A rocket travels vertically at a speed of 1200 km/h. The rocket is tracked through a telescope by an observer located 16km from the launching pad. Find the rate at which the angle between the telescope and the ground is increasing 3 min after lift-off. Round your answer to the nearest hundredth rad/hr

Answers

Answer 1

Answer:

w = 0.01 t⁻²   rad/h

Explanation:

Let's use trigonometry to find the elevation angle of the telescope, we assume that the rocket remains fixed in the telescope.

        tan θ = CO / CA

the adjacent leg is CA = 16 km = 16 10³ m

Let's use kinematics to find the height of the rocket

          v = y / t

          y = v t

this height is equal to the opposite leg

          CO = v t

     

we substitute

         tan θ = vt / 16

         tan θ = 1200/16 t

         tan θ = 75 t

         θ = tan⁻¹ ( 75 t )

speed is defined by

          w = dθ/dt

          w = [tex]\frac{1}{1 + (75 t)^2} \ 75[/tex]  

         

as time increases we can neglect the 1 of the denominator

          w = 1/75 t²

          w = 0.0133 t⁻²

Using three significant figures

           w = 0.01 t⁻²   rad/h

for this answer the time must be given in hours


Related Questions

I have possess'd your grace of what I purpose:And by our holy Sabbath have I swornTo have the due and forfeit of my bond.If you deny it, let the danger lightUpon your charter and your city's freedom !You'll ask me, why I rather choose to haveA weight of carrion flesh than to receiveThree thousand ducats : I'll not answer that:But, say, it is my humour(1) Whom are these lines addressed to? What is the context in which theselines are spoken?(ii) What has Shylock sworn on oath ?​

Answers

Answer:

1. These lines are addressed to Duke.

2. These lines show that Shylock is not willing to forgive the debt a merchant owes him, nor is he willing to justify why he demands that debt be paid, even if it seems cruel.

3. He swore by the Holy Sabbath, which is a holy day for him, who is a Jew. He swore he would get the debt money or a piece of the debtor's flesh.

Explanation:

The lines shown in the question above refer to "The Merchant of Venice" written by Shakespeare. In this story we are introduced to Antonio, a commercial who is very prejudiced against Jews, but when he needs money, he borrows from another merchant, Shylock, who is Jewish. Shylock agrees to lend money to Antonio, but determines the date that this money must be returned, in addition, Shylock states that he will lend the money if Antonio agrees that if this money is not paid by the specified date, Antonio will have to pay with half a kilo of flesh from his own body. Antonio agrees, but doesn't pay the money so Shylock goes after the flesh of Antonio's body and Duke tries to intervene because he thinks this is too cruel. At this point, Shylock speaks the lines shown in the question above, showing that he is not willing to change his mind.

health ,population and environment education is for the enrichment of quality of life,justify the statement​

Answers

Answer:

hey !! here is a short and sweet answer to your question

=quality of life is directly determined by health ,education ,and life expectacy

=health Is a type of thing that gives employment to the person working in firm

hope u understand

Explanation:

My second question for today :
Why do we ever have a blood moon?? What's the science behind it​

Answers

Answer:

vhijko and eye rudiieidjdjddjjd

Explanation:

jdjdjdjdjfjofkd ruudoeksowkosksd and nkdeondjvndkxnfuvjfk

If a lawn mower is pushed with a distance of 30 meters and 12N-m of work is exerted, calculate the force.

Answers

Answer:

Explanation:

W = FΔx so filling in:

12 = F(30) so

F = .4N

A 0.080-kg egg test dummy is fitted with a helmet and attached to a swing. This egg test dummy is pulled back and released, allowing it to collide with a cement block. The impulse on the egg test dummy is - 0.39N.s is over an interval of 0.050 s. What is the magnitude of the force on the egg test dummy during this time interval?

Answers

Answer:

7.8 N

Explanation:

Applying,

I = Ft................. Eqaution 1

Where I = Impulse on the egg test dummy, F = Force on the egg test dummy during the time interval, t = time interval

make F the subject of the equation

F = I/t.................. Equation 2

From the question,

Given: T = -0.39 N.s, t = 0.050 s

Substitute these vales into equation 2

F = -0.39/0.050

F = -7.8 N

Hence the force that act on the egg test dummy is 7.8 N

Impulse can be defined as

The frequency at which something occurs

The change in velocity

The change in momentum from an force within the system

The change in momentum from a force outside of the system

Answers

Explanation:

The change in momentum from an force within the system.

I think its D. The change in momentum from a force outside of the system

If Cl− is the only anion in the solution, what is the Cl− concentration in milliequivalents per liter?

Answers

Answer:

155mEq/L Cl-

Explanation:

A Ringer’s solution contains the following concentrations of cations: 146 mEq/L of Na+, 5 mEq/L of K+, and 4 mEq/L of Ca2+.

As Cl- is the only counterion of those cations:

For Na, the molecule is NaCl and the mEq/L of Cl- = mEq of Na+. The Cl- of the first ion is 146mEq/L Cl-

For K+, The molecule is KCl, mEq Cl- = 5mEq/L Cl-

And, for Ca2+, The molecule is CaCl2 but the equivalents of Ca2+ = Equivalents of Cl- = 4mEq/L Cl-

The total concentration of Cl- are:

146 + 5 + 4 =

155mEq/L Cl-

Can the magnitude of a vector ever (a) be equal to one of its components, or (b) be less than one of its components? 9. Can a particle with constant speed be accelerating? What if it has constant velocity? ​

Answers

Answer:

a) the other components are zero, in the direction of one of the coordinate axes

b) the magnitude is less than the value of one of its components, it must occur when the vector is in some arbitrary direction

9) constant velocity the acceleration must necessarily be zero,

constant speed  can be accelerated since it may be changing the direction of the velocity vector

Explanation:

Vectors are quantities that have modulo (scalar) direction and sense.

a)  If in a vector its magnitude is equal to one d its components implies that the other components are zero, therefore the vector must be in the direction of one of the coordinate axes

b) if the magnitude is less than the value of one of its components, it must occur when the vector is in some arbitrary direction, other than the direction of the axes, that is

          R² = x² + y²

where R is the magnitude of the vector e x, and are the components

9) When a particle has a constant velocity, the acceleration must necessarily be zero,

         v = vo + a t

The bold letters indicate vectors If a = 0 implies that v = vo

If a particle has constant speed it can be accelerated since it may be changing the direction of the velocity vector, this type of acceleration has the name of centripetal acceleration

If we go on the top of the Mountain we will our weight increase or decrease?​

Answers

Answer:

increase

Explanation:

guesshejwoowsnnsnakalalapqjhdjd

Answer:

our weight would decrease.

Explanation:

because of you burning all those calories and fat from hiking up the mountain.

Does anyone know the answer ? I forgot my calculator.


12 x sin50

Answers

12 × sin50 = 9.192533317........

Raquel establece que la rapidez del sonido en el aire en un día es de 346 m/s . Días después hace la misma medición obteniendo una rapidez de 340 m/ s . ¿Cuál será la temperatura del aire en cada día?

Answers

Answer:

La ecuación para la velodiad del sonido en aire esta dada por:

[tex]v = \sqrt{ \frac{\gamma*R*T}{M} }[/tex]

Resolviendo esto para T, obtenemos:

[tex]T = v^2*(\frac{M}{\gamma*R} )[/tex]

donde:

T = temperatura del aire en grados Kelvin

γ = constante adiabatica = 1.4

R = constante del gas ideal =

M = masa molar del aire = 29*10^(-3) kg/mol

Si sabemos que el primer día la velocidad es 346 m/s, tenemos:

v = 346 m/s

Ahora podemos reemplazar todos esos valores en la ecuación para T, y asi obtener:

[tex]T = (346m/s)^2*(\frac{29*10^{-3}kg/mol}{1.4* 8.31 J/mol*K} ) = 298.42 K[/tex]

Para el segundo día la velocidad es 340 m/s, entonces ese día la temperatura va a ser:

[tex]T = (340m/s)^2*(\frac{29*10^{-3}kg/mol}{1.4* 8.31 J/mol*K} ) = 288.16 K[/tex]

The acidity model given by pH = -log10[H+] where acidity (pH) is a measure of the hydrogen ion concentration [H+] (measured in moles of hydrogen per liter) of a solution. Using this model, determine the pH of a solution with a hydrogen ion concentration of 2.3 X 10^-5 (round your answer to the nearest hundredth)

Answers

Answer:

Hydrogen ion concentration, [H+] :

[tex]{ \bf{[H {}^{ + } ] = 2.3 \times {10}^{ - 5} \: mol \: l {}^{ - 1} }}[/tex]

Substitute to the negative logarithmic model:

[tex] = { \tt{ - log(2.3 \times {10}^{ - 5} ) }} \\ pH = 4.64[/tex]

List out the fundamental and derived units​

Answers

Derived Units Table: The Table Shows the List of Derived Units
Quantity Formula SI Derived Unit
Force Mass x Acceleration
Work Energy Force x Displacement Power/Time Kg. m.s-2
Pressure, Stress Force/Area Kg.m-1.s-2
Current density J = I/A A.m-2

can u guys help me with this question.

State one example of the cause of a short circuit. Explain your answer​

Answers

Answer:

the positive and negative terminals of a battery are connected with a low resistance conductor.

tìm chỉ số của A1 và A2

Answers

Answer:

A1

Explanation:

The moon is 250,000 miles away. How many feet is it from Earth? (dimensional analysis)

Answers

Answer:

1.261 billion

Explanation:The distance between the earth and the moon in miles is 250,000,so in feet,The distance is 1.261 billion

57. A red ball (m= 10 kg) is moving at 3 m/s. A green ball (m = 8 kg) is moving at 3.5 m/s. Which ball has more
energy and by how much (2)

Answers

Answer:

the green ball has 4J more energy

Explanation:

The kinetic energy is given by the formula

K = 0.5 m v^2

the kinetic energy of the red ball:

K(red) = 0.5*10*3^2= 45J

of the green ball:

K(green)=0.5*8*3.5^2 = 49J

therefore the green ball has more energy by 4 Joules

Which statement should he place in the region marked X?

Answers

Explanation:

The answer is Electrons move between objects.

write any two features of capital​

Answers

Capital has several important characteristics that are as follows:
Capital is a Passive Factor.
Capital is Man-Made.
Capital is not Indispensable.
Capital has high mobility.
Capital is Elastic.
Capital Depreciates.
Capital is Productive.
Capital is Temporary in Nature.

Which of the following describes a sound wave?
A. Longitudinal wave that does not require a medium
c
B. Longitudinal wave that requires a medium
C. Transverse wave that does not require a medium
D. Transverse wave that requires a medium

Answers

The correct answer is B, sound waves are longitudinal with a medium

Chỉ ra kết luận đúng trong các kết luận sau:



A.
Chỉ có các hạt mang điện tích dương chuyển động có hướng mới tạo ra dòng điện.

B.
Chỉ có các hạt mang điện tích âm chuyển động có hướng mới tạo ra dòng điện.

C.
Khi nguyên tử chuyển động có hướng thì xuất hiện dòng điện.

D.
Các dụng cụ điện sẽ hoạt động khi có dòng điện chạy qua.

Answers

it should be c! hope this helps

An unbalanced 6.0-newton force acts eastward on an object for 3.0 seconds. The impulse
produced by the force is
18 N:s east
2 Nós east
18 N:s west
2 Nis west

Answers

c. 18 N:s West ksmxmak kxkammxj kan

In a democracy how is rule of law regarded

Answers

Answer:

It is respected as leaders are accountable to the people. The rule of law within a democratic country will dictate what actions is considered wrong and punishable to do in that country. This will prevent people from harming and violating each other to get what they want and form a stable and safe society

a uniform meter ruler is balanced at its midpoint

Answers

Answer:

a) i) x = 0.25 m, ii) x = 0.10 m, iii)  x = 0.050 m

b) i)  x = 0.40 m

Explanation:

a) For this exercise we use the rotational equilibrium equation, where we assume that the anticlockwise rotations are positive.

1) L = 2W  

we set our reference system in the center of the bar where the fulcrum is

              ∑τ = 0

              W 0.50 - L x = 0

              x = 0.50 W / L

we substitute the value

              x = 0.50 W / 2W

              x = 0.25 m

ii) L = 5W

we calculate

              x = 0.50 W / 5W

              x = 0.10 m

iii) L = 10 W

               x = 0.50 W / 10W

              x = 0.050 m

b) a new weight is placed at x₂ = 30 cm on the left side

              W 0.50 + W 0.30 - L x = 0

              x = (0.50 + 0.30) W / L

              x = 0.80 W / L

we calculate

i)  L = 2W

                x = 0.80 w / 2w

                x = 0.40 m

A cricket player lowers his hands while catching the ball. wny?​

Answers

because maybe the ball was going downwards or he was getting ready to catch the ball. one of those 2.

2 What are(i) free fall , (ii) acceleration due to gravity, (iii) escape velocity , (iv) centripetal force?​

Answers

Answer:

Explanation:

1. Free fall implies an object falling under the gravitational influence only. During the flight, no other force acts on it except the gravitational pull.

2. Acceleration due to gravity is the earth's natural force of pull on all objects on its surface, close to its surface, or in the region where the force can be felt. This force pulls object to the surface of the earth.

3. Escape velocity is the required minimum velocity for an object to leave the gravitational influence of the earth. It has a constant value which can be determined by;

Escape velocity = [tex]\sqrt{2gR}[/tex]

where g is the gravitation force of the earth and R is the radius of the earth.

4. Centripetal force is the force of pull that is required to keep a rotation object in its curved path.

Compared with dim light, what do light waves that look bright tend to have the subject just says science but the picker doesn't have that

Answers

Answer:

The brightness of a light depends on the amplitude of the light wave, which is the extent the waves moves from their equilibrium position. The brightness is also related to the amount of light that is emitted or reflected by an object

Therefore, compared to dim light, light that look bright have a higher amplitude and emit or reflect more light energy (photons)

Explanation:

An egg is dropped onto a wood floor and breaks. When a different egg (same mass) is dropped the same distance onto a foam pad on the wood floor, it does not break. Why (in terms of physics) does this happen?
A. The pad extends the time so the impulse changes.
B. An egg requires a harder surface so it won’t break.
C. The pad pulls the egg to the floor.
D. Wood is harder than the pad.

Answers

Answer:

A.

Explanation:

The pad extends the time so the impulse changes.

Answer:

A. The pad extends the time so the impulse changes

Explanation:

in term of physics it has same mass:)

49. A block is pushed across a horizontal surface with a
coefficient of kinetic friction of 0.15 by applying a
150 N horizontal force.
(a) The block accelerates at the rate of 2.53 m/s2
Find the mass of the block.

(b) The block slides across a new surface while
experiencing the same applied force as before.
The block now moves with a constant speed.
What is the coefficient of kinetic friction between
the block and the new surface?

Answers

Answer:

(a) 37.5 kg

(b) 4

Explanation:

Force, F = 150 N

kinetic friction coefficient = 0.15

(a) acceleration, a = 2.53 m/s^2

According to the newton's second law

Net force = mass x acceleration

F - friction force = m a

150 - 0.15 x m g = m a

150 = m (2.53 + 0.15 x 9.8)

m = 37.5 kg

(b) As the block moves with the constant speed so the applied force becomes the friction force.

[tex]F = \mu m g \\\\150 = \mu\times 37.5\\\\\mu = 4[/tex]

The summer camps had a field trip from the campus to Fragrance Hill. They traveled at an average speed of 65 km/h in the first 2 hours. After that, traveled at another average speed of 78 km/h. If the distance between the campus and Fragrance Hill is 364 km, what was the total time for the field trip?

Answers

Answer:

Explanation:

They traveled this distance in 2 parts, essentially. Part 1 had an average speed for a certain number of hours, part 2 had an average speed for a certain number of hours, and those 2 parts taken together took them a distance of 364 km. In equation form, that looks like this:

km/hr part 1 + km/hr part 2 = 364 km

Now we need to find each part on the left side of that equation. Part 1 first:

We traveled 65 km/hr for 2 hours, so that took us

[tex]65\frac{km}{hr}*2hr[/tex] and canceling out the hour label, we have that in part 1 we got

65(2) = 130 km. Good. Now onto the second part, where our unknown is.

We traveled 78 km/hr the second part for x hours, so that took us

[tex]78\frac{km}{hr}*xhr[/tex] and canceling out the hour label, we have that in part 2 we got

78x km. Now we can fill in the main equation (the one in bold print)

130 km + 78x km = 364 km and subtracting 130 km from both sides:

78x km = 234 km and dividing by 78 km:

x = 3 hours. Part 2 took 3 hours. Part 1 took 2 hours, so the whole trip took 5 hours.

Other Questions
consider the following thermochemical reaction for kerosene 2C12H26+37O2=24CO2+15026kj. a. when 21.3g of CO2 are made, how much heat is released?b. if 500.00kj of heat are released by thye reaction, how many grams of C12H26 have been consumed.?c. if this reactionwere being used to generate heat, how many grams of C12H26 would have to be reacted to generate enough heat to raise the temperature of 750g of liquid water from 10 degrees celcius to 90 degrees celcius Civil DisobediencePart 2:Thoreaus ideas had a profound effect on a man named Gandhi. Gandhi, was a leader in India who worked to end British rule. He led India to independence and inspired many to non-violent forms of protest and resistance. He fought to end poverty, worked to expand women's right to vote, and built bridges between ethnic and religious groups. Like Thoreau, he lived simply, owned very little, and ate a vegetarian diet. In India, Gandhi's form of protest was called the "non-cooperation movement." He urged Indians to boycott British education systems and leave government jobs. The movement was very popular, and in part to stop its spread, the British controlled government arrested him. After a few years, he was released and became active in politics again. He inspired many to follow him on marches to protest various taxes. On one such march, thousands followed him 240 miles over 24 days to the sea to protest a salt tax. This march set the example of non-violent resistance to the government that others in the country followed. Eventually India won independence from Britain, in large part because of Gandhi work.Gandhi's model of resistance and reform was creative, appealing, and successful. As a result, Dr. Martin Luther King looked to Gandhi when the time came to find a way to resist segregation in the South. The lunch counter protests, famous for the passive response to anger, and even violence, aimed to end the separation enforced by laws in some regions of the South. King also organized walks, marches, and bus rides that were meant to bring attention to the issues facing African Americans. These forms of protest were directly modeled on Gandhi's, but King took them straight to the source of oppression. Where Gandhi's protests created awareness and built momentum, King's protests were in the face of great hatred and fear. The passive, non-violent protests were ultimately effective, mainly because the passive response to violence cast the opposition as brutes. However, change came slowly and at the cost of many lives. King remained committed to peaceful protest, however, until his death. King learned from Gandhi, expanding on what worked, applying old techniques to a new problem. Gandhi owed his philosophy, in part, to a New England poet who loved the woods.Based on the bolded paragraph, which line shows the success of Gandhi work? Eventually India won independence from Britain, in large part because of Gandhi work. After a few years, he was released and became active in politics again. thousands followed him 240 miles over 24 days to the sea to protest a salt tax. Like Thoreau, he lived simply, owned very little, and ate a vegetarian diet. A student observes that an organism is green a valid conclusion that can be drawn from this observation is that please help me!! how many times does 10% go into 34,950,101? A lawyer commutes daily from his suburban home to his midtown office. The average time for a one-way trip is 24 minutes, with a standard deviation of 3.8 minutes. Assume the distribution of trip times to be normally distributed. (a) What is the probability that a trip will take at least hour?(b) If the office opens at 9:00 A.M. and he leaves his house at 8:45 A.M. daily, what percentage of the time is he late for work?(c) If he leaves the house at 8:35 A.M. and coffee is served at the office from 8:50 A.M. until 9:00 A.M., what is the probability that he misses coffee?(d) Find the length of time above which we find the slowest 10% of trips.(e) Find the probability that 2 of the next 3 trips will take at least one half1/2 hour. I need help this is confusing to me The market for fertilizer is perfectly competitive. Firms in the market are producing output but are currently making economic losses. Which of the following statements is true about the price of fertilizer? Check all that apply. The price of fertilizer must be greater than average total cost. The price of fertilizer must be greater than average variable cost. The price of fertilizer must be greater than marginal cost. are big business /monopoliws good for society or bad and why A student was given a solid containing a mixture of nitrate salts. The sample completely dissolved in water, and upon addition of dilute HCl , no precipitate formed. The pH was lowered to about 1 and H2S was bubbled through the solution. No precipitate formed. The pH was adjusted to 8 and H2S was again bubbled in. This time, a precipitate formed. Which compounds might have been present in the unknown?a. Ca(NO3)2b. AgNO3c. Fe(NO3)3d. Cr(NO3)3e. Cu(NO3)2f. KNO3g. Bi(NO3)2 b. Projectile on cliff (range)An object of mass 5 kg is projected at an angle of 25 to the horizontal with a speed of 22 ms-1 from the top of the cliff.The height of the cliff is 21 m. Take g, the acceleration due to gravity, to be 9.81 ms2How far horizontally (to 1 decimal place) from the base of the cliff does the object land? Solve for the unknown variable4y-2=8-2y+4y y=? what the difference between financial and finance ? Consider the graph below, and identify the piecewise function that describes it. convert 72 into grades. Que verbo traduce la frase what do we call a person writes novels? At year-end (December 31), Chan Company estimates its bad debts as 0.30% of its annual credit sales of $896,000. Chan records its Bad Debts Expense for that estimate. On the following February 1, Chan decides that the $448 account of P. Park is uncollectible and writes it off as a bad debt. On June 5, Park unexpectedly pays the amount previously written off. Prepare Chan's journal entries for the transactions. ask your parents about renowned person of your locality.collect as much information about him or her and write them in chronological order.after that write the short biography of that person Using your answers from part C, complete the chemical formula of each compound. If the number of ions is 1, leave thatnumber out of the formula.Drag each number to the correct location. Numbers may be used more than once A.The (sight/ site) of food made our mouth waters.B. The tailor will have to (altar/alter) the dress.