collision Momentum After Collision Ball 1 ? 10 kg m/s O kg m/s Ball 2 4 kg m/s This table shows the exchange of momentum for Ball 1, which was traveling at 10 kg m/s when it hit Ball 2, which was stationary. The momentum of Ball 1 after the collision is 4 kg m/s. 6 kg m/s. 6 10 kg m/s. 14 kg m/s.​

Answers

Answer:

6kg m/s--------------------------

Can some one help me whith the answer

Answers

Answer :

» B. 6.03 × 10²³ electrons

Explanation :

The charge in electron charge Q(e) is equal to the charge in coulombs Q(C) times 6.24150975⋅1018:

1C = 6.24150975⋅10¹e

Q(e) = Q(C) × 6.24150975 × 10¹

Q(e) = 96,500 × 6.24150975 × 10¹

Q(e) = 6.02305690875 × 10²³

which is round off to

6.03 × 10²³ electrons

marissas car accelerates uniformly at a rate of -2.60m/s^2. how long does it take for marissas car to accelerate from a velocity of -28.2m/s to -42.3m/s?

Answers

Answer:

1.02s

Explanation:

In this situation the following equation will be useful:

Where:

 is Marissa's car  final velocity

 is Marissa's car initial velocity

 is Marissa's car constant acceleration  (assuming this is the acceleration, since 1269 m/s^{2} does not make sense)

 is the time  it takes to accelerato from  to 

What role does a volcano play in our planets dynamic internal activity

Answers

Answer:

Volcanic activity acts as a window to a planet's interior. The type of volcanism and the composition of the lava give scientists a peak underneath the crust. The very presence of volcanic features tells scientists that a planet's interior is -or was - hot enough to form magma that erupted at its surface

Explanation:

hope it's helpful to you

which particle is transferred from one object to another to create a static charge?

Answers

Answer:

The answer is A: Electron

Because they are loosely bounded and can be easily transferred. The protons are bounded to the nucleus so they cant be transferred.

It cant be an atom or a molecule.

Explanation:

A mixture
a. Can always be separated using filtration
b. Contains substances that are not mixed in a specific ratio
c. Is made when two or more elements chemically combine with each other
d. All of the above

Answers

Answer:

B. contains substance s that are not mixed in a specific ratio

Explanation:

the proportion of constituents in a mixture can vary


Which statement about a Ferris wheel is true?
a The input force is applied to the axle.
b The input force is less than the output force.
с The output distance is shorter than the input
distance.

Answers

Answer:the imput force is applied to the axle

Explanation:

Which of the following is the correct definition of electric magnetic field

Answers

Answer:

the electric magnitic is not a field to have an violen not elictric because a pandmic

sana maka toulong

A space ship cruises at a constant velocity of 33,155 km/hr for 22.5 minutes. How far does the ship travel in that
time? State your result in kilometers.

Answers

Answer:

12,433 km

Explanation:

I got this by doing 33,155 and dividing it by 60, which is km per minute, then I did 552.583333, which is km per minute and multiplied it by 22.5, which equals 12,433 km

To check this you can do 12,433 times 2, which is 45 minutes and then use 552.583333, which is per minute, and multiplying by 15, which is 15 minutes, then add

(12,433 x 2 = 24,866) add 8288.75 [15 minutes] and that gets you 33,155

(Brainiest and thanks are very much appreciated for the effort put in)

how is the lens able to change its refractive power?

Answers

Answer:

The lens can sharpen the curvature of its front and back surfaces, increasing its focusing power.

Explanation:

A lens can change its refractive power through sharpening of the curvature of its front and back surfaces, thereby increasing its focusing power.

What is refractive power of lens?

The optical power of a lens is the degree to which the lens is able to converge or diverge light.

The optical power of a lens is measured in Diopters, and obtained by taking the reciprocal of the focal length in meters.

P = 1/F

How lens changes its refractive power

A lens can change its refractive power through sharpening of the curvature of its front and back surfaces, thereby increasing its focusing power.

Learn more about refractive power of lens here: https://brainly.com/question/17110657

Which describes a molecule? (Select all that apply.)
It can be one element by itself.
It can be the combination of different neutrons.
It can be two or more different elements combined.
It can be two or more of the same elements combined together. please help!

Answers

Answer:

a molecule is an electrically neutral group of two or

more atoms held together by chemical bonds

Explanation:

Answer:

It can be two or more of the same elements combined together.

It can be one element by itself.

Explanation:

15. Starting from rest, an object rolls freely down an incline that is 10 m long in 2 s. The acceleration of the
object is approximately?

Answers

Answer:

a = 5m/s^2

Explanation:

Vi=0 m/s

ΔY=10m

Δt=2s

find acceleration

With the givens and the acceleration being the only one missing, we can safely use the Δy = Vi Δt + 1/2 a (Δt)^2 formula

Plug it in and we get:

10 = 0 x 2 + 1/2 a (2)^2

10 = a2

10/2 = a 2/2

a = 5 m/s^2

I hope this helps :)

Explain how energy is transferred in an impact situation such as a car crash.


I PROMISE TO MARK YOU BRAINLIEST I JUST NEED A THOROUGH ANSWER!!
THANKS IN ADVANCE BESTIES

Answers

During a car crash, energy is transferred from the vehicle to whatever it hits, be it another vehicle or a stationary object. ... The object that was struck will either absorb the energy thrust upon it or possibly transfer that energy back to the vehicle that struck it.

I HOPE THIS HELPSS???
Mark me brainliest

how is the moon different during a new moon phase than during a lunar eclipse?

Answers

Answer:

because one the moon just resets and the other is a whole other thing

how to measure the density of air

Answers

The easiest way to calculate the density of dry air is by applying the ideal gas law. The ideal gas law expresses density as a function of temperature and pressure. Also, just like all gas laws, it is an estimate.

Calculate the average force a 60.0-kg sprinter exerts backward on the track to accelerate from 2.00 to 8.00 m/s in a distance of 2.50m

Answers

Hi there!

Because of Newton's Third Law, the force exerted by the sprinter on the track is equal and opposite to the force exerted by the track on the sprinter.

We can begin by calculating the sprinter's acceleration. Use the equation:

vf² = vi² + 2ad

Rearrange for acceleration:

(vf² - vi²)/2d = a

Plug in values:

(8² - 2²)/2(2.5) = 60/5 = 12 m/s²

Calculate the force:

∑F = ma

∑F = 60 × 12 = 720 N. This is the amount of force exerted by the track on the sprinter in causing him to accelerate forward.

Thus, the backward force exerted by the sprinter on the track is the opposite, or -720 N.

If you place a force of 10 N on a box and accelerate at 1.2 m/s squared what is the mass of the box?

Answers

Answer:

8.33 kg

Explanation:

The mass of the box can be found by using the formula

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

f is the force

a is the acceleration

From the question we have

[tex]m = \frac{10}{1.2} = 8.333... \\ [/tex]

We have the final answer as

8.33 kg

Hope this helps you

Information travels at 120 metres per second in neurones. Calculate the time it would take for the information to travel 2.3 m along a neurone. Give your answer in milliseconds.​

Answers

Answer:

5 remainder 5

Explanation:

divide 120 by 2.3

To calculate the time it would take for information to travel a certain distance along a neuron, you can use the formula: Time = Distance / Speed.

Given that the information travels at 120 meters per second and the distance is 2.3 meters:

Time = 2.3 m / 120 m/s

Time ≈ 0.019167 seconds

To convert seconds to milliseconds, multiply by 1000:

Time in milliseconds ≈ 0.019167 s * 1000 ms/s ≈ 19.167 ms

So, it would take approximately 19.167 milliseconds for the information to travel 2.3 meters along a neuron.

To know more about neuron:

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What resistance does a 25 W light bulb have if 12.6 V is applied to it?
(3 marks)

Answers

Answer:

Explanation:

W = 25 Watts

V = 12.6 Volts

I = ? I is the current in amperes.

Solution

25 = 12.6 * I

I = 25 / 12.6

I = 1.98 amperes

V = 12.6

I = 1.98

R = ??

V = I * R

12.6 = 1.98 * R

R = 12.6 / 1.98

R = 6.35 ohms

mention 4 layers of the atmosphere

Answers

Answer:

These layers are the troposphere, the stratosphere, the mesosphere and the thermosphere.

A further region, beginning about 500 km above the Earth's surface, is called the exosphere.

Explanation:

Hope this helps you. Have a nice day. Please mark as brainliest. It helps a lot.^_^

1 point
A person travels at the rate of 60 miles per hour and covers 300 miles in 5
hours. If he reduces his speed by 10 miles per hour, how long will he take to
cover the same distance ?

Answers

Answer:

6 hours

Explanation:

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