Suppose a vehicle begins at rest at t=0 and accelerates at a rate given by the equation a(t) = (15 m/s^) t . Assume nonuniform acceleration.

Find the velocity a 3 seconds.

Find the displacement at 3 seconds.

Must show work.

Answers

Answer 1

Answer:

See below

Explanation:

Since it is non-uniform acceleration ( it varies with time as given)

The integral of acceleration is velocity

so integrate between 0 and three   15 m/s^2 t

    =   1/2  ( 15 t^2 )   + k      between 0 and 3    ( k is a constant we will ignore)

            = 67.5   - 0     =   67.5 m/s   velocity

the integral of velocity is displacement

 1/2 (15t^2 )   integrated becomes     1/6 15 t^3    from 0 to 3  ( ignoring a constant again)

                                      1/6 * 15 * (3^3 ) = 67.5 meters displacement

THANX for those who noted my errors in my first posted response !!


Related Questions

Which of the following will help you stay motivated to achieve your goals?
O A.
Keep them to yourself
O B.
Never review your goals
O C.
Post your goals in an obvious place
O D.
None of the above

Answers

Answer:

C. Post your goals in an obvious place

Explanation:

Being able to look at your goals and check in on the progress of those goals in a place you know where they are so there's no worrying if you might have forgotten one or two and or havent done them is a good way to stay active and keep motivated with your goals. Making notes or specifications on those goals and trying to think over goals is also something you should do. Ignoring or forgetting your goals because you didnt write them down or put them in a secure place can ruin motivation and make you tired cause keeping track of those goals become a chore.

Johanna is studying what happens to the energy as a ball rolls down a ramp. what is she studying? select three options. gravitational potential energy electrical energy kinetic energy mechanical energy elastic potential energy

Answers

Answer:

a c d the correct ....

Explanation:

...........


A bucket of water with weight of 50N is pulled up using a rope. The bucket is moving at
a constant velocity, what is the tension in the rope?

A: 25N
B: 0.0N
C: 100N
D: 50N

Answers

The answer would be letter C

Alana organized some resources in a table. which best describes alana’s error? geothermal energy is not found underground. petroleum is limited in supply. sunlight cannot be used to generate electricity. coal is not considered a fossil fuel.

Answers

Which energy is best discribed for you and math

Answer: B) Petroleum is limited in supply

Explanation: Have a Great day!!

A 40kg cart gains a KE of 200J. How fast does it go?

Answers

Answer:

3.16 m/s

Explanation:

Use the formula

[tex]k = \frac{m {v}^{2} }{2} \\ v = \sqrt{ \frac{2k}{m} } \\ v = \sqrt{ \frac{2(200)}{40} } \\ v = 3.16 \frac{m}{s} [/tex]

Calculate the pressure when a force of 200N acts on an area of 0.05cm2
.

Answers

FORCE ACTING ON THE BODY , F = 200N

AREA ON WHICH THE FORCE IS ACTING , A = 0.05 CM²

= 0.05*(10⁻²)

= 0.05*10⁻² M²

TO CONVERT CM TO M * BY 10⁻²

PRESSURE = FORCE / AREA

PRESSURE = 200/0.05*10⁻⁴

= 200*10⁴/0.05

= 200*10⁴*10²/5

= 20*10⁵/5

= 4*10⁵ N/M².

HOPE THIS HELPS.

A sound wave is produced and begins to travel from left to right through four different media. The speed of the wave varies as it travels. The media are solid, liquid, gas, and a vacuum, but not necessarily in that order. Which speed MOST likely represents a gas

Answers

The speed most likely representing a gas will be 334 m/sec. A sound wave is produced when a medium begins to vibrate. When an entity vibrates, a pressure wave is formed, which causes sound.

What is a sound wave?

When an object vibrates, a pressure wave is created, which produces sound. The particles in the surrounding medium (air, water, or solid) vibrate as a result of the pressure wave.

The vibrations of the particles move nearby particles, allowing the sound to travel further through the medium.

Hence, the speed most likely representing a gas will be 334 m/sec.

To learn more about the sound wave, refer to the link;

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the mass of two balls is 0.80 kg each and they are separated by a distance of 0.25 meters. please calculate the gravitational force between the two balls

Answers

F= GMm/r2
F= 6.67*10^-11 * 0.80*0.80/ (0.25*0.25)
F= 4.27*10^-11/ (0.06)
F= 6.83*10^-10 N and the force is attractive

PLEASE HELP ME
A/An _____ is a material in which charges will not move easily, whereas a/an _____ is a material that allows charges to move about easily. Question 3 options: conductor, insulator insulator, conductor electroscope, conductor insulator, electroscope

Answers

Answer:

The answer is Insulator, Conductor

Explanation:

A/An Insulator is a material in which charges will not move easily, whereas a/an Conductor is a material that allows charges to move about easily

A current of 1.3 A passes through a lamp with a resistance of 5 Ohms. What is the power supplied to the lamp in Watts

Answers

Answer:

8.45 w

Explanation:

Power = i^2 r

            1.3 ^2 * 5 = 8.45 watts

How high off the ground must you be if you mass is 75 kg and you have 11,025 J of energy stored inside?

Answers

Answer:

15 m

Explanation:

Given,

Mass ( m ) = 75 kg

Potential energy ( P.E ) = 11,025 J

To find : Hight ( h )

Formula : -

P.E = mgh

[ Note : The value of g = 9.8 m/s² ]

h = P.E / mg

  = 11,025 / ( 75 x 9.8 )

  = 11,025 / 735

h = 15 m

Hence,

15 m is the high off the ground must you be if you mass is 75 kg and you have 11,025 J of energy stored inside.

Select the best answer.
Which of the following represents a thick layer of solid and
partially melted rock?
Crust
Outer Core
Mantle
Inner Core


Answers

Answer:

C. Mantle

Explanation:

The Mantle is a thick layer of solid and partially melted rock

A block of mass 2. 0 kg, starting from rest, is pushed with a constant force across a horizontal track. The position of the block as a function of time is recorded, and the data are shown in the table. What is the magnitude of the change in momentum of the block between zero and 4. 0 seconds?.

Answers

The magnitude of the change in momentum of the block between zero and 4. 0 seconds is

dp=1.6m/s

What is the magnitude of the change in momentum of the block between zero and 4. 0 seconds?

Generally, the equation for the kinematics equation is mathematically given as

x=x+ut+0.5at^2

Therefore

1.6=0+0+0.5*a*1^2

a=0.2m/s^2

In conclusion,  change in momentum

dP=mv-mu

2.0*0.8-0

dp=1.6m/s

Read more about Force

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If an object goes through a
chemical reaction, but does not
change in mass, that object has
A. the same amount of gravity
B. more gravity
C. less gravity

Answers

Answer:

A, The same amount of gravity

Explanation:

If an object goes through a chemical reaction, but does not change in mass, that object has the same amount of gravity.

What is chemical reaction?

A chemical reaction is a process that leads to the chemical transformation of one set of chemical substances to another. Chemical reaction include changes in color, temperature, the production of light, changes in odor, and the formation of gases.

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Question 14:A light bulb is connected to a 110-V source. What is the resistance of this bulb if it is a 100-W bulb

Answers

By the use of Ohm's law, the resistance of the bulb is 121 ohms

What is electrical power?

Let us recall that power is the rate of doing work. Now we know that the voltage of the power source is 110-V and the power is 100-W.

Since;

P= IV

I = P/V

I = 100/110

I = 0.91 A

Again;

V= IR

R = V/I

R = 110/0.91

R = 121 ohms

Learn more about resistance: https://brainly.com/question/11431009

photosynthesis is an endothermic reaction that plants use to store energy from the ______________

Answers

I think the answer would be sun they get energy from the sun

Which of these statements is true about severe weather?
Severe weather does not cause enough injuries to take precautions.
Weather situations can be prepared for in many cases,
Severe weather can be avoided in certain areas of the country.
Preparation is impossible for extreme weather situations.

Answers

Answer:

Weather situations can be prepared for in many cases,

Explanation:

Help !

An object is at a distance of 3 centimeters from a lens with a focal length of 1 centimeter. The lens creates an image on the same side of the object. What kind of lens is this? What is the image location? Is the image real or virtual?

Answers

Answer:

Biconcave lens or Diverging lens.

Virtual Image

0.75cm on the same side as the object.

Explanation:

Biconcave lens. Biconcave lenses form all images at the same side as the object. Although a biconvex lens can exhibit the same phenomena, it only occurs when the object is in between the focal point and the optical center (object distance<focal length). From the given parameters, the object distance is 3cm and the which is obviously greater than the focal length.

So, we conclude that the lens used is a biconcave lens.

A concave lens (biconcave, plano-convex,) alway produces a virtual image.

Let u, v and f represent the object distance, image distance and focal length of the lens respectively.

In this case,

u = 3cm

v = ?

f = -1cm ( f is negative for diverging lenses)

1/f = (1/u) + (1/v)

-1 = (1/3) + (1/v)

v = -3/4cm = -0.75 cm

The negative sign means that it's a virtual image.

The woman pushes on the door. If her force is the action force, which of these describes the reaction force?

A. The door pushes back on her hand
B. The door pushes forward
C. The door pushes against the wall
D. The door is pulled downward by gravity

Answers

Answer:

Option A

Explanation:

since the woman pushed on the door, the door pushes back on the girl's hand since every action has an equal and opposite reaction.

if you need any further help make sure to ask:)

A cube of wood 20 cm on each side is placed in a tub of water and is found to sink so that only 6 cm of the block is above the water. What is the density of the wood

Answers

The density of the cube of wood placed in the tub of water is determined as 700 kg/m³.

Specific gravity of the wood

The specific gravity of the wood is the fraction of the entire wood volume below water surface.

Height below water surface = 20 cm - 6 cm = 14 cm

S.G = 14 cm/20 cm

S.G = 0.7

Density of the wood

The density of the wood is calculated with respect to density of water.

S.G = ( density of wood) / (density of water)

0.7 =  (density of wood) / (1000 kg/m³)

density of wood = 0.7 x 1000 kg/m³

density of wood = 700 kg/m³

Learn more about density here: https://brainly.com/question/6838128

What is the gravitational potential energy stored in a 60 kg boy sitting at the top of a 2 m high slide? (g = 10 N/kg)?

Answers

Answer:

1200 Joules

Explanation:

PE = mgh

PE = 60 * 10 * 2

PE = 1200 Joules

The gravitational potential energy stored in a [tex]60 Kg[/tex] boy sitting at the top of a [tex]2 m[/tex] high slide is [tex]1200 J[/tex].

What is potential energy?

Potential energy is the energy possessed by a body by virtue of its position relative to others.

[tex]U = mgh[/tex]

Where,

[tex]U =[/tex] potential energy

[tex]m =[/tex] mass

[tex]h =[/tex] height

[tex]g =[/tex] acceleration due to gravity

It represents the potential an object has to do work as a result of being located at a particular position in a gravitational field.

The energy that a ball has when placed at a top of a steep hill while it is about to roll down is an example of potential energy.

Given:

[tex]m = 60 Kg[/tex]

[tex]h = 2m[/tex]

Potential energy is

[tex]U = mgh\\U = 60*10*2\\U = 1200 J[/tex]

Potential energy is [tex]U = 1200 J[/tex]

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Blue light is bent more by a prism than orange light. Does blue light or orange light have a larger index of refraction in glass?.

Answers

yes blue light has a larger refractive index than orange as refractive index varies proportionally with frequency and indirectly with wavelength hence the light with the greatest frequency and shortest wavelength (violet) will have the greatest refractive index

An object with a mass of 1.5 kg changes its velocity from 15 m/s to 22 m/s during a time interval of 3.5 seconds. what impulse was delivered to the object? 3.0 n • s 11 n • s 25 n • s 56 n • s

Answers

Answer:

11 Ns

Explanation:

Formula

Impulse = Force x time

Calculating Force

F = maF = m(v - u / t) [From 1st Law of Motion : v = u + at]F = 1.5(22 - 15 / 3.5)F = 1.5 (7/3.5)F = 1.5 x 2 = 3 N

Calculating Impulse

J = F x tJ = 3 x 3.5J = 11.5 Ns ≅ 11 Ns (closest answer)

Answer:

is (B) 11 N • s

Explanation:

trust me I got it right

Calculate the gravitational force acting on a 251 kg satellite at an altitude of of 1.2*10^4km above Earth's surface.

(The question provided the Earth's radius and mass)
Me = 5.97*10^24
Re = 6.38*10^6

I think my calculator might be acting up today so if you could provide everything step by step that would be very nice

Answers

Answer:

296.1N

Explanation:

The formula for force of gravity is GMm/r^2, where G is the gravitational constant, M is mass object A, m is mass object B and r is distance from the CENTER of object A to object B. First, lets solve GMm. G*5.97*10^24*251=1*10^17

Now lets solve for r:

r=(Re+r)=(6.38*10^6+1.2*10^4)

While it makes sense, distance of the sattelite is in Kilometers, and we need it in meters, so:

r=(Re+r)=(6.38*10^6+1.2*10^4*1000)=18380000

now to the solving:

1*10^17/18380000^2=296.1N

In a circuit, the current at a location is 4 amps and the voltage is 9 V. What is the Power at this location of the circuit?

Answers

Answer:

36 watts

Explanation:

Power = V I

          = 9 * 4 = 36 watts

Answer:

P = 36 W

Explanation:

Given that,

→ Potential difference (V) = 9 V

→ Current (I) = 4 A

→ Power (W) = ?

Formula we use,

→ P = V × I

Let's solve the problem,

→ P = V × I

→ P = 9 × 4

→ [ P = 36 ]

Hence, the power is 36 watts.

What is the minimum value that the index of refraction can have?.

Answers

The answer is 1, but refractive indices less than 1 can occur and if the phase velocity of the light in the medium is faster than the speed of light. This often occurs close to the absorbance resonances of the material.

Hope this helps!
Please give Brainliest!

How much work does it take to lift 345 boxes to a height of 6.00 m of each box has a mass of 7.89 kg

Answers

Given the value of the mass of each boxes, the work done in lifting the boxes to the given height is 1.6 × 10⁵J.

Work done

Work done is simply defined as the energy transfer that takes place when an object is either pushed or pulled over a certain distance by an external force. It is expressed as;

W = F × d

Where F is force applied or Weight and d is distance

Also Force = Weight = mass × acceleration due to gravity.

Since gravity is acting on the boxes as it been lift

W = Weight × height from ground level

W = mg × d

Where m is mass of the boxes, g is accelration due to gravity( g = 9.8m/s² ) and d is distance from ground level.

Given the data in the question;

Since each box has a mass of 7.89 kgMass of the 345 boxes = 345 × 7.89 kg = 2722.05kgDistance or height d = 6.0mWork done W = ?

To determine the work done, we substitute our values into the expression above.

W = mg × d

W = 2722.05kg × 9.8m/s² × 6.0m

W = 160056.5kgm²/s²

W = 160056.5J

W = 1.6 × 10⁵J

Therefore,  Given the value of the mass of each boxes, the work done in lifting the boxes to the given height is 1.6 × 10⁵J.

Learn more about work done here: brainly.com/question/26115962

Complete the following sentence. The World Wide Web launched to the public in.


HURRY 1 MINUTE LEFT

Answers

January 1st 2000

Hope this helps:):):):):)

Answer:

January 1st, 2000

Explanation:

I hope this has helped you!

Which of the following statements is TRUE about the transfer of energy from the sun to
the land and to the air?

A.Sunlight transfers energy from the sun to the air and from the sun to the land, but the land does
not transfer energy to the air

B.Sunlight transfers energy from the sun to the air, but sunlight does not transfer energy from the
sun to the land and the land does not transfer energy to the air

C.Sunlight transfers energy from the sun to the land and from the sun to the air, and the land
transfers energy to the air

D.Sunlight transfers energy from the sun to the land, but sunlight does not transfer energy to the
air and land does not transfer energy to the air

Answers

Answer:

C is the correct answer I believe

Explanation:

Without the Sun , Earth's land, water, and air would all be frozen. Energy is transferred from the sun to Earth via electromagnetic waves, or radiation

Energy is transferred between the Earth's surface and the atmosphere in a variety of ways, including radiation, conduction, and convection.

The principal limitation of wind power is unpredictability. please select the best answer from the choices provided t f

Answers

Answer:

T

Explanation:

Hard to know when the wind will blow .

The principal limitation of wind power is unpredictability. this statement is very much true.

What is wind power?

In order to produce electricity, wind turbines are mostly used in wind power as well as wind energy. In comparison to burning fossil fuels, wind energy is a well-liked, environmentally friendly, renewable energy source.

Although weather forecasting has become more accurate over time, it is still challenging to anticipate how much and when wind will blow where and when it will. Even though some regions are known to experience more wind than the others, there is currently no way to predict that however much wind here will be because of the inconsistent nature of weather patterns.

Therefore, the given statement is true.

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Your question is incomplete but most probably your full question was,  

The principal limitation of wind power is unpredictability. Please select the best answer from the choices provided

a. True

b. False

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