A pontoon boat travels across a lake in a straight line and increases in speed uniformly from vi = 18.5 m/s to vf = 36.0 m/s in a displacement Δx of 250 m. We wish to find the time interval required for the boat to move through this displacement. g

(a) Draw a coordinate system for this situation.

(b) What

analysis model is most appropriate for describing this situation?

(c) From the analysis model, what equation is most

appropriate for finding the acceleration of the speedboat?

(d) Solve the equation selected in part (c) symbolically for

the boat’s acceleration in terms of vi , vf , and ?x. (e) Substitute

numerical values to obtain the acceleration numerically.

(f) Find the time interval mentioned above.

Answers

Answer 1

Answer:

Explanation:

a ) The motion is one dimensional , so motion is along x - axis , starting from origin ( 0 , 0 )

b ) Initial velocity is 18.5 m /s when boat is situated at origin . When he displaces by 250 m along x axis and his position is ( 250 , 0 ) along x axis , his velocity becomes 36 m /s . Both his velocity and acceleration is along x - axis.

c ) Initial velocity vi = 18.5 m /s

final velocity vf = 36 m/s

Displacement x  = 250 m

Acceleration a = ?

Most appropriate formula is given below .

vf² = vi² + 2 a x

2ax = vf² - vi²

x =  ( vf² - vi² ) / 2 a

d )

Putting the given values

36² - 18.5² / 2 x 250

= 1296 - 342.25 / 500

= 1.9 m /s².

f ) Time interval t = ?

Required formula

vf = vi + at

t = (vf - vi ) / a

Putting the values

t = (30 - 18.5) / 1.9

= 6.05 second .


Related Questions

HELP PLS 100 POINTS TAKING TEST RN


WHEN you look at the speedometer in a moving car, you can see the car's.

A.instantaneous speed.
B.average speed.
C.instantaneous acceleration.
D.average acceleration.
E.average distance traveled.?

Answers

Answer:

I think he answer is C but I could be wrong

Explanation:

brainliest plz

Answer:

d mark brainlyest

Explanation:

Describe how sound at a concert is different from the front row and the back.

Answers

In the front is where the bass of everything comes from so it’s generally louder up there and toward the back there’s not as much bass to the music more just hearing the singer and other people screaming

someone help me! you get 27 points if you get it right

Answers

Answer:

1. D

2. D

3. A

The reason why your body goes right and the car car goes left is because your body tries to stay where it was, which is on the right. Your upper body doesn't feel a force and because of that continues in the same direction. Your lower half is pulled out from under you by seat friction to the left, leaving you leaning to the right.

is it possible for an object to be in motion without any external force applied? justify

Answers

Newton’s first law is commonly stated as:
An object at rest stays at rest and an object in motion stays in motion.
However, this is missing an important element related to forces. We could expand it by stating:
An object at rest stays at rest and an object in motion stays in motion at a constant speed and direction unless acted upon by an unbalanced force.
By the time Newton came along, the prevailing theory of motion—formulated by Aristotle—was nearly two thousand years old. It stated that if an object is moving, some sort of force is required to keep it moving. Unless that moving thing is being pushed or pulled, it will simply slow down or stop. Right?
This, of course, is not true. In the absence of any forces, no force is required to keep an object moving. An object (such as a ball) tossed in the earth’s atmosphere slows down because of air resistance (a force). An object’s velocity will only remain constant in the absence of any forces or if the forces that act on it cancel each other out, i.e. the net force adds up to zero. This is often referred to as equilibrium. The falling ball will reach a terminal velocity (that stays constant) once the force of air resistance equals the force of gravity.

Hope this help

The athlete at point A runs 150m east, then 70m west and then 100m east. Determine the resultant displacement of the athlete relative to point A

Answers

Answer:

180m to the east

Explanation:

Displacement is the distance traveled in a specific direction. It is a vector quantity with both magnitude and direction. Therefore, the start and finish position is very paramount.

  point A runs 150m east,

   70m west

  100m east

                                       150m

                --------------------------------------------------------→

                                                                   70m

                                                         ←---------------------

                                                                   100m

                                                         -----------------------------------→

The displacement of the athlete  = 150 - 80 + 100  = 180m to the east

Resultant displacement of the athlete will be "180 m (Towards east)".

According to the question,

Point A runs:

150 m (east)70 m (west)100 m (east)

Now,

The displacement will be:

= [tex]150-80+100[/tex]

= [tex]250-80[/tex]

= [tex]170 \ m \ (east)[/tex]

Thus the answer above is correct.

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Determine the change in velocity between 2.0 to 6.0 seconds. ____

Group of answer choices

-1.6 m/s

-2.1 m/s

-9.5 m/s

Answers

Answer:

-2.1 m/seconds velocity

A 4 kg object is moving at a speed of 5 m/sec. How much kinetic energy does the object have? A. 10 joules B. 20 joules C. 50 joules D. 100 joules

Answers

Answer:

A. 10 joules

Explanation:

Given parameters:

Mass of object  = 4kg

Speed  = 5m/s

Unknown:

Kinetic energy of the the object  = ?

Solution:

Kinetic energy is the energy due to a moving body.

So;

           mathematically;

    K.E  = [tex]\frac{1}{2}[/tex] x m v²

m is the mass

v is the velocity

  K.E  =  [tex]\frac{1}{2}[/tex]  x 4 x 5  = 10J

The kinetic energy of the given moving object is 50 J. The  Kinetic energy of an object is the energy due to its motion.

What is Kinetic energy?

The  Kinetic energy of an object is the energy due to its motion. It can be given as

[tex]KE = \dfrac 12 mv^2[/tex]

Where,

[tex]m[/tex] - mass = 4 kg

[tex]v[/tex] - velocity =  5 m/sec.

Put the values in the formula,

[tex]KE = \dfrac 12 4 \times 5^2\\\\KE = 50 \rm \ J[/tex]

Therefore, the kinetic energy of the given moving object is 50 J.

Learn more about  kinetic energy:

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Explain how are position time, velocity, and acceleration related to each
other?

Answers

I had this question before I think was it A or B.

Which of the following is not necessary for the creation of fossil fuels?
A. Organic matter
B Heat
C Pressure
D. Wind

Answers

Answer: I believe the answer is D. Wind.

Hope this helps! ^^

HELPPPPP it’s due in 10 minutes

The structural layer of the sun are shown in the cross-sectional diagram.


which layer represents the chromosphere?
A. c
B. d
C. e
D. f

Answers

Answer:

A.c

Explanation:

The chromosphere is above the photosphere, the visible "surface" of the Sun. It lies below the solar corona, the Sun's upper atmosphere, which extends many thousands of kilometers above the chromosphere into space. The plasma (electrically charged gas) in the chromosphere has a very low density.

In basic terms it is the 2nd one out from the core.

Answer: It’s probably A.c. The guy above did a bit too much to explain. lol

Explanation:

2. A sled with no initial velocity accelerates at a rate of 1.1 m/s down a hill. How
long does it take the sled to go 13 m to the bottom?

Answers

Answer:

Time, t = 4.862 seconds

Explanation:

Given the following data;

Initial velocity = 0

Acceleration = 1.1m/s²

Distance = 13m

To find the time, we would use the second equation of motion;

S = ut + ½at²

Substituting into the equation, we have;

13 = 0*t + ½*1.1*t²

13 = 0.55t²

t² = 13/0.55

t² = 23.64

Taking the square root of both sides, we have;

Time, t = 4.862 seconds

The specific heat capacity of oxygen is 918 J/kg °C. That means that it takes 918 J of energy to raise _____ kg of oxygen by 1°C. What number completes the sentence?

Answers

Answer:

In this case, the specific heat capacity of oxygen is 918 J/kg °C. That means that it takes 918 J of energy to raise 1 kg of oxygen by 1°C.

Explanation:

Specific heat is the amount of heat required to raise the temperature of a unit mass of a substance by one degree. Specific heat is also known as specific heat capacity or specific heat capacity.

In other words, it is defined as the amount of energy that we must contribute to increase its temperature.

The specific heat or heat capacity of a certain body is called by the letter "c".

The expression to calculate the specific heat of a substance is:

c = Q / m.Δt

where Q represents the heat energy transfer between the system and its environment, m the mass of the system and Δt the temperature variation to which it is subjected.

In this case, the specific heat capacity of oxygen is 918 J/kg °C. That means that it takes 918 J of energy to raise 1 kg of oxygen by 1°C.

The number that completes the sentence is 1 kg

What is specific heat capacity?

Specific heat capacity is the amount of heat required to raise 1kg of the substance by 1 °C or 1 K. The S.I unit of specific heat capacity is J/kg°C

The substance in question is oxygen.

From the question,

If the specific heat capacity of oxygen is 918 J/kg°C, It means that it takes 918 J of energy to raise 1 kg of oxygen by 1°C.

Hence, The number that completes the sentence is 1 kg.

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the gravitational force produced between any two
objects kept at 2.5*10^km apart is 580N. at what distance
should they be kept so that the gravitational force becomes
half?​

Answers

Answer:

The two objects should be kept at a distance of [tex]3.535\times 10^{4}[/tex] kilometers.

Explanation:

From Newton's Law of Gravitation, gravitational force ([tex]F[/tex]), measured in newtons, between two objects is inversely proportional to the square of distance ([tex]r[/tex]), measured in meters. That is:

[tex]F \propto \frac{1}{r^{2}}[/tex] (1)

[tex]F = \frac{k}{r^{2}}[/tex] (2)

Where [tex]k[/tex] is the proportionality ratio, measured in newtons-square meter.

Now we eliminate the proportionality by constructing the following relationship:

[tex]\frac{F_{2}}{F_{1}} = \left(\frac{r_{1}}{r_{2}}\right)^{2}[/tex] (3)

If we know that [tex]\frac{F_{2}}{F_{1}} = \frac{1}{2}[/tex] and [tex]r_{1} = 2.5\times 10^{7}\,m[/tex], then the distance between the two objects so that gravitational force becomes half is:

[tex]\frac{1}{2} = \frac{(2.5\times 10^{7}\,m)^{2}}{r_{2}^{2}}[/tex]

[tex]r_{2}^{2} = 1.25\times 10^{15}\,m^{2}[/tex]

[tex]r_{2} = 3.535\times 10^{7}\,m[/tex]

[tex]r_{2} = 3.535\times 10^{4}\,km[/tex]

The two objects should be kept at a distance of [tex]3.535\times 10^{4}[/tex] kilometers.

Plz help 200 pts


In the movie Black Panther, Wakanda's economy focuses on the production and use of a fictional metal known as vibranium, which has amazing chemical and physical properties. If this metal actually existed, where do you think the metal would be placed in the periodic table? What would be the elemental symbol?​

Answers

Answer:

We just know that the metal is called Vibranium.

to place something is the table   we need to know its atomic number and its mass. so if we can get that we can ans it.

Explanation:

What was the long-term effect of the Northwest Ordinance of 1787?

Answers

Answer:

Established a government for the Northwest Territory, outlined the process for admitting a new state to the Union, and guaranteed that newly created states would be equal to the original thirteen states

Explanation:

Goooogle, so I hope this helps somewhat

Also, isn't this a History question? You put physics lol

During the previous year, Zach's weather station measured 0.8 yards of rain. Express this amount in cm.​

Answers

Answer:

73.152cm

Explanation:

We have been given:

          0.8yards of rain

Problem, convert to cm = ?

Solution:

The problem deals with the conversion from one length dimension to another.

 So:

           1 yard   = 91.44 cm

     So   0.8 yards  = 0.8 x 9.44 = 73.152cm

The solution to this problem is 73.152cm

m
Bcth drives cast at 30 , then slows to a stop at the red light. A graph of her velocity over time is shown below,
s
where castward is the positive velocity direction.
Velocity
30
A
20+
10+
MY
Pro
2
4
6
8
10
Time (s)
Pro
Теа
Which graph shows her acceleration over time?
Choose1

Answers

Answer:

question is not clear.......

1. Find the momentum of an object of mass 5 kg with a velocity of 2 m/s. *
a. 2.5 kg.m/s
O b. 10 kg.m/s
c. 0.25 kg.m/s
d. 20 kg.m/s

Answers

Answer:

10kgm/s

Explanation:

Momentum = Mass * Velocity (both in standard units)

Momentum = 5 * 2 = 10kgm/s

What are two main types of exercise???

Answers

Answer:

Endurance exercise and Strength exercise

Explanation:

Answer:

Aerob exercise and strength exercise

Explanation:

2. If a spring has a spring constant of 400 N/m, how much elastic potential
energy is stored when the spring is stretched by 0.25 m?​

Answers

Answer:

The kinetic energy of a spring is equal to its elastic potential energy.

The elastic potential energy is 12.5N-m or 12.5 Joules.

Explanation:

[tex] = \frac{1}{2} k {x}^{2} \\ = \frac{1}{2} (400)( {.25)}^{2} \\ = 12.5[/tex]

HELP PLEASE I NEED AN A FOR THIS TO PASS

Answers

Answer:

D: The velocity increases during the time periods labeled A and C

Explanation:

Since gravity pulls us down to Earth, it will pull down the ball faster when the ball is falling.

Calculate the horizontal force that must be applied to a 1,300 kg vehicle to give it an acceleration of 2.6 m/s² on a level road.

500 N

3,380 N

1,302.6 N

0.002 N

Answers

The answer is 3,380 N

The horizontal force must be applied to a vehicle of mass 1300 kg and of acceleration of 2.6 m/s² will be 3380 N. Hence, option B is correct.

What is Acceleration?

The rate of change in an object's velocity concerning time is known as acceleration in mechanics. The vector quantity of accelerations. The direction of the net force that is acting on an object determines its acceleration.

Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well.

According to the question, the given values are :

Mass, m = 1300 kg

Acceleration, a = 2.6 m/s²

Force = 1300 × 2.6 m/s²

F = 3380 N.

So, the force applied will be, 3380 N.

To get more information about Acceleration :

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Plants make food through photosynthesis, and photosynthesis takes place mostly in plant leaves, but when plants lose their leaves in the winter, they do not die. This is evidence that A. someone gives the plants food every day. B. plants can use heat in the ground to make food. C. plants store food for later use. D. photosynthesis also takes place in plant roots.

Answers

Answer:

The answer is not B or D because they need light co2 and water to make their food so B and D are out. and unless someone is walking during winter to feed it. It will not be A so the answer is C.

Explanation:

Plants can use heat in the ground to make food in winters. Plants make food through photosynthesis, and photosynthesis takes place mostly in plant leaves, but when plants lose their leaves in the winter, they do not die. Thus, the correct option is B.

What is Photosynthesis?

Photosynthesis is the process through which plants use the sunlight, which is trapped in the chlorophyll pigment present in the chloroplast of cells to convert water, and carbon dioxide to produce oxygen gas and energy in the form of sugar (carbohydrate).

Photosynthesis is the process in which energy transformation takes place. In this process, light energy from the sun is converted into chemical energy that is in the form of carbohydrate in the leaves of the plant.

Therefore, the correct option is B.

Learn more about Photosynthesis here:

https://brainly.com/question/29764662

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14. Skeletal muscles always work in
what

Answers

When skeletal muscles contract, bones move. But how do muscles make your bones move? A voluntary muscle usually works across a joint. It is attached to both the bones on either side of the joint by strong cords called tendons. A tendon is a tough band of connective tissue that connects a muscle to a bone. Tendons are similar to ligaments, except that ligaments join bones to each other. Muscles move the body by contracting against the skeleton. When muscles contract, they get shorter. By contracting, muscles pull on bones and allow the body to move.

Hope this will you to understand the movement of the skeletal muscles

Answer:

ur mom fr tho it does everywhere also in the nose thighs gutes and your whole body

Explanation:

a dog running across the field at a speed of 1.2 m/s with a mass 3.2 kg

Answers

Explanation:

=0.5×3.2×1.44

=2.304J

I hope it's helpful!

Which electromagnetic waves have the shortest wavelength and the highest frequency?

waves

Answers

Answer: Gamma rays (violet) have the shortest wavelengths and the highest frequencies.

Explanation: The wavelength of the gamma rays is less than 0.01 nanometers. The frequency of a wave is inversely proportional to its wavelength. That means that waves with a high frequency have a short wavelength, while waves with a low frequency have a longer wavelength.

The electromagnetic waves have the shortest wavelength and the highest frequency is Gamma rays (violet).

What are gamma rays?

Gamma radiation, from gamma rays (γ), is a type of electromagnetic radiation usually produced by radioactive elements. Gamma rays, due to their high energy, are able to penetrate matter more deeply than alpha or beta radiation.

Gamma ray is a type of high frequency electromagnetic radiation usually produced by radioactive elements.

See more about Gamma rays at brainly.com/question/23281551

What are the factors of works?

Answers

Answer:

Explanation:

The seven factors are work load, family life, transportation, compensation policy and benefits, colleagues and supervisor, working environment and working condition and career growth.

Your attitude has no influence on how regularly you exercise.

Answers

Answer:

False

Explanation:

Answer: False

Explanation:

correct on edge✅

A monkey increases its gravitational potential energy by climbing to the top of a tree. What happens to that potential energy if he climbs back down halfway?

Group of answer choices


It would decrease by three fourths.


It would double.


It would remain the same.


It would decrease by half.

Answers

It would decrease by half

Answer:

it would decrease by half.

Explanation:

what are the rocky planets? theres more in the attachment
HELP ME PLS

Answers

Answer:

Explanation:

The rocky planets include Mercury, Venus, Earth, and Mars. they are made up of rocks and metals and have solid surfaces.They are the closest four planets to the Sun. The gas giants are  Neptune, Uranus, Saturn, and Jupiter. they are further from the sun and are in the outer part of the solar system. I hope this helps!

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