Odysseus has returned from his epic voyage across the seas and gets off his boat at the end of a 50 meter pier. His beloved Penelope is waiting at the far side of the pier, at the origin. At the same time they see each other and race towards each other, meeting in a fierce embrace. Odysseus, exhausted from his journey, is able to run at 4 m/s, while Penelope can run at 6 m/s. Write an equation of motion for Odysseus.

Answers

Answer 1

Answer:

We know that:

Distance between Odysseus and Penelope = 50m

Speed of Odysseus = So = 4m/s

Speed of Penelope = Sp = 6m/s.

Now we want to find the equation of motion for Odysseus.

First, let's find the amount of time that he is moving, we know that when he meets with Penelope, he will stop moving.

Now they weel meet each other when the total distance traveled by both of them is equal to 50m.

Then, recalling that:

Distance = Time*speed.

50m = 4m/s*t + 6m/s*t = 10m/s*t

t = 50m/10m/s = 5s

They will move for 5 seconds.

Now we can write the movement equation for Odysseus as:

p(t) = 4m/s*t + p0 for (0s ≤ t ≤ 5s)

Where p0 is the initial position of Odysseus, and because we can put our coordinate axis where we want, we can define p0 = 0m.

Then the position of Odysseus is:

P(t) = 4m/s*t                    if 0s ≤ t ≤ 5s

P(t) = 4m/s*5s = 20m     if t > 5s.

The second piece says that for t larger than 5 seconds, he will not move (at least for a given amount of time)


Related Questions

A truck is moving at a constant speed of 50 m/s. A boy riding in the back of the truck throws a newspaper out the back of the truck at a speed of 20 m/s. What is the speed of the paper relative to someone standing on the roadside?

Answers

Answer:

70m/s

Explanation:

Why can we have faith in our scientific understandings? Why or why not?

Answers

scientific practices—observation and experiment; the development of falsifiable hypotheses; the relentless questioning of established views—have proven uniquely powerful in revealing the surprising, underlying structure of the world we live in, including subatomic particles, the role of germs in the spread of disease, and the neural basis of mental life. Religion has no equivalent record of discovering hidden truths.

So why do so many people believe otherwise? It turns out that while science and religion are as different as can be, folk science and folk religion share deep properties. Most of us carry in our heads a hodgepodge of scientific views and religious views, and they often feel the same—because they are learned, understood, and mentally encoded in similar ways.

Suppose you were designing an elevator. How could you use the concept of an Atwood machine to minimize the force required to move the elevator up and down? If possible, discuss your answer with your classmates and teacher.

Answers

Answer:

an elevator we can use a counterweight that has the same mass as the empty box,

Explanation:

An Atwood machine consists of two masses connected by a rope through a pulley, in this case the acceleration of the system is proportional to the difference in masses, in the case of equal masses the acceleration is zero.

In the design of an elevator we can use a counterweight that has the same mass as the empty box, in that case when there are no people in the elevator, the natural acceleration is zero and there is no need to apply any force and therefore no power is needed. the motor.

When you have people inside, the power of the motor is what you need to lift the people, not the box, this reduces the power needed by the elevator motor by a high factor.

Using Atwood machine concept, we can state that the elevator can use a system of counterweights that balance the weight inside the box and minimize the force required to move the elevator up and down.

We can arrive at this answer because:

An Atwood machine consists of a system of two masses that counterbalance each other.In this system, the acceleration is caused by the difference between these masses, if there are no differences between them, there is no acceleration of the system.In the case of the elevator, a counterweight system would provide a balance when there were people inside the box.This is because the counterweight would have the mass equal to the mass of the empty box and this would make the entire system not have acceleration.However, when people enter the box, there would be a difference in mass and the system would have acceleration, without forcing a greater force to do so, but using engine power.

With that, we can say that an elevator can act as an Atwood machine.

More information:

https://brainly.com/question/5689083?referrer=searchResults

Give one specific example of matter changing one state to another

Answers

Answer:

water can change to a solid even though its a liquid

Explanation:when water freezes it turns into a solid

The ice cube floating in my sody is getting smaller and smaller.

There was a puddle of rain water on the ground by the side door this morning, but there's no puddle there now.

How far will you travel if you run for 30 seconds at 6m/sec?

Answers

180 m

30 • 6 = 180

Brainlest?

Hurricanes hit
regions more frequently because of the close proximity to large bodies of water.
Coastal
Mountainious
Midwestern

Answers

Coastal because you are stupid idiot do your own work

A bird can fly 25 km/hr. How long does it take to fly 10 km?

Answers

Answer:

25 minutes

Explanation:

A car in front of the school goes from rest to 27 m/s in 3.0 seconds. What is its acceleration (assuming it is constant)?

Answers

Answer:

81 miles per hour

Explanation:

To get the answer, you should multiply 27 by 3, you should multiply distance by time to get the speed.

Answer:

9 m/s²

Explanation:

´Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt. This allows you to measure how fast velocity changes in meters per second squared (m/s^2). Acceleration is also a vector quantity, so it includes both magnitude and direction.´

You want to figure out which brand of microwave popcorn pops the most kernels so you can get the most value for your money. You test different brands of popcorn to see which bag pops the most popcorn kernels. What is the dependent variable?
A. Number of kernels popped
B. The brand of microwave
C. The brand of popcorn
D. The type of popcorn

Answers

Answer:

A

Explanation:

I think the number of kernels popped is depended on the brand of the microwave or it can be the brand of popcorn but the independent variable is the cause and the dependent variable is the effect

The dependent variable is the Number of kernels popped option (A) Number of kernels popped is correct.

What is dependent variable?

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables.

Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables according to some law or rule.

The brand of microwave or popcorn brand may affect how many kernels pop, but the independent variable is the cause and the dependent variable is the outcome.

Thus, the dependent variable is the Number of kernels popped option (A) Number of kernels popped is correct.

Learn more about the dependent variable here:

https://brainly.com/question/1479694

#SPJ6

We are constantly surrounded by many types of energy transfers and transformations, showing that energy in a system is conserved. Which of these statements are true about how energy is conserved through transfers and transformations? Choose the two that apply. A. Energy is conserved when a lamp is turned on because some of the electrical energy is transferred into thermal energy. B. Energy is conserved when thermal energy is transferred from your body to a coat. C. Energy is conserved when some of the chemical energy from burning a candle is transformed into thermal energy, while the rest of the chemical energy is transformed into light energy. D. Energy is conserved when electrical energy from a hair dryer is transferred into thermal energy and then transformed by conduction.

Answers

Answer:

Energy is conserved when some of the chemical energy from burning a candle is transformed into thermal energy, while the rest of the chemical energy is transformed into light energy.

Energy is conserved when thermal energy is transferred from your body to a coat.

Explanation:

The principle of conservation of energy states that energy can neither be created nor destroyed, but can be transformed from one form to another. This can be regarded as the first law of thermodynamics.

In the answer, we see two major kinds of energy transformation around us. The both cases show the conservation of energy in a system.

What phase of the moon would this be?
1st quarter, waxing half moon

3rd quarter, waning half moon

waxing gibbous

waning gibbous

Answers

Answer:

First Quarter

Explanation:

Which of the following correctly lists the energy conversions that happen when you plug a fan into an electrical outlet and turn it on?
A: chemical, nuclear, potential
B: sound,thermal, kinetic
C:sound,nuclear,electrical
D:chemical,sound,fission

Answers

B is the correct answer

Imagine you are on an airplane. Your plane has flown from 30 degrees North to 42 degrees North. How far have you flown?

Answers

the answer to your question is 12 degrees because you subtract 42 degrees minus 30 degrees to get 12 degrees

At speed, the car accelerated at 1.5 acceleration for 6 seconds. What way did the car go during acceleration?​

Answers

Answer:

The car would be going  forward

Explanation:

Acceleration means there is an increase in the rate or speed of something. And this case it is a vehicle.

!!PLS HELP ITS URGENT!!Lena is using water displacement to find the volume. The volume of water in a graduated cylinder is 30 ml. After Lena drops a small toy in the graduated cylinder, the volume of water rises to 37 ml. What is the volume of the small toy?

Answers

Answer:

7

Explanation:

A ball is thrown horizontally from a height of 1 m and lands 5 m away. What is the time of flight of the ball?

Answers

Answer:

The time of flight of the ball is approximately 0.4515 s

Explanation:

The given information are;

The vertical height, s = 1 m

The horizontal distance travelled, x = 5 m

The direction of the initial velocity = Horizontal

Given that the vertical height is known and the ball is in free fall, the time of flight, t, will depend on the vertical motion of the ball

The equation of motion of the ball can be presented as follows;

s = u·t + 1/2·g·t²

The initial vertical velocity = 0

∴ 1 = 1/2 × 9.81 × t²

t² = 1/(1/2 × 9.81 ) ≈ 0.20387 s²

t = √0.20387 = 0.4515 s

The time of flight of the ball ≈ 0.4515 s.

You toss a ball at 15m/s straight upward. How much time will the ball take to reach the top of its path

Answers

Let’s take v as 0 bcuz the ball will be at rest at the top of its path
u is 15 m/s
And g which is acceleration due to gravity is 10m/s square

So
v square - u square = 2gh
0 - 15 square = 2 x -10 x h
- 225 = -20h
h = 225/20
= 11.25 m

s which is distance equals 11.25 m

So time taken will be
Distance/speed
Which is 11.25/15
Which is 0.75

So it’ll take 0.75 seconds.

WHICH TYPES OF ENERGY ARE HAPPENING

Answers

Answer:

mecanichal energy

Explanation:

................

Sally accelerates a 250 kg cart at 3 m/s/s. What must be
the net force?
What is this question asking you to find?

Answers

Net force = mass x acceleration = 250 x 3 = 750 N

What is TRUE about a capitalist society?

Answers

The idea behind capitalism is that the free market of products and ideas is owned and driven by private citizens. A capitalist society is a social order in which private property rights and the free market serve as the basis of trade, distribution of goods, and development.

Answer:

In ideal terms: In a capitalist economic system, the owner of production is the individual, and the benefactors of production are first the individual and second the society. In a socialist or communist economic system, the owner of production is the state or the society, and the benefactor is the society.

Energy that Is transferred from a warmer object to a cooler object is called what?

Answers

Answer:

The movement of heat from a warmer object to a cooler one is called heat transfer.

The worker’s pull on the handle of the cart can best be described as a force having

Group of answer choices

magnitude, only

neither magnitude nor direction

direction, only

both magnitude and direction

Answers

Answer:

both magnitude and direction

Explanation:

The worker's pull on the handle of the cart is best described as the force having both magnitude and direction.

This is a vector quantityThe force is channeled to move the cart in a specific direction. Also, the pull on the cart can be quantified, and so it have magnitude. Most physical properties either have magnitude or direction or both.

In this case, the worker is pulling the cart towards a specified direction.

Therefore, the fitting choice is both magnitude and direction.

Lila is a track and field athlete. She must complete four laps around a circular track. The track itself is a 400 meter track and it took her 6 minutes total to complete. Which best describes her speed and velocity? A. Her speed is 4.4 m/s, and her velocity is 0 m/s B. Her speed is 1.1 m/s, and her velocity is 0 m/s C.Her speed is 0 m/s, and her velocity is 2400 m/s D. Her speed is 4.4 m/s, and her velocity is 4.4 m/s

Answers

Answer:

Her speed is 1.1 m/s, and her velocity is 0 m/s

Explanation:

Speed = Distance covered/Time

Given

Distance = 400m

Time = 6minutes = 6*60 = 360 secs

Substitute the given parameter into the formula;

Speed = 400/360

Speed = 1.1m/s

Since the track is a circular track, the displacement will be zero. She is only moving in a circular path (no direction)

Velocity = Displacement/Time

Velocity = 0/3600

Velocity = 0m/s

Hence her speed is 1.1 m/s, and her velocity is 0 m/s

Answer: Her speed is 1.1 m/s, and her velocity is 0 m/s

Explanation:

What is the speed of a 55.0 kg skydiver who has 7.81 x 104 J of kinetic energy?

Answers

Answer:

v=53.3m/s

Explanation:

Ek=1/2mv²

7.81×10⁴=1/2×55.0v²

v= the square root of 7.81×10⁴/0.5×55.0

v=53.3m/s

The speed of a 55.0 kg skydiver who has 7.81 x 104 J of kinetic energy is 53.29 m/s.

To find the speed, the given values are,

Mass m = 55 Kg

Kinetic Energy = 7.81x 10⁴ J

What is Speed?

Speed is the rate of change of distance with time. It is a scalar quantity with magnitude both no direction.

 Speed  = Distance / Time m/s.

The unit is m/s or km/hr or mile/hr.

Distance covered is simply the length of the path traveled. The unit is m or km or miles.Time taken is the duration of an event. The unit is seconds or minutes or hour.

Formula,

Kinetic energy = Ke = 1/2 mv²

When we solve for v,

v² = 2Ke/m

Substituting the given values,

v² = 2(7.81 x 10⁴) / 55

Simplifying,

v² = 15.62 x 10⁴ / 55

v² = 0.284 x 10⁴

v = 0.53291 x 10⁴

v = 53.29 m/s.

The speed of a 55.0 kg skydiver who has 7.81 x 104 J of kinetic energy is 53.29 m/s.

Learn more about speed,

https://brainly.com/question/24059788

#SPJ2

a car drives 16 m east, then 25 m south, then 16 m west. calculate the distance travelled by car

Answers

Answer:

16m + 25m + 16m = 57m

the car travelled 57 m

Sarah launches her purse straight up in air with a velocity of 30.2m/s
How high will it go?

Answers

Answer: 46.53

Explanation:

describe liquids and GASSES IN TERMS OF THERE VOLUME AND SHAPES

Answers

Answer:

Explanation:

liquids have definite volume

liquids do not have definite shape. The take the shape of the container in which they are kept.

gases do not have definite volume.

gases do not have definite shape. They take the shape of the container in which they are kept.

Hope this helps

plz mark as barinliest!!!!!!

Stay safe!

Explanation:

Liquids- Have definite volume

             No definite shape(takes the shape of the container)

Gases-  No definite volume

             No definite shape(takes the shape of the container)

Base your answer to this question on the information below and on your knowledge of physics.
A wave traveling through a uniform medium has an amplitude of 0.20 meter, a wavelength of 0.40 meter, and a frequency of 10 hertz.
Determine the period of this wave.

What’s the period of this wave ?

Answers

Answer:

T=1/f

= 1/10

= 0.1 s

v = wavelength × frequency

= 0.40m × 10 Hz

= 4ms^-1

T = wavelength / velocity

= 0.04m / 4 ms^-1

= 0.1 m

Explanation:

so first i used the formula T=1/f and i found that the period, T is 0.1s

and secondly , to check whether i got the correct answer , i used a different formula

i used the formula T = wavelength / velocity

but there's an unknown in it , that's the velocity

so to find the velocity , i used the formula v = wavelength × frequency

when i've done the calculation , the second value of T is same as the first value of T

so , the value of the period, T is 0.1s

How do liquids and gases transfer heat?
A.by radiation
B.by conduction
C.by air movement
D.by convection

Answers

Answer:

D.by convection

Explanation:

Liquids and gases primarily transfer heat through convection. The correct answer is option (D). which is convection.

Convection is the process of heat transfer through the movement of a fluid (liquid or gas). When a fluid is heated, its molecules become energized and move more rapidly, causing the fluid to expand and become less dense. The less dense, warmer fluid then rises while the cooler, denser fluid sinks.

In the case of liquids, this movement is often referred to as natural convection. In gases, convection can occur in two ways: natural convection and forced convection.

Natural convection occurs when the heated gas rises due to its decreased density, while the cooler gas descends. Forced convection involves the use of external forces, such as fans or pumps, to create airflow and enhance heat transfer.

Therefore, Liquids and gases primarily transfer heat through convection. The correct answer is option (D). which is convection.

To know more about the convection:

https://brainly.com/question/4138428

#SPJ6

WHICH TYPES OF ENERGY IS HAPPENING

Answers

Answer:

kinetic energy turned potential energy

Explanation:

it moves up the hill and stops so the movement is kinetic energy and the stop is potential energy

Kinetic energy turned into potential energy
Other Questions
Find the difference (10m+3)-(4m-2) help pls pls pls plsp pls Which of these was one of the major works of Gustave Courbet? OA. The Death of MaratB. The Third of MayC. Luncheon on the GrassD. The Stone Breakers A village located in central Africa does not have a sewer system or a community well. Homes do not have running water; instead, villagers must get their water from a nearby stream. Which of the following statements best describes this villages water situation?A.This village has no water scarcity.B.This village suffers from economic water scarcity.C.This village suffers from physical water scarcity.D.This village suffers from both physical and economic water scarcity. For the function f(x) = x + 2, find f-'(x). what is the area of tile 10 in.6 in.and 8 in use matrices to determine the coordinates of the vertices of the translated figure. Triangle DEF with vertex matrix [7 -9 -1 -7 -3 -7] translated 1 unites left and 4 units down. what are the two main type of cells and where are they found in the human body? Felipe mixes 8 oz a raven 8 oz of sunflower seeds 12 oz of almonds and 12 oz of dried fruit for a recipe how many pounds of mix does Felipe make with his recipe Two supplementary angles are in the ratio 2:7. Find the measure of the Acute angle. Can someone please help How can the introduction of a new species into an area effect the land, the flow of water,the atmosphere, and/or the other living things? Not all citizens of Georgia favored session, like Alexander Stephens, many voiced concerns over leaving the Union. Of the choices below, which group would most likely favor remaining with the Union and Northern states. Group of answer choicesA. Military trained officers of the ArmyB. Georgian's in northern counties or poor farmersC. Wealthy plantation owners Larry's car depreciated 30% during the first year he owned it. If he paid $24,750 for the car, what was his car worth the second year? 70 less than twice Jose's savings. Use the variable J to represent Jose's savings Whats the answer??? HELP #1 *i will give whoever answers brainliest,but your answer has to be correct and you have to explain*The first term in an arithmetic sequence is 12. The third term in the sequence is 4. The tenth term in the sequence is -24.A. Write the function that could be used to find the nth term of the arithmetic sequenceB. Daelyn said that the recursive formula for this sequence could be described as, to find the next term of the sequence, add -4 to the previous term. Do you agree or disagree that this statement is equivalent to the explicit formula that you created in part A? Explain. What is the quotient of 2 1/5 divided by 6 3/5 Plz help it would mean the world. HELP ME!!!! IM SO BAD AT THIS STUFF. 7TH GRADE MATH! 2 PARTS TO THIS