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

What are some limitations to an H-R diagram

Answers

For one, it can be nearly impossible to estimate a age of a individual star so mass is greater that 0.7 solar masses there will possibly be some uncertainty in its position in the H-R diagram but that can lead to a uncertainty to an estimated distence! I hope you have a great day!

PLEASE HELP ME, IM STUCK ON THIS QUESTION

Answers

Answer:

the correxct adnswer is d

Explanation:

lol

which model would be classified as a physical model

Answers

Answer:

Model will be classified as a physical model since it is demonstrating a model in real life.

Explanation:

Answer:

Marshmallow answer

Explanation:

A dog walks 40. m west, then 10. m east and then 50. m south. What is the
distance and displacement traveled?

Answers

The distance is 40+10+50 = 100m
Displacement = square root ( 30^2 + 50^2)

The total distance traveled by the dog is 100 m and the displacement of the dog is 58.31 m.

The given parameters;

Initial position of the dog, 40 m westSecond position of the dog, 10 m eastFinal position of the dog, = 50 south

The displacement of the dog is the change in its initial position and the final position.

The resultant of the dogs position in x-direction: = 40 m - 10 m = 30 m

The resultant of the dogs position in y-direction: 50 m

The magnitude of the displacement;

R² = 30²  + 50²

R² = 3400

R = √3400

R = 58.3 m

The distance covered by the dog is the sum of all the positions of the dog.

Distance = 40 m + 10 m + 50 m

Distance = 100 m.

Thus, the total distance traveled by the dog is 100 m and the displacement of the dog is 58.31 m.

Learn more here:https://brainly.com/question/17345815

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

Answers

Answer:

25 minutes

Explanation:

A crowbar makes our work easier by multiplying effort true or false​

Answers

Answer:

True

Explanation:

A crowbar makes our work easier by multiply effort because it belongs to first class lever.

And first class lever makes work easier by multiplying the effort

difference between precion and accuarcy

Answers

Answer: accuracy is how close a value is to their true value, like how close a arrow gets to the bull's eye center.  precision is how repeatable a measurement is, like how close a second arrow is to the first one.

Explanation:

The motion of an object is determined by the sum of the acting on it.

Answers

the force acting on that object

How would you determine the acceleration from a v vs. t graph?

Answers

The acceleration is the slope of the v/t graph.

-- If the graph is a straight line, then pick any piece of the line, or even the whole graph, and divide (change in 'y') by (change in 'x') for the piece you chose.

-- If the graph is a curve or a squiggle, then you can do the same thing with a piece of it, and you get the average acceleration during that piece.

-- If you need the acceleration at one point on the graph, you have to lay a straight line against that point on the graph, and find the slope of that straight line.

A car is traveling at a speed of 54 km/h. Breaks are applied so as to produce a uniform acceleration of -0.5 m/s2. Find how far the car will go before it is brought to rest

Answers

Explanation:

u=54 km/h

54*5/18=15 m/s

v=0m/s

t=?

acceleration=-0.5m/s^2

we know that a=v-u/t

so,

t=v-u/a

t=15-0/0.5

=15/0.5

=30

therefore, the time is 30 second

Hope this answer helps you..

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

Cindy runs 2 kilometers every morning. She takes 2 minutes for the first 250 meters, 4 minutes for the next 1,000 meters, 1 minute for the next 350 meters, and 3 minutes for the rest.
Cindy’s average speed for the entire run is meters per minute. One kilometer is the same as 1,000 meters.

Answers

Answer:

200 m/min.

Explanation:

From the question given, we obtained the following data:

Total distance = 2 km

Total time = 2 + 4 + 1 + 3

Total time = 10 mins

Average speed =.?

Next, we shall convert 2 km to metre (m). This can be obtained as follow:

1 km = 1000 m

Therefore,

2 km = 2 km × 1000 m / 1 km

2 km = 2000 m

Therefore, 2 km is equivalent to 2000 m.

Finally, we shall determine the average speed of Cindy as follow:

Total distance = 2000 m

Total time = 10 mins

Average speed =.?

Average speed = Total distance /total time

Average speed = 2000 /10

Average speed = 200 m/min.

Therefore, the average speed of Cindy is 200 m/min.

ghhh what music do yall listen to

A particle or object with more electric charge produces a stronger and larger electric field.
true or false

Answers

I’m not sure if they get larger but the definitely get stronger

- Approximately what are the coordinates of the Hawaii Hot
Spot?
(1) 50 N, 120 W
(3) 25 N, 158 W
(2) 25 N, 158 €
(4) 25 S, 158 E

Answers

Answer: (3) 25°N, 158°W

Explanation:

The Hawaii Hotspot is one of the most popular on the planet and is the reason the Hawaii islands were created as it created volcanoes under the Hawaii islands that erupted as the Pacific plate moved over them and then the lava cooled thereby forming the different Hawaii islands.

The approximate location of the hotspot is 25°N, 158°W in the pacific ocean.

answer this plzz and ill give you 12 points

Answers

Answer:

Explanation: I think its D

Express the number in scientific notation: -8,675,300.0

Answers

Answer:

It would be -8.6753 x 10 to the 6th power

Explanation

In a cinema theatre, why do we normally not hear echoes even though the sounds are loud?​

Answers

Answer:

An echo is formed as a result of reflection of the original sound which returns to the listener. You might have experienced Echo in an EMPTY ROOM but no echo is produced after the room is occupied. To avoid echo from being produced the echo has to be absorbed.

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.

A golfer pulls on the eighteenth green at a distance of 5.0m from the hole. The ball rolls straight. In the positive direction, but overshoots the hole by 1.2m. The golfer then putts back to the hole and sinks the putt for par. What is the displacement of the ball?

Answers

Answer:

Explanation:

The initial position of the ball = - 5 .0 m from the hole .

It is negative because , direction towards the hole is positive so direction from the hole will be negative .

Final position of the ball = 0 m from the hole .

Displacement of the ball = Final  position - Initial  position

= 0 - ( - 5 ) = 5 .0 m

Displacement = + 5 m

PLEASE HELPPPPPP!! 25 POINTS!!
Arnold ran the 100-meter dash in 24 seconds. Using the speed formula, calculate Arnold’s average speed.

Emma ran the 100 meter dash in 11 seconds. Using the speed formula, calculate Emma’s average speed.

Who was the fastest runner?

What was the winner's average speed?

Select the 2 best answers.


a. Arnold
b. Emma
c. The winner's average speed was 4.2 m/s
d. The winner's average speed was 9.1 m/s
e. The winner's average speed was 0.11 m/s
f. The winner's average speed was 100 m/s

Answers

B. Emma
D. The winners average speed was 9.1 m/s

Arnold’s average speed was 4.2 m/s
Emma’s average speed was 9.1 m/s

Water flows into a swimming pool at the rate
of 5.25 gal/min.
If the pool dimensions are 33.8 ft wide, 40 ft
long and 11.1 ft deep, how long does it take to
fill the pool? (1 gallon = 231 cubic inches)
Answer in units of min.
...

Answers

148.49 minutes

First find the cubic inch area of the pool.

33.8 x 40 x 11.1

You get 15007.2

Convert that to inches by multiplying it by 12.

You get 180086.4. Divide that by 231 since each 1 gallon is 231 cubic inches.

You get 779.594805

Now divde that by 5.25 (rate of flow)

You get 148.49 rouned to the nearest hundreth.

If you are able to do brainliest, I'll be happy. This took some big division...

What is the power (P) of an electric circuit with a current (1) of 2.5 A and a
voltage (V) of 120 V? The formula for power is P= IV.

Answers

If you plug in the data, it is 2.5A x 120v = 300W. The unit of power is Watts (W).

Answer:

B. 300 W

Explanation:

2.5 * 120 = 300

Watts is the unit of power

Which question asks for an opinion?
A. Can people who visit Mars use the resources there to fuel a return
trip to Earth?
B. How much more radiation reaches Mars's surface than reaches
Earth's surface?
C. Is it a good idea to try to establish human colonies on Mars?
D. Is it possible to establish a human colony on Mars?

Answers

Answer:

C

Explanation:

It says is it a good idea the person so 1 person can say no and the other one can say yes so it is asks for a opinion

A question that asks for an opinion is as follows:

Is it a good idea to try to establish human colonies on Mars?

Thus, the correct option for this question is C.

What is Opinion?

An opinion may be defined as a type of viewpoint, judgment, or statement that is not conclusive, rather than facts, which are true statements. It may vary from person to person, topic to topic, and condition to condition.

The opinion of any individual belongs or relates to one particular person rather than to other people. For example, in this given scenario, some reply to the question with a yes answer. In a manner, it is definitely a good idea to try to establish human colonies on Mars. While some categorized themselves on no side.

Therefore,  the correct option for this question is C.

To learn more about Opinion, refer to the link:

https://brainly.com/question/25607827

#SPJ5


1. If a distance-time graph contains the point (4, 15), what does that tell you about the runner?

Answers

Answer:

The answer is that the runner ran 4,15

Explanation:

The runner ran for 4 seconds and in 4 seconds he ran 15 yards or meters or feet

How might you demonstrate respect for your instructors or a fellow students

Answers

Answer:

Being attentive is the best way to demonstrate respect.

Explanation:

give three uses of mirrors in everyday life

Answers

Answer:

1.to look at your face of their is a mess.

2.to see if your hair is messy.

3.to see of your name is messy

Explanation:

none

Scientists have changed the model of the atom as they have gathered new evidence. One of the atomic models is shown below.

A large black cross in a purple circle with a black line around the purple, with 10 small green balls dispersed within the purple circle.

What experimental evidence led to the development of this atomic model from the one before it?

Answers

Answer:

B: The colors of light emitted from heated atoms had very specific energies.

Explanation:

B: The colors of light emitted from heated atoms had very specific energies.

At what time were the racers at the same position?
O 15
O 3s
O 5s
0 4s

Answers

The Answer is:

O 3s

Hope you got it right.
The answer is B
Have a great day

A go-kart accelerates at a rate
of 12.0 m/s2 How long will it
take the go-kart to reach a
speed of 25 m/s?

please hurry

Answers

Answer:

if it is at a speed of 12.5 m / s it would take 2 minutes

Explanation:

how magnets were first developed from pieces of lodestone and the different ideas that people had about them.

Answers

Explanation:

the mineral magnetite.They are naturally occurring magnets, which can attract iron. The property of magnetism was first discovered in antiquity through lodestones.Pieces of lodestone, suspended so they could turn, were the first magnetic compasses,

and their importance to early navigation is indicated by the name lodestone, which in Middle English means "course stone" or "leading stone", from the now-obsolete meaning of lode as "journey, way".

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