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
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.
Related Questions
6. An object has a volume 30ml and a mass of 30g. What is the density
Answers
Answer:
1 g/mLExplanation:
The density of a substance can be found by using the formula
[tex]density = \frac{mass}{volume} \\[/tex]
From the question
mass = 30 g
volume = 30 mL
We have
[tex]density = \frac{30}{30} = 1 \\ [/tex]
We have the final answer as
1 g/mLHope this helps you
PI=100 kPa
VI=5 L
P2= 200 kPa
V2=?L
Answers
Answer:
Explanation:
100.5=200.V2
V2 = 2,5L
How much energy is required to take 500g of ice at -40 degrees to water at room temperature (22 degrees Celsius)? Show work pls
Answers
Answer: Given that:
Mass (m) = 20 g = 0.02 Kg,
temperature (T₁) = -10°C = -10+273 = 263 K
temperature (T₂) = 10°C = 10+273 = 283 K
Specific heat of water (Cp) = 4.187 KJ/Kg k
We know that Heat transfer (Q) = m. Cp.( T₂ - T₁)
= 0.02 × 4.187 × (283-263)
Q = 1.67 KJ
Heat transferred is 1.67 KJ
Explanation:
How is air resistance similar to gravity? give me two reasons
Answers
Explanation:
I think this would help you. Read this and make your own answer ok.
make a island with all renewable energy soursws and how it works and about it but at year 9 level
Answers
Answer:
How are we expected to make an island
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 kgExplanation:
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 kgHope this helps you
Freud was an influential and controversial psychologist who believed that psychology should study the unconscious mind. Describe
the two books Freud published in the early 1900s. (Site 2)
Answers
Answer:
The Interpretation of Dreams": Freud noticed that dreams played an important role in his analysis of neurotic and "hysterical" patients. When he asked his patients to talk about whatever came into their minds, they often referred to their dreams, which would set off other associations and often illuminate other important connections in their past experience. It took Freud about two years to write the book, finishing it in September 1897.
A cat falls from a table of height 1.3 m. What is the impact speed of the cat?
O A. 7.5 m/s
O B. 2.5 m/s
O C. 5.0 m/s
O D. 25.5 m/s
SUBMIT
Answers
The impact speed will be
v^2 = 2*9.8*1.3
v^2 = 25.48
v= 5.04 m/s or O C. 5.0 m/s
Define the words offense and defense in flag football
Answers
Answer: I believe offense is the attacking team and defense is the defending team
Source: I just peeked at dad watching football
PLS HELP 15 PNTS AND BRAINLSIT FOR CORRECT ASNWER PLSSSS HELP MEEE
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Volcanic Island Arcs, such as Japan, form when a(n) __________ plate is subducted below a(n) _________________ and takes seawater with it. A rock and water mixture will break through the crust.
Answers
Volcanic Island arcs form when an oceanic tectonic plate is subducted below a tectonic plate taking seawater with it.
Volcanic island arcs occur offshore during volcanoes. They occur due to the subduction of an oceanic plate under another tectonic plate. Volcanic Island arcs occur mostly in ocean basins.
Due to the subduction of oceanic plates under tectonic plates, Island Arcs are found, mostly along the margins of continent.
Hence we can conclude that Volcanic Island arcs Form when an oceanic tectonic plate is subducted below a tectonic plate taking seawater with it.
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The table describes the properties of four compounds.
Which compounds are most likely ionic?
compounds A and B
compounds B and C
compounds C and D
compounds D and A
Answers
The characteristics of the ionic bonds allows to find the results for the question about which compound are ionic is:
d) Compounds D and A.
Chemical compounds are formed by atoms linked by electrostatic forces, where one of the elements gave up some electrons and the other element acquired these electrons, the two atoms being in an ionic state, consequently the bond is strong and has several characteristics:
High melting point. It dissolves in polar solvent (water). In general they are hard and brittle solids (NaCl). In solution they are conductors of electricity.
In these characteristics, let's analyze the compounds in the table.
With the property of high melting point the compounds A and D can be ionic. According to the dissolution property all could be ionic. According to the conduction property of electricity, compounds A and D can be ionic
Let's review the different alternatives:
a) False. Compound A and B has a low melting point.
b) False. The B and C compounds have low melting points.
c) False. Compound C has a low melting point.
d) True. The two compounds meet all the characteristics of ionic compounds.
In conclusion with the characteristics of the ionic bonds we can find the results for the question about which compound are ionic is:
d) Compounds D and A are ionics.
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An object is traveling at a constant velocity of 8 m/s when it experiences a constant acceleration of 3.5 m/s2 for a time of 40 s. What will its velocity be after that acceleration? *
Answers
Answer:
140 m/s
Explanation:
v = u + at
v = 8 + 3.5(40) = 140 + 8 = 140
2 Select the correct answer. In a given chemical reaction, the energy of the products is less than the energy of the reactants. Which statement is true for this chemical reaction? O A Energy is absorbed in the reaction. OB. Energy is released in the reaction. OC. There is no transfer of energy in the reaction. OD Energy is lost in the reactlon. Reset Next ghts reserved.
Answers
Answer:
B Energy is released
Explanation:
why do we need to know physical and chemical change?
Answers
It is important to understand the differences between physical and chemical changes. ... It helps to think of physical changes as those involving changes that don't change the make up of the substance, while chemical changes are those that create a new substance. Physical Changes involve energy.
Which of the following accurately describes circuits? Question 5 options: A) In a series circuit, the amount of current passing through each part of the circuit may vary. B) In a parallel circuit, the same amount of current flows through each part of the circuit. C) In a series circuit, the current can flow through only one path from start to finish. D) In a parallel circuit, there's only one path for the current to travel.
Answers
Answer:
The Answer would be C
In a series circuit , the current can only flow through only one path from start to finisb
15. What is velocity, and how is it useful for describing an object's motion?
Answers
Velocity describes motion by indicating how fastan object moves and in what direction. Speed is a magnitude of velocity, which indicates only how fast an object moves. Speed shows how much distance is traversed in a given interval of time: In a general case of motion,.
some bird migrate 20000 miles if 1 mile equals 1.5 km calculate the distance there birds fly in km
Answers
hope this helped :).
Why do patterns of earthquakes become deeper the farther the distance from a plate boundary?
Answers
Answer:
The result is that epicentres of earthquakes farther to the interior of the overriding plate will correspond to increasingly deep earthquakes.
1. What is the diameter of Mars?
2. What is primary component of Mars’ atmosphere?
3. Why is Mars red?
Answers
3. The simple explanation for the Red Planet's color is that its regolith, or surface material, contains lots of iron oxide — the same compound that gives blood and rust their hue. ... It does have an iron core, but abundant iron exists in its upper layers, also.
will give correct answer brainliest
Which factors below will increase the momentum of a rolling ball of constant mass m? (Select only the answers that will increase the momentum of the ball.) Moving from a flat surface to moving downhill. Colliding with a ball of much lower mass moving in the opposite direction of the ball. A moving object traveling in the same direction as the ball colliding with it. Rolling uphill onto an inclined surface. Rolling onto a surface with high amounts of friction with the ball.
Answers
In order to increase the momentum of the ball, you have to increase its speed.
The first and third choices on the list ('A' and 'C') will do that.
The factors that will increase momentum of a rolling ball are:
A. Moving from a flat surface to moving downhill.
C. A moving object traveling in the same direction as the ball colliding with it.
Factors that increase momentum:The gravitational power of the Earth ready makes the ball speed up, and in this manner pick up speed.
If you increase either mass or velocity, the momentum of the object increases proportionally.
Thus, the factors that increase the momentum of a rolling ball are
A. Moving from a flat surface to moving downhill.
C. A moving object traveling in the same direction as the ball colliding with it.
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What is the initial velocity of a moose who
accelerates uniformly at 1.5 m/s/s for 5 seconds and
finishes with a velocity of 7 m/s?
Answers
Answer:
- 0.5 m/s
Explanation:
(1) Acceleration = change in velocity / time
(2) Change in velocity = (Final velocity - Initial velocity)
We know:
acceleration = 1.5 m/s/s
time = 5 seconds
final velocity = 7 m/s
x = initial velocity)
1.5 = ( 7 - x ) / 5
1.5 x 5 = ( 7 - x )
7.5 = 7 - x
x = -0.5 m/s
You can check the answer by plugging in the values to equation (1).
If an object starts with a velocity of 5.26 m/s
and ends with a velocity of 60.7 m/s in 15.0
seconds, what is its displacement?
Answers
Answer:
Displacement = 8.4m
Explanation:
Hope that this is helpful.
Have a great day.
[tex]v = 60.7m {s}^{ - 1} \: u \: = 5.26m {s}^{ - 1 } \: t = 15s \: \: \: \: \: \\ a \: = \frac{v - u}{t} \\ a \: = \frac{60 .7- 5.26}{15} \\ a = 3.7m {s}^{ - 28} \\ {v}^{2} = {u}^{2} + 2as \\ {60.7}^{2} = {5.26}^{2} + 2 \times 3.7 \times s \\ 60.7 =27 .7 + 2 \times 3.7s \\60.7 = 29.7 \times 3.7s \\ 60.7 - 29.7 = 3.7s \\ 31 = 3.7s \\ \frac{31}{3.7} = \frac{3.7s}{3.7} \\ s = 8.4m[/tex]
Four different blocks are resting on the floor. They each have a different mass, and they are each made of a different material, so the coefficients of friction are not the same. Using the information in the table below, rank, from highest to lowest, the magnitude of the maximum horizontal force
Answers
To answer this question, it is necessary to apply the static condition from Newton´s Laws
The solution is:
Fd > Fc > Fa > Fb
From the body free diagram, and from the second Newton´s law of movement we get:
∑ Fx = 0 F - Fr = 0 F = Fr Fr = μ×N
∑ Fy = 0 N = m×g ⇒ Therefore Fr = μ×m×g
F = μ×m×g g is the same in all the cases, then we just compare the products μ×m
So when F is just greater than Fr, the body will start moving
we make a table, with values from the information table.
1.- μ×m = 0.5× 40 = 20
2.-μ×m = 0.4× 80 = 16
3.- μ×m = 0.7× 30 = 21
4.- μ×m = 0.9× 35 = 31.5
According to the table, from highest to lowest the magnitude of the horizontal force is:
Fd > Fc > Fa > Fb
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A person travels 350 km at an average speed of 60 km/hr. How long did it take?
Answers
Answer: 5.8 hours
Explanation:
Time= distance divided by speed, so:
350 divided by 60= 5.8 hours
a spacecraft that seems to be motionless in deep space is given some type of quick push. which statement describes what will happen?
Answers
An applied force applied causes a body such as the spacecraft to move. The magnitude of the force determines the change in the velocity
What will happen to the spacecraft is given by option C. from among the possible question options.
C. The spacecraft will begin to move and it will continue moving until it is stopped by an equal and opposite force
Reason:
The possible question options obtained from a similar question includes;
A. The spacecraft will move for some time then stop slowly
B. Air resistance will prevent the spacecraft from moving
C. The spacecraft will begin to move and the motion will continue until a force equal and opposite to the applied force stops it
D. The quick push will not cause the spacecraft to move, as a quick push works on Earth only
The state of the space craft = Motionless
Location of the spacecraft = Deep space
Type of force applied = Quick push
The statement that describes what will happen = Required
Solution;
Let F, represent the force applied, and let Δt be the duration of the applied force, we have;
The impulse of the force, F × Δt = m·(v₂ - v₁)
Where;
m = The mass of the spacecraft
v₁ = The initial velocity of the spacecraft = 0
v₂ = Final velocity of the spacecraft
Plugging in v₁ = 0, gives;
F × Δt = m·v₂
The space craft is given a velocity, v₂, and according to Newton's First Law of Motion, it continues moving in a straight line until another force acts on it
Therefore, the correct option is option C. The spacecraft will begin to move and the motion will continue until it is stopped by an equal and opposite force
Learn more about Newton's First Law of Motion here:
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The answer is 84N, but what is the mass and weight calculation?
Answers
Answer:
weight= density ×volume× 9.8
mass=density×volume
Explanation:
[tex]weight = 0.12 \times 0.04 \times 0.04 \times 3.14 \times 13600 \\ \times 9.8 = 80.351 \: n \\ \\ mass = 0.12 \times 0.04 \times 0.4 \times 3.14 \times 13600 = \\ = 8.199 \: kg[/tex]
farmer joe drives a tractor for 4 hours. his tractor is pulling a heavy plow across a rocky field. over the course of 4 hours, is the plow gaining or losing energy?
Answers
Over the course of the 4 hours for which farmer Joe's tractor is pulling the heavy plow, the plow is gaining energy by virtue of its displacement --termed the Kinetic energy.
According to the question, Farmer Joe drives the tractor for 4 hours.
However, the tractor is connected to a heavy plow and is used to pull the plow across a rocky field.
The question requires that we determine if the plow is gaining or losing energy.
In the plow's state of rest, prior to when it is connected to the tractor and pulled by the tractor; the plow possess a form of energy by virtue of its position termed the Potential energy.However, the focus of the question is during the pulling action of the tractor on the plow.
As such, the plow now has a kinetic energy by virtue of its displacement..Ultimately, the plow is gaining energy as it is being pulled by the tractor and now has Kinetic energy.
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Sound is caused by:
Air
Electricity
Force
Vibrations
Answers
sound is caused by vibrations
Answer:
Vibrations
Explanation:
Sounds are produced by vibrations.
Sound travels as waves, which in turn create other particles to vibrate creating vibrating particles and change sound.
Sound waves are reflected by surfaces.
what is the difference between true north and magnetic north called?
Answers
true North is fixed point on the globe
magnetic North is the direction that a compass needle points to as it aligns with the earths magnetic field and what is interesting is that the magnetic North pole shifts and changes over time in response to change in the earth's magnetic core
