A snail is traveling along a straight path. The snail’s velocity can be modeled by

Answers

Answer 1

The acceleration of the snail will be 7/13 m/sec². The acceleration is found as the rate of change of the velocity.

What is acceleration?

The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

The given data in the problem is;

v(t)=1.4ln(1’t²) inches per minute

0<t<15 minute

Acceleration is found as;

[tex]\rm v('t)=1.4 \times \frac{1}{1+t^2} (2t)[/tex]

Acceleration at t= 5 minute;

[tex]\rm v'(5)=\frac{1.4(2)(5)}{1+5^2} =\frac{14}{26} \\\\ v'=\frac{7}{13}[/tex]

Hence, the acceleration of the snail will be 7/13 inch per square minute.

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Related Questions

Which of the following would have the smallest coefficient of kinetic friction when slid along your hang.

a Bar of Soap
carpet
sand paper

Answers

A soap bar because the material of a carpet or sandpaper is more rough than a soapbar and thus has a higher coefficient of friction.
Soap is the obvious choice

Danielle is doing some diy. she uses a 1.2kw electric saw for 20 minutes and then a 1000w electric sander for half an hour. which job is the more expensive in terms of electricity used - sawing or sanding?

Answers

Based on the calculations, the electric sander (sanding) is the more expensive in terms of electricity used.

How to determine the more expensive?

Mathematically, the quantity of energy consumed by an electrical device can be calculated by using this formula:

Energy consumption = power × time

For the electric saw, we have:

Power = 1.2 kW = 1.2 × 1000 = 1,200 Watts.Time = 20 minutes.

Substituting the given parameters into the formula, we have;

Energy consumption = 1,200 × 20

Energy consumption = 24,000 Joules.

For the electric sander, we have:

Power = 1000 Watts.Time = half-hour = 30 minutes.

Substituting the given parameters into the formula, we have;

Energy consumption = 1,000 × 30

Energy consumption = 30,000 Joules.

Therefore, the electric sander (sanding) is the more expensive in terms of electricity used.

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Answer: sanding

Explanation:

Energy used by saw = power × time = 1,200W × 1,200s = 1,440,000J.

Energy used by sander = power × time = 1,000W × 1,800s = 1,800,000J.

The sander uses more energy.

A car with a mass of 1000 kg is moving on an un-banked ramp with a radius of 100 m. what is the maximum speed the car can move without skidding if the coefficients of static and kinetic friction are 0.80 and 0.60 respectively

Answers

The maximum speed the car can move without skidding is determined as 28 m/s.

Maximum speed of the car

The maximum speed of the car moving in a circular path is provided by static frictional force.

Fs = μFₙ = mv²/r

μFₙ = mv²/r

mv² = μFₙr

v² = μFₙr/m

[tex]v_{max} = \sqrt{\frac{\mu_s F_n r}{m} } \\\\v_{max} = \sqrt{\frac{\mu_s (mg) r}{m} } \\\\v_{max} = \sqrt{\mu_sgr} \\\\v_{max} = \sqrt{(0.8)(9.8)(100)}\\\\v_{max} = 28 \ m/s[/tex]

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on which factor potential energy depends?​

Answers

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[tex] \sf \red{what \: is \: potential \: energy}[/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]

Potential energy: A type of energy which is possessed by an object due its position.

Example: A raised weight or when we raise any weight is a potential energy.

[tex]\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}[/tex]

[tex] \sf \red{on \: which \: factor \: potential \: energy \: depends}[/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]

Potential energy depends upon three factors. They are:

Mass of an object. Height of an object. Gravitational force upon an object.

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An engineer is working to design a bouncy ball that conserves all of its kinetic and potential energy. She drops the ball to the ground from a height of 3 meters. If it really works, how high should the ball bounce

Answers

If potential energy is conserved or remain the same, the ball will bounce 3 m high.

Conservation of energy

The principle of conservation of energy states energy can neither be created nor destroyed  but can be converted from one form to another.

If we apply the principle of conservation of energy, the total potential energy will remain the same.

P.E(initial) = P.E(final)

Thus, If potential energy is conserved or remain the same, the ball will bounce 3 m high.

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A bus starts from rest.if the acceleration is 2m/s square, find
i.the distance travelled
ii.the velocity after 2 seconds.​

Answers

Answer:

The velocity after 2 seconds can be found through:

V = u +a*t

Where V is final velocity, u is initial velocity, a is acceleration and t is time.

V = 0 + 2* 2= 4 meters/second

The distance (s) can be found through:

V^2= u^2 +2*a* s

Where V is final velocity, u is initial velocity, a is acceleration.

4^2= 0^2 + 2 *2*s

16= 0 + 4s

s= 4 meters

Distance (s) can also be found through:

s= ut + 1/2 at^2

s= 0+ 1/2 *2*2^2= 1 *2*2

s= 4 meters

Explanation:

sandra is riding a bice at 10.0 meters/second. she slows down to 2.0 meters/second in 10 seconds. her acceleration is blank meters/seconds^2

Answers

Explanation:

[tex]a = \frac{v - v _{i} }{t} [/tex]

Her intial velocity is 10

Her final velocity is 2

Time is 10 seconds.

[tex]a = \frac{2 - 10}{10} [/tex]

[tex]a = - \frac{4}{5} [/tex]

A 4.0-W resistor, an 8.0-W resistor, and a 10.0-W resistor are connected in series across an 11-V battery. What is the total voltage drop across the 4.0-W and 8.0-W resistors?

Answers

The answer to this is -6

A student jumps off a sled toward the NORTH after it stops at the bottom of an icy hill. Based on Newton's third law of motion, in which direction will the sled most likely move as the student jumps off?
A. North
B. West
C. East
D. South

Answers

When the student the sled jumps off toward the north , the sled most likely move towards the south.

What is the Newton third law?

According to the Newton third law of motion, action and reaction are equal and opposite. This means that the direction of the reaction force must also be opposite to that of the action.

As such, when the student the sled jumps off toward the north , the sled most likely move towards the south.

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Which is one factor that contributes to the formation of polar, temperate, and tropical zones?

the angle of the Sun’s rays
the direction of seasonal winds
the presence of prevailing winds
the movement of wind near a mountain
help im timed

Answers

Answer:

The angle of the Sun's rays:

At about June 21 the sun is directly overhead at about 23 deg north of the equator

On about Dec 21 the sun is directly overhead at about 23 deg south of the equator

It is this tilt 23 deg to the ecliptic (path of earth about sun) that causes the major temperature changes on earth

a car takes 125 ft to brake from 60 to 0 mph. Assume that the acceleration of the Prius is constant while braking. Find how long it takes for the Prius to come to a stop. Long problems begin on the next page

Answers

Answer:

2.84 seconds

Explanation:

t = ?

distance = 125

Velocity origianal = 60 m/hr = 88 ft/s

     AVERAGE velocity = 88/2 = 44 ft/s

44 t = 125

t = 125/44 = 2.84 s

can anyone solve this quick?​

Answers

Answer:

yes

Explanation:

First show me your or

can someone do this for me please?! Just the answer pls

Answers

4.  The answer is that you will see the same sights as when you are resting.  That is because you and mirror are in rest one relative another.  If your relative speed is 0, it doesn't matter how quickly you both travel in relation to other objects.

5. The relativistic effects will not alter if the speed of light is reduced to 50m/s. According to the principle of constancy (2nd postulate), the upper limit of speed is 50m/s, which will be impossible for material objects to achieve because as the speed of light decreases, the sizes of humans and all other materials decrease as well, decreasing our relativistic velocity and thus making c=50m/s unattainable for material objects, and thus the relativistic effects will remain unchanged. A pedestrian must use caution when crossing the roadway. Let's assume you see a car arriving at 60 kilometers per hour, or 16.666 meters per second, from a distance of 100 meters. It'll take 6 seconds to arrive, giving you plenty of time to cross the street. Because the light reflected from the car to your eyes left the car two seconds ago, the car will reach at your location in four seconds and hit you (if the car is travelling in the lane on the far side of the road). It looks to you that approaching automobiles traveling at the legal limit are traveling at a speed of 100 / 4 = 25 m/s, which is 50% faster than the genuine speed of 16.666 m/s. When considering whether or not it is safe to cross the road, one would quickly become accustomed to this.

6.

After travelling 4.0 km, the train reaches its maximum speed. it continues at this constant speed on the next section of the track where the track follows a curve which is part of a circle.

state the direction of the resultant force on the train as it follows the curved path.

Answers

Answer:

  toward the center of the circular curve

Explanation:

An object will follow a circular path at constant speed if and only if its net acceleration is constant and directed toward the center of the curved path.

__

The result force is directed toward the center of the circle.

_____

Additional comment

If any part of the result force is in the direction of motion, the speed will not be constant. If the center-directed force is not constant, the path will not be circular.

The frequency of a wave does not change as it passes from one medium to another.
What will most likely happen if a light wave moves from the air into a solid?
The wavelength of the light wave will increase.
O The speed of the light wave will decrease
The wavelength of the light wave will remain the same.
O The speed of the light wave will remain the same.
Mark this and return
Save and Exit
Next

Answers

Answer:

The speed of the wave will decrease (due to a shorter wavelength after passing from air to a more dense medium)

Throughout the spring and summer, trees take nutrients
from the soil. these nutrients are spread throughout the
tree. in the autumn, some of these nutrients are lost
when the tree drops its leaves.
in a young, rapidly growing forest, scientists calculated
that 23 kilograms of a nutrient are taken up from the soil
by the trees in one year. in the autumn, the leaves that
fall contain 21 kilograms of the nutrient.
18 the trees can be considered a subsystem of the
larger ecosystem. if there are no other inputs or outputs from the trees, how much of the nutrient
is added to the tree subsystem (stored in the trees) in this year?
a. 2 kg
b. 21 kg
c. 23 kg
d. not enough information is available to determine.
(help!!!!) science

Answers

The amount of nutrients added to the tree subsystem in one year after leaf fall is 36 kg of nutrients.

What are plant nutrients?

Plants nutrients are the mineral elements required by plants for their growth and development.

Plant nutrients are mostly obtained from the soil as well as from the atmosphere.

Based on the data provided, each tree will absorb 23 - 21 Kg nutrients = 2 kg of nutrients

18 trees will absorb 18 × 2 = 36 Kg of nutrients.

Therefore, the amount of nutrients added to the tree subsystem in one year after leaf fall is 36 kg of nutrients.

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Struggling with this, pls answer:( Brainliest to the (FIRST) right answer

Answers

Answer:

c. a and c

Explanation:

ammeters are connected in series to measure charge/current

Where do the three rays in a ray diagram start?

at a focal point on the opposite side of the lens
at three different points on the object
at a focal point on the same side of the lens
at a single point on the object

Answers

The three rays in a ray diagram start from a single point on the object.

What is focal point of a lens?

The focal point of a lens is the point where light rays parallel to the axis are brought to a point.

The focal point is responsible for the converging of light rays coming from the object but the rays do not start here.

Thus, the three rays in a ray diagram start from a single point on the object.

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Answer:

D

Explanation:

A metal sign for a car dealership is a thin, uniform right triangle with base length b and height h. the sign has mass m.

required:
a. what is the moment of inertia of the sign for rotation about the side of length h?
b. if m = 4.40 kg ,b = 1.30 m and h = 1.30 m , what is the kinetic energy of the sign when it is rotating about an axis along the 1.30-m side at 2.40 rev/s ?

Answers

(a) The moment of inertia of the sign for rotation about the side of length h is 1.24 kgm².

(b) The kinetic energy of the sign when it is rotating about an axis is 141.37 J.

Moment of inertia of the triangular sign

The moment of inertia of the sign for rotation about the side of length h is calculated as follows;

I = 2 x ¹/₃M(b/2)²

I = 2 x ¹/₃Mb² x ¹/₄

I = ¹/₆Mb²

I = ¹/₆ x 4.4 x 1.3²

I = 1.24 kgm²

Rotational kinetic energy of the ball

K.E(rot) = ¹/₂Iω²

where;

ω is angular speed = 2.4 rev/s = 2.4 x (2π rad)/s = 15.1 rad/s

K.E(rot) = ¹/₂(1.24)(15.1)²

K.E(rot) = 141.37 J

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Just the answer (PLSS)

What mindset do you believe Einstein had while alive and what do you think the key component or constant action was for Einstein throughout his “miracle year”?

Answers

The miracle year for Albert Einstein  was the year 1905 within which he published so many renowned papers.

When was Einstein miracle year?

The miracle year for Albert Einstein  was the year 1905 within which he published so many renowned papers in a short time and became very popular.

His mindset in that year was one that challenged the orthodox explanations and sought to think outside the box.

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Which arrow represents the change of state described
above?
M
N
P

Q

Answers

Answer: The Q arrow

Explanation: when the solid is heated it changes into a liquid state first this action represented the Q arrow

Answer:

Its D

Explanation:

Bc i got it right on edge


17. what does it mean if a personality
test is reliable?
a. a reliable test will give consistent
results over time.
b. a reliable test reveals forgotten
experiences.
c. a reliable test has strong personal
bias.
d. a reliable test accurately predicts?
your actions.

Answers

A Personality test is said to be reliable because (A). a reliable test will give consistent results over time.

Meaning of Personality test

Personality test can be defined as a test that can be used to verify or ascertain an individuals personality.

Personality test is a test that is carried out by different organizations to help to help them know the individuals in that organization and to help others know how to relate and work with them.

In conclusion, A Personality test is said to be reliable because a reliable test will give consistent results over time.

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Answer:

a.

Explanation:

In the reaction below, how would adding more of product C affect the equilibrium of the system? (2 points) A + B ⇄ C + D Group of answer choices Shift it to the right toward the products. Shift it to the left toward the reactants. Equally create more products and reactants. It would have no effect.

Answers

Answer:

identify the action reaction force in the following cases

a boy walking on the ground

firing a bullet from the gun

a book lying on the table

a boy swimming in the swimming pool

launching of a rocket from the earth surface

Answer:

A Shift it to the right towards the products

Explanation:

If more reactants or products are added to a reaction system at equilibrium, the equilibrium will shift away from what was added to lower its concentration. If a reactant or product was removed from a reaction system at equilibrium, the equilibrium systems will shift to replace some of what was removed.

Direction:choose only the letter of your answer in the box.
A-Everyday
B-4-6 Times a week
C-2-3 Times a week
D-cut Down on

Answers

Answer:

A,

Explanation:

im going to choose a because they should probably still water it so it doesn’t die at least until it grows or gets a little bigger.

When electricity is “used” or we say that energy is “wasted,” what is actually happening?

Answers

Answer:

Wasted energy is energy that is not usefully transferred or transformed. Energy cannot be made or destroyed. Energy is transformed into a different form that can be used. When energy is transformed or transferred only part of it can be usefully transformed or transferred.

4. if the experiment had been repeated with frequencies 10 times lower than those in table 5.2,
what effect would that have on the experiment? (1)

Answers

If the experiment had been repeated with frequencies 10 times lower than those in table 5.2, then Vc will increase 10 times to the values given in the table.

What is frequency?

It is the number of oscillations per second of the sinusoidal wave.

Vc is the voltage across the capacitor and Xc is the capacitive reactance.

Xc = - 1/2πfC

where f is the frequency and C is the capacitance of the capacitor.

If the frequency is lowered, the potential difference will increase because frequency is inversely proportional to the voltage.

Thus, Vc will increase by lowering the frequency by 10 times.

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Which two statements are true of electromagnetic waves?

Answers

Answer:

I think it is A and D

Explanation:

You are working with an existing fiber optic installation in your building. you want to know the length of each cable that runs through the walls.which tool should you use

Answers

Answer:

you will use the OTDR tool ti will very much so help

Explanation:

Shyam saw a cylindrical copper rod in his store room he realise that it can be used for various purposes it can be used as a flower ways by covering it one side face with any metal it can be used as a conductor or it can be used as a cylindrical box by covering both the side face with metal he measure the radius of the rod with 3% and length of rod with 7% error error percentage is measuring the volume of the cylinderical box is

Answers

The error percentage in measuring the volume of the cylindrical box is 6.3 x 10⁻³ %

Error percentage in measuring the volume of the cylinder

The total error percentage in measuring the volume of the cylinder is calculated as follows;

Volume of cylinder = πr²h

Volume of cylinder = π(0.03r)²(0.07h)

Volume of cylinder = (6.3 x 10⁻⁵)πr²h

Error in measuring the volume = 6.3 x 10⁻⁵ x 100% = 6.3 x 10⁻³ %

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as the moon phase approaches full we say the Moon is doing what

Answers

As the moon phase approaches full we say the Moon has now completed one half of the lunar month.

What is Lunar month?

This is defined as the time it takes the Moon to pass through all of the phases.

When the moon approaches full then itn has completed one half of the lunar month which is the time taken to form a new moon.

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