...............................................................help

...............................................................help

Answers

Answer 1

Answer:

The maximum height that a cannonball fired at 420 m/s at a 53.0° angles is 5740.48m.

hmax = 5740.48 m

Explanation:

This is an example of parabolic launch. A cannonball is fired on flat ground at 420 m/s at a 53.0° angle and we have to calculate the maximum height that it reach.

V₀ = 420m/s and θ₀ = 53.0°

So, when the cannonball is fired it has horizontal and vertical components:

V₀ₓ = V₀ cos θ₀ = (420m/s)(cos 53°) = 252.76 m/s

V₀y = V₀ cos θ₀ = (420m/s)(cos 53°) = 335.43m/s

When the cannoball reach the maximum height the vertical velocity component is zero, that happens in a tₐ time:

Vy = V₀y - g tₐ = 0

tₐ = V₀y/g

tₐ = (335.43m/s)/(9.8m/s²) = 34.23s

Then, the maximum height is reached in the instant tₐ = 34.23s:

h = V₀y tₐ - 1/2g tₐ²

hmax = (335.43m/s)(34.23s)-1/2(9.8m/s²)(34.23s)²

hmax = 11481.77m - 5741.29m

hmax = 5740.48m


Related Questions

A 4400 W motor is used to do work. If the motor is used for 200 s, how much work could it do? (Power: P = W/t) 22 J 4200 J 4600 J 880,000 J

Answers

Answer:

880,000 J

Explanation:

P = W/t

4400 W = W / 200 s

W = 880,000 J

Answer:

880,000 J

Explanation:

I NEED HELP PLEASE, THANKS :) What does it mean when white light is diffracted and at a particular location the color seen is blue?

Answers

Answer:

This is because white light consists of 7 colours with different angles o deviation or retraction.

Explanation:

When a narrow beam of light is refracted by a prism the light spreads into a band of colours (called the spectrum of light )

But in this case if a blue colour is observed it is due to the angle of refraction ,for instance red is refracted the least and hence is seen

Answer:

When while light is diffracted and at a particular location blue color is seen, this means that blue color is reflected while all other colors will be absorbed. When the blue color is seen denotes the shortest wavelength being reflected and all other being absorbed at the specified location.


Which property of argon is used in light bulbs?

Answers

Answer:

Argon belongs to zero group, i.e., is a noble gas and thus is inert. Hence it will not react with the hot filaments. Hence it is used in fluorescent and incandescent light bulbs to stop the oxygen in the light bulbs from corroding the hot tungsten filament.

Explanation:

Indicar verdadero (V) o falso (F) con respecto al movimiento parabólico : la componente horizontal de la velocidad permanece constante. ( ) la componente vertical de la velocidad puede ser nula en un instante. ( )  La velocidad en todo momento es tangente a la trayectoria. ( )

Answers

Answer:

a) true, b) true, c) false

Explanation:

Este ejercicio de cinemática se pide revisar varias afirmaciones

a) Cierta.  La velocidad horizontales consta

b) cierto.  La velocidad vertical disminuye hasta llegar a cero en su altura máxima, la aceleración es negativa

C) False.   Si la velocidad es tangente a la trayectoria el movimiento debe ser circular, pero este movimiento es parabólico

Traduction

This exercise in kinematics asks you to review several statements

a) true. The horizontal speed consists

b) true. The vertical speed decreases until it reaches zero at its maximum height, the acceleration is negative

C) False. If the speed is tangent to the path, the movement must be circular, but this movement is parabolic.

With respect to parabolic motion:

the horizontal component of the velocity remains constant is Truethe vertical component of the velocity can be null in an instant is True since the velocity changes with time due to gravitation acceleration. At the highest point of the projectile trajectory, the vertical velocity becomes zero.Speed at all times is tangent to the trajectory is True. The parabolic path of the trajectory is because of the changing vertical velocity.

Con respecto al movimiento parabólico:

La componente horizontal de la velocidad permanece constante es True la componente vertical de la velocidad puede ser nula en un instante es True ya que la componente vertical de la velocidad cambia con el tiempo debido a la aceleración de la gravitación. En el punto más alto de la trayectoria del proyectil, la velocidad vertical se vuelve cero. La velocidad en todo momento es tangente a la trayectoria es Verdadera. La trayectoria parabólica de la trayectoria se debe a la velocidad vertical cambiante.

Learn more about Parabolic motion:

https://brainly.com/question/4450437

a loop with a break in it that prevents current form flowing is called a(n) blank circuit

Answers

Answer: it is called a open circuit

Explanation:

A ray diagram is shown what does the letter x represent?

Answers

Answer: angle of incidence

Answer:

A) angle of incidence

Explanation:

A ball is thrown at a wall with a velocity of 5 m/s and bounces off at 4 m/s as shown in the diagram. If the impulse provided by the wall is 3 Nm, then what is the mass of the ball?

Answers

Answer:

m = 3 kg

Explanation:

It is given that,

Initial speed of a ball is 5 m/s, u = 5 m/s

Final speed of a ball is 4 m/s, v = 4 m/s (as it bounces)

Impulse provided by the wall is -3 N-m (impulse is provided in opposite direction)

We need to find the mass of the ball. Impulse provided to an object is given by the change in its momentum as :

J = m(v-u)

m is mass of the ball

[tex]m=\dfrac{J}{(v-u)}\\\\m=\dfrac{-3}{(4-5)} \\\\m=3\ kg[/tex]

So, the mass of the ball is 3 kg.

What are the four main reasons as to why, despite having an abundance of minerals and natural resources, Pakistan has been unable to realize its potential and has not been able to succeed like other countries having similar resources?



please answer me I am so much worry I will mark you as brainy and follow you also​

Answers

Answer:

GDP growth rate is low

Political instability

Lack of technical skills due to low literacy rate

Pressure from neighboring countries

Explanation:

Gross Domestic Product growth rate of Pakistan is much lower than many developed countries. The GDP growth rate for Pakistan is nearly 5% which is not even stable and it variate from plans. Due to which Pakistan is unable to use its available resources to the fullest. Also one of major issue is political instability in the country. After the loss of great leader Quaid e Azam Pakistan has not faced any loyal leader till date.

Noise pollution, health issues, lack of provision of basic necessities to many are few other factors which give rise to poor law and order situation in the country. Lack of availability of heavy machinery and poor infrastructure has contributed to the country decline. There is abundance of natural resources in the country but due to these issues the country is unable to deal with the challenges.

The pressures from neighboring countries have made the situation even worst. The heavy loan burden is restricting the country from development. The covenants imposed by the lenders have limited the country's ability to use its natural resources and become stable.

Las esferas metálicas que se muestran en la figura se cargan con 1C cada una. La balanza se equilibra al situar el contrapeso a una distancia x del eje Se pone una tercera esfera a una distancia 2d por debajo de a esfera A y cargada con -2C. Para equilibrar la balanza se debe mover el contrapeso a la derecha, porque?

Answers

Answer:

this relationship to be true the value  x ’must be positive, so it must move to the right.

Explanation:

En este ejercicio debemos utilizar la relacion de equilibrio rotacional.

Fijemos un sistema de referencia situado en el eje de jiro del sistema y la rotación antihoraria es positiva.

Las esferas estan a la izquierda y el contrapeso ala derecha

                W d = w_contrapeso  x

donde W es el peso de las esferas de d su distancia hasta eleje de giro

Ahora colocamos la carga negativa debajo de la esfera A, como las cargas son de diferente signo  las dos esferas se atraen, lo que crea una fuerza hacia bajos de magnitud

       F =k q₁ q₂/r²

       F =8,9 10⁹  1 2/ (2d)²

       F = 4,45/d²  N

volvamos escribir la ecuación de equilibrio rotacional con esta fuerza

          F d + W d = W_contrapeso (x+x’)

          (4,45 10⁹ /d²) d + W d = W_conrapeso x+ W contrapesos x’

en la primera ecuación vimos que  dos terminos se igualan ,por lo cual se anulan quedando  

          4,45 10⁹/d = W contrapeso x’

para que esta relación sea cierta el valor e x’ debe ser positivo, por lo cual debe moverse a la derecha.  

Traduction

In this exercise we must use the relationship of rotational equilibrium.

Let's fix a frame of reference located on the system's axis of rotation and the counterclockwise rotation is positive.

The spheres are on the left and the counterweight on the right

                W d = w_counterweight x

where W is the weight of the spheres of d its distance to the turning axis

Now we place the negative charge under sphere A, as the charges are of different sign the two spheres attract, which creates a downward force of magnitude

       F = k q₁ q₂ / r²

       F = 8.9 10⁹ 1  2 / (2d)²

       F = 4.45 / d² N

let's rewrite the rotational equilibrium equation with this force

          F d + W d = W_ counterweight (x + x ’)

          (4.45 10⁹ / d²) d + W d = W_counterweight x + W counterweights x’

In the first equation we saw that two tenunos are equal, which is why they cancel, leaving

          4.45 10⁹ / d = W counterweight  x ’

for this relationship to be true the value  x ’must be positive, so it must move to the right.

What type of bond is most likely to form between atoms of the same element when the element is a metal?​

Answers

Answer:Covalent bond

Explanation:

What happens to the Kinetic Energy of an object if its mass stays the same but its speed is doubled

Answers

If the mass of a moving object was doubled, but its speed remained the same, the kinetic energy of the object would change by a factor of a. 1/4. Hope this helps

Answer:

kinetic energy is proportional to the velocity squared, increases in velocity will have an exponentially greater effect on translational kinetic energy. Doubling the mass of an object will only double its kinetic energy, but doubling the velocity of the object will quadruple its velocity.

pls mark as branliest

Garret, Melody and Tony start their school day with brand new pencils. By the end of the day, they want to see who used his or her pencil the most. They decide that the shortest pencil will be the most used, and the longest pencil would be the least used. How should the students determine which pencil was used the most?

Answers

HELLO MATE

HERE IS YOUR ANSWER

THEY SHOULD COMPARE THE LENGTH OF PENCILS WITH EACH OTHER .

HOPE IT HELPS.

PLEASE MARK AS BRAINLIEST AND FOLLOW ME ......


All matter is made up of________ called atoms or molecules


Answers

Energy hope it helps
Energy

Hope it helps you

Calculate the volume of the part of the sphere that will be immersed in the mercury when the density of the sphere is 7800kg/metre cubic and volume of 136centrimetre cubic and the density of the mercury is 13600kg/metre cubic

Answers

Answer:

78 cm³

Explanation:

The Volume Immersed = (density of object/ density of fluid) x Volume of Object

Vi = (7800/13600) x 136 = 78 cm³

I NEED HELP PLEASE, THANKS! Describe each Newton Law. :)

Answers

Explanation:

1st- states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. 

2nd- states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it. (most important law)

3rd- states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. (law of action/reaction)

A right triangle ABC has sides /AB/ =9cm, /BC/=12cm find /AC/ and angles ACB and ABC if angle BAC= 90°​

Answers

fdi9bn 08989089089008i uuuuuuri9ij

e)
The surface area of foot of Bimaba is 150cm? If she weighs 50kg,
how much pressure does she exert on the ground, as she stands on
her one foot? (32666.67 pa)​

Answers

Answer:

Pressure, P = 32666.66 Pa

Explanation:

It is given that,

Surface area of foot of Bimaba is 150 cm² or 0.015 m².

Her weight is 50 kg

We need to find the pressure does she exert on the ground, as she stands on  her one foot. The force acting per unit area is called pressure. It can be given by :

[tex]P=\dfrac{F}{A}\\\\P=\dfrac{mg}{A}\\\\P=\dfrac{50\times 9.8}{0.015}\\\\P=32666.66\ Pa[/tex]

So, the pressure is 32666.66 Pa.

To which category does galaxy #4 belong? Why does it belong in this category?

Answers

Answer:

The Galaxy IV satellite belongs to the HS-601 model category. It was engineered by Hughes Space and Communications Company (HSC)

Explanation:

The Galaxy IV belong in this category because it is a communications satellite. It was built for direct television broadcasting, for private business networks and mobile communications.

Cheers!

Si observamos un incremento de temperatura en un termómetro de 24 oC, ¿a cuántos grados Fahrenheit corresponde dicho incremento? ¿Y si el incremento de temperatura fuese de 24 K?

Answers

Responder:

24 ° C = 75.2 ° F 24K = -416.47 ° F

Explicación:

La fórmula se utiliza para convertir grados Celsius (° C) en grados Fahrenheit (° F).

x ° C = (y ° F - 32) × 5/9.

Convertir 24 ° C a Fahrenheit

24 = (y ° F - 32) × 5/9.

24 * 9 = 5 (y ° F-32)

216 = 5 años ° F-160

5 ° F = 216 + 160

5 ° F = 376

y ° F = 376/5

y ° F = 75.2

24 ° C = 75.2 ° F

Para convertir Kelvin a Fahrenheit, usaremos la expresión;

(K - 273.15) × 9/5 + 32

Dado K = 24kelvin

24K a ° F = (24− 273.15) × 9/5 + 32

= -249.15 (9/5) + 32

= -448.47 + 32

= -416.47 ° F

24K = = -416.47 ° F

I NEED HELP PLEASE, THANKS! :) Why is it a good idea to touch a metal pole, or similar conductor, before filling up a car with gas?

Answers

Answer:

While filling up the gas, a static discharge can take place which is really dangerous for us. It can even ignite a fire at the gas station. Touching the metal pole or any conductor will pass all of the charge into the Earth and thus we'll keep safe.

Answer:

It is a good idea to touch a metal pole or similar conductor before filling up a car with gas because it will discharge any static electricity on you, making it safer for everyone.

Explanation:

Which property of sugar makes it different from white crystalline sand?

Answers

Answer:

The property of sugar which makes it different from sand is that sugar can dissolve in water. Explanation: however the power of dissolving of sand is not present. This is due to the presence of interaction between sugar and water.

Explanation:

I hope that was useful

Which of the following represents the equation of motion of a steel ball thrown into a viscous liquid when it is moving with an acceleration a ?(A) W-V-U=ma (B)W-U=ma-V (C)W-U-V=0 (D)U-V=W

Answers

Answer: A

Explanation: When a steel ball is thrown into a viscous liquid, three forces will act on the ball.

1.) The viscous drag force V which is acting upward

2.) The buoyant force U which is acting upward and

3.) The weight of the ball W. Which is acting downward.

When it is moving with an acceleration a, the weight W will be greater than U and V

Since Force = ma.

The resultant vector force will be

W - V - U = ma

What activity level should participants be in when exercising in their target heart rate zone

Answers

Answer:

La frecuencia cardíaca objetivo durante las actividades de intensidad moderada es aproximadamente del 50 al 70% de la frecuencia cardíaca máxima, mientras que durante la actividad física intensa es de, aproximadamente, entre el 70 y el 85% del valor máximo.

Find the average velocity if the takeoff velocity of an airplane on a runway is 300 km/hr with an acceleration of 1 m/s2 . A) 30 sec B) 41.7 sec C) 72.2 sec D) 83.33 sec

Answers

Answer:

83.33s

Explanation:

velocity=300km/hr ,acceleration =1m/s2

But before we can make this calculation,we have to make sure that both the acceleration and velocity are in the same units.So I decided to Chang the velocity to m/s.

Converting 300km/hr into m/s;

Changing 300km into m=300000m

Changing 1hr into secs=3600sec

Velocity in m/s=83.33m/s

But Time =velocity/acceleration

=83.33/1

=83.33sec

You have to decide what you want.  Your question says "Find the average velocity", but the choices you listed are all times, not velocities.

(300 km/hr) x (1 hr / 3600 sec) = 83.33 meters/sec

-- If the airplane starts from rest and accelerates uniformly at 1 m/s², it'll take 83.33 seconds to reach takeoff speed.

-- If it starts from rest and accelerates uniformly to 83.33 m/s, then its average speed is 41.67 m/s no matter what its acceleration may be.

The coldest layer of Earth’s atmosphere is the __________. a. troposphere c. mesosphere b. stratosphere d. thermosphere

Answers

Answer: c.mesosphere

Explanation: Temperatures can reach lows of -90 degrees Celsius in the mesosphere, making it the coldest layer of the earth's atmosphere. The mesosphere extends above the stratosphere and ranges from 50 km to 87 km above the surface.

Answer is C i took the test

I NEED HELP PLEASE, THANKS!
Find or draw at least two pictures that illustrates Newtons first Law. Write a paragraph describing how each of the pictures you choose illustrates the law.

Answers

Explanation:

When a person is standing still, the forces acting on them (weight force pulling down and normal force pushing up) are equal and opposite, so the net force is balanced.  So the person will continue to be at rest, unless the net force becomes unbalanced.

When a person falls with a parachute, the forces acting on them (weight force pulling down and air resistance pushing up) are equal and opposite, so the net force is balanced.  So the person will continue to fall at the same speed until the net force becomes unbalanced.

You have a graduated cylinder that you use to measure volume. The cylinder
is marked in 1 ml increments. Which measurement made using this cylinder
contains the correct number of significant digits?
A. 35.5 ml
B. 320.01 ml
C. 75.333 ml
D. 21 ml

Answers

Answer:

35.5 ml

Explanation:

The other guy made me get the question wrong lol here ya go good luck

A train starts from rest .It moves through 1km in 100s with uniform accelaration . What will be its speed at the end pf 100 s

Answers

Answer:

Explanation:

Distance = 1 km

= 1000m

Time = 100 sec

Speed = distance / time

= 1000 / 100

= 10 m/s

HELLLP PLEASE || the graph below shows a conversion of energy for a skydive jumping out of a plane and landing safely on the ground. which energy is represented by line A? A) Potential B) Thermal C) Kinetic D) Total Energy

Answers

Answer: I maybe wrong but i'm pretty sure its C) Kinetic energy

Which is an example of a fission reaction? Check all that apply.

H + H → He 2n

+

239 Pu + n + 1904 Ce + Kr + 2n

295 Am + in → 154 La + 95 Sr + 3 in

13C + H + 4N

Answers

Answer:

Check Explanation

The fission reactions include

239 Pu + n → Ce + Kr + 2n

And

295 Am + in → 154 La + 95 Sr + 3 n

Explanation:

A fission reaction is a radioactive reaction in which an atom with a heavy nuclei splits into atoms with smaller or lighter nuclei usually brought about by the attack of a fundamental particle and accompanied by the release of some fundamental particles (neutrons mostly) and energy.

Although, the reactions to be examined aren't totally clear, we can still guess which element is which and know which of the reactions has a heavier nuclei splitting into smaller ones.

1) H + H → He + 2n

Two hydrogen atoms combine to give an helium atom and release neutrons too, showing that here, smaller molecules combine to form a bigger one. Hence, this isn't a fission reaction, rather, it's a fusion reaction.

2) 239 Pu + n → Ce + Kr + 2n

Here, Pu (Plutonium, atomic mass 239), a heavy nuclei that splits into smaller nuclei, Ce (Cerium, atomic mass 140) and Kr (Krypton, atomic mass 84) together with some neutrons to fit the definition of a fission reaction. Hence, this reaction is a fission reaction.

3) 295 Am + n → 154 La + 95 Sr + 3 n

Here, Pu (Americium, atomic mass 295), a heavy nuclei that splits into smaller nuclei, Ce (Lamthanium, atomic mass 154) and Sr (Strontium, atomic mass 95) together with some neutrons to fit the definition of a fission reaction. Hence, this reaction is a fission reaction.

4) 13C + H → 14N

Carbon 13 combines with a hydrogen element to mutate and give nitrogen-14, a heavier nuclei, showing all signs of a nuclear fission and not fission.

Hope this Helps!!!

Answer:

b and c

Explanation:

got it correct on edg

Other Questions
What does the underlined word mean in the following sentence?La autopista tiene mucho trfico.O the boatthe freewaythe bus stopthe subway psychologist is interested in constructing a 95% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 68 of the 945 randomly selected people who were surveyed agreed with this theory.Round your answers to two decimal places.A. With 95% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is between _____ and _____.B. If many groups of 945 randomly selected people are surveyed, then a different confidence interval would be produced from each group. About_____ percent of these confidence intervals will contain the true population proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain and about_____ percent will not contain the true population proportion. Can you help me please. During the French Revolution, one of theleading Frenchmen wasA. ChamplainB. CartierC. Genet Jason walked for 0.75 hours at the rate of 3.4 miles per hour. He determines that he walked 0.255 miles. Which best refutes Jasons solution? What are the solution(s) to the quadratic equation 50 x2 = 0?A.x = +2V5B.x = +63C.x = +5V2D.no real solution Please help hurry :/ A secular government seeks to separate its decisions and policies from __________ influences. A. legislative B. religious C. political D. executive Please select the best answer from the choices provided. A B C D how to get rid of the flu? I will mark him as branliest please tell I am giving 25 points Choose the correct simplification of the expression (5x^5)^2 5x^25 10x^10 25x^7 25x^10 Can anyone help me with this question? To find the distance an object has traveled, you use the formula D=RT; where D=distance, R=rate and T=time. What was the rate a person drove if they traveled 313.5 miles in 4 hours? A. 78.374 miles per hour B. 78.375 miles per hour C. 1,254 miles per hour D. 12,540 miles per hour HELP!!!!!!!!!!!!A random number generator is used to create a real number between 0 and 1, equally likely to fall anywhere in this interval of values. (For the instance, 0.3794259832... is a possible outcome). a. Sketch a curve of the probability distribution of this random variable, which is the continuous version of the uniform distribution. What is a drawback to U.S. participation in the global economy? The United States is more affected by downturns in other parts of the world. The United States produces more manufactured goods than other countries import. American businesses have not been successful in moving operations overseas. policy is the actions taken by the to influence the real GDP and the inflation rate in the economy. which organelle makes the proteins that are needed by the cell? If 96 out of 200 pet owners own cats, what fraction and what percentage ofpet owners do not own cats?Check all that apply.A. 52%104IL B.200C. 48%D. 0.52%E 96 help ASAP plz200 Tim and jane both work for a company that sells boxes of breakfast cereal the boxes of cereal cost 3 pounds and the amount of cereal in each box weighs 160g the company wants to have a special offer here is Tim's idea for the special offer: PUT 25% MORE CEREAL IN EACH BOX AND DO NOT LOWER THE PRICE here is Jane's idea: REDUCE THE PRICE AND DO NOT CHANGE THE AMOUNT OF CREAL IN EACH BOX Jane wants her idea to give the same value of money as Tim's idea by what percentage does she need to reduce the price? Read your textbook's Sources from the Past section on Christopher Columbus first impressions of American peoples. Answer the question at the end of the section. Which statement best expresses the theme of "Wherefore Art Thou Romeo? A. A friends genuine help can actually cause one pain. B. One must get along with everyone in order to succeed.C. Sometimes, ones weakness can become ones strength. D. In order to succeed, one must have an enemy to focus on. The passage is not the original Romeo and Juliet!!! When I began working at this marketing job, I used to drive past the same homeless man every day. He stood at the corner of Twelfth Street and Industrial Boulevard, just before the left turn into the private road to my office complex, and held up a brown cardboard sign that read, Anything Helps. I didnt know how to respond to him. Most people didnt respond at all but drove right past him. Even if the red light stopped them at the very corner, directly alongside him, they didnt turn their gaze in his direction, much less reach into their pockets for a dollar bill. And yet, he made a point of smiling and nodding at every driver in the line of cars and sometimes wishing them good day. One spring morning, many weeks after hed first taken over the corner, a day when I was first in the line of stopped cars, I happened to glance to my left and saw that he was giving me a smile and a nod. Have a good one, he said. Flustered, I managed to falter out the words, You too. The light changed, and I drove off. Immediately, I felt guilty for not giving him some money, for hed been kind toward me, had treated me as a fellow human being, despite the fact that Id completely spurned him. So the next time I was stopped at that light, I rolled down my window and extended my hand with a dollar in it. From that point on, I gave him a dollar every time I happened to be caught at that red light, and he swiftly came to recognize me. Hed walk over to my car with a big smile of comradeship and anticipation, and in exchange for the dollar, hed entertain me with some observation about human quirks or some bit of news about how hed been surviving over the past twenty-four hours. We knew each other, I felt, even if it was only in a limited way. You shouldnt do that, my friend Janna told me severely a couple of months later. People who gave money to panhandlers were supporting them in destructive lifestyles rather than encouraging them to become productive, Janna said, and I believed her because she was a social worker at a charity and wanted to benefit the homeless in ways that were genuinely constructive, not just ways for some middle-class driver to fool himself into feeling virtuous. So I changed my morning commuting route and began entering the office complex from the other side. But from the beginning, I felt bad about avoiding him; I felt I had bowed to peer pressure, had shown the opposite of courage, and was depriving myself of an opportunity to make a small sacrifice that would make someone happy. It hadnt even been a sacrifice, I realized, because giving the man that insignificant (for me) sum had pleased me as well as him. The next day, I drove to work on my original route, which was quicker anyway, and looked forward to stopping next to him and exchanging a friendly pleasantry or two. But he wasnt there. He wasnt there the next day, either, and now that autumn and winter have come and gone, I can surmise fairly confidently that hes never coming back. Maybe hes migrated to some place with nicer weather. Or maybe something has happened to him that people like me wouldnt want to think about. I dont know what Ill do when a different homeless person discovers that this corner is unoccupied. Which theme can be most reasonably inferred from this story? Good intentions do not necessarily lead to wisdom. Generosity is always the best policy. People are not always what they first appear to be. Knowledge is power, and money is power, too.