A shopping cart given an initial velocity of 2.0 m/s undergoes a constant acceleration of 3.0 m/s2. What is the cart’s displacement after the first 4.0 s of its motion?
What is your car's initial velocity?

How long is the cart accelerating for?

What is the acceleration of the cart?

Write the equation you will use to solve this problem.

What is the displacement of the shopping cart?
32 m
10 m
55 m
80 m

Answers

Answer 1

Final Velocity = 14m/s

Displacement = 56m

Explanation:

U (initial velocity) = 2m/s

A (acceleration) = 3m/s^2

T (time) = 4s

v (final velocity) = ?

S (displacement) = ?

FIRST FIND FINAL VELOCITY:

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

(i) Multiply both sides by t:

[tex]a \times t = v - u[/tex]

(ii) Add u to both sides:

[tex](a \times t) + u = v[/tex]

(iii) rearrange formula:

[tex]v = (a \times t) + u[/tex]

v = ( 3 × 4 ) + 2

v = 12 + 2

v = 14m/s

SECOND FIND DISPLACEMENT:

[tex]v = \frac{s}{t} [/tex]

(i) Multiply both sides by t:

[tex]v \times t = s[/tex]

(ii) Rearrange formula:

[tex]s = v \times t[/tex]

s = 14 × 4

s = 56m

Not sure why it isn't one of the options but im pretty sure I did all the steps right...


Related Questions

feather is dropped from 13 m high after it has fallen 3 m what is its acceleration

Answers

Answer:

Explanation:

The constant acceleration of any object, neglecting air resistance and friction, is always -9.8. Proof:

[tex]s(t)=-4.9t^2+13[/tex] which is the position of this feather before it is dropped. The first derivative of position is velocity, so the velocity function for the feather is:

[tex]v(t)=-9.8t[/tex]. We could find the velocity that the feather is experiencing at 3 seconds, but that is not what we are being asked. What we are being asked is the acceleration of the feather at 3 seconds. So we find the acceleration function of the feather:

a(t) = -9.8

It turns out that the time doesn't matter to acceleration due to gravity because feathers and elephants all fall under the same pull.

A value that describes how heavy an object is and is related to the force of gravity is:

Answers

The weight of an object

Answer: B) weight

Got it right on E2020

If the speed of a roller coaster at the bottom of a hill is 20.0 m/s , what is the tallest hill the coaster can climb, assuming no friction losses ?

Answers

Answer:

20.4 meters

Explanation:

KE = 1/2 m v^2 = mgh = PE (convert all kinetic energy to potential energy, because at the highest point the coaster can climb, it will be stopped!)

=> h = (1/2 m v^2) / (mg) = v^2/(2*g) = (20 m/s)^2 / (2*9.8 m/s^2) = 20.4 m

The tallest height that the roller coaster can climb is 20 m.

A roller coaster is a device in which energy conversions from potential to kinetic energy takes place. Hence the roller coaster can easily be used to demonstrate the conversion of mechanical energy from one form to another.

Given that the velocity of the roller coaster at the bottom of the hill is  20.0 m/s, potential energy is converted into kinetic energy.

Hence;

mgh = 1/2mv^2

gh =1/2v^2

h = 1/2v^2/g

h = 0.5 × (20)^2/10

h = 20 m

Learn more: https://brainly.com/question/999862

Mass is sometimes described as the difficulty of acceleration of an object. How does Newton's second law agree with this description?

Answers

Answer:

Increasing force tends to increase acceleration while increasing mass tends to decrease acceleration. Thus, the greater force on more massive objects is offset by the inverse influence of greater mass. Subsequently, all objects free fall at the same rate of acceleration, regardless of their mass.

If the mass increases, it's harder to accelerate

Because force tends to rise with mass while mass tends to decrease with force, mass is sometimes referred to as the difficulty of accelerating an item. As a result, the greater mass's inverse effect balances out the larger force exerted on more massive objects.

Newton's second law agreement with difficulty of acceleration of an object-While acceleration tends to decrease as mass increases, it tends to increase as force increases. As a result, the bigger force acting on more massive objects is balanced off by the greater mass's inverse effect.As a result, all things fall in free fall at the same rate of acceleration regardless of mass. As the mass increases, accelerating becomes more difficult.Newton's second law of motion is applicable when there are unbalanced forces acting on an object.The second law states that an object's rate of acceleration depends on both its mass and the net force acting on it.An object's acceleration is directly proportional to the net force applied on it and inversely proportional to its mass.An object's acceleration increases as the amount of force exerted on it does.A decreasing acceleration is caused by a rise in an object's mass.The acceleration of an item caused by a net force is inversely proportional to the mass of the object and directly proportional to the magnitude of the net force in the same direction.

To learn more about Newton's second law of motion click here-

https://brainly.com/question/13447525

#SPJ2

PLZ HELP!! List properties of ions.

Answers

Ionic compounds typically have high melting and boiling points, and are hard and brittle. when melted or dissolved they become highly conductive, because the ions are mobilized.

If a rock hits the ground with a KE of 33,000 J, falling from a height of 10 m, what is its weight? Remember, weight is measured in newtons (N), and is equal to mass times gravity.
A. 330 N
B. 33 N
C. It can't be computed from this information
D. 3,300 N​

Answers

Answer is 3,300N

Explanation

Harry is reading an online summary of the law of reflection. The site states that after light hits a mirror, the angle of reflection is the angle between the reflected ray and the normal, which is the surface of the mirror.

Which statement corrects an error on the site?

Answers

Answer:

A

Explanation:

4- If the length of the pendulum 28 cm and the mass of the bullet (projectile) is 70 g, and the mass of the block 240 g, and the maximum angle reached is ϴ = 44˚. Answer the followings:
a. The maximum height reached.



b. The mechanical energy after collision.



c. The bullet velocity.

Answers

bhai I know this answer if you mark as brain last you see my attachment

You are traveling down the highway when you notice a cop 200 meters ahead of you. For the next 5 seconds, you step on the bake to avoid a speeding ticket. The brake causes an acceleration on your car of -2.0 m/s^2.

Answers

Answer:

ok, I don't see the question.

Explanation:

The diagram shows the electrical circuit inside a flashlight when the switch is
open and closed.

Which series of energy transformations occurs when the switch is closed?

A. Chemical energy - Electrical energy - Light energy
B. Mechanical energy - Light energy - Electrical energy
C. Electrical energy Light energy - Mechanical energy
D. Light energy - Electrical energy - Chemical energy

Answers

Answer:

A.

Explanation:

I got it right ;)

Answer:

Chemical energy ---> Electrical energy ---> Light energy

Explanation:

Look at the Kunoichi's of Naruto but as a Gang.

Who do you think looks the baddest out of the group(but in a good way)?

My opinion is Hinata...just saying

Answers

Answer:

hinata for sure

Explanation:

seems reasonable

A 1.20 kg solid ball of radius 40 cm rolls down a 5.20 m long incline of 25 degrees. Ignoring any loss due to friction, how fast will the ball be rolling when it reaches the bottom of the incline?

Answers

Answer:

1.6s

Explanation:

Given that A 1.20 kg solid ball of radius 40 cm rolls down a 5.20 m long incline of 25 degrees. Ignoring any loss due to friction,

To know how fast the ball will roll when it reaches the bottom of the incline, we need to calculate the acceleration at which it is rolling.

Since the frictional force is negligible, at the top of the incline plane, the potential energy = mgh

Where h = 5.2sin25

h = 2.2 m

P.E = 1.2 × 9.8 × 2.2

P.E = 25.84 j

At the bottom, K.E = P.E

1/2mv^2 = 25.84

Substitutes mass into the formula

1.2 × V^2 = 51.69

V^2 = 51.69/1.2

V^2 = 43.07

V = 6.56 m/s

Using the third equation of motion

V^2 = U^2 + 2as

Since the object started from rest,

U = 0

6.56^2 = 2 × a × 5.2

43.07 = 10.4a

a = 43.07/10.4

a = 4.14 m/s^2

Using the first equation of motion,

V = U + at

Where U = 0

6.56 = 4.14t

t = 6.56/4.14

t = 1.58s

Therefore, the time the ball rolls when it reaches the bottom of the incline is approximately 1.6s

Let the force of the Moon on the Earth be F1. Let the force of the Earth pulling on the Moon be F2. Which of the following is greater?

Answers

they are both the same because of newton’s third law

What power is supplied to the starter motor of a large truck that draws 290 A of current from a 20.4 V battery hookup?

Answers

Answer:

Power = 5.916 Kw

Explanation:

Given:

Current = 290 A

Volt = 20.4 V

Find:

Power

Computation:

Power = IV

Power = (290)(20.4)

Power = 5916 w

Power = 5.916 Kw

A motorcycle has a mass of 240 kg and accelerates at a rate of 4 m/s2
Work out the driving force of the motorcycle.
Solution:
Using
F = m a
F = 240 x 4
F = 960 N​

Answers

Answer:

960N

Explanation:

Given parameters:

Mass of the motorcycle = 240kg

Acceleration of the motorcycle  = 4m/s²

Unknown:

Driving force of the motorcycle  = ?

Solution:

According to the Newton's second law of motion "the force on a body is the product of mass and acceleration".

    Force  = mass x acceleration

Insert the parameters and solve;

   Force  = 240 x 4  = 960N

You are riding in an elevator that is accelerating upward. Suppose you stand on a scale. The reading on the scale is __________.

a. Greater than your true weight
b. Equal to your true weight
c. Less than your true weight
d. It's impossible to determine

Answers

Answer: A

Explanation: Your body gets pulled down, causing ur body to have more weight but not mass.

Less than true weight

What is matter made of


Answers

Answer: Matter is made up of atoms that also come together to form molocules. Atoms contain Electrons (Negetive), nutronons (nuaetral), and protons (positive).

?
_2. Region surrounding the nucleus where electrons are found.
?
_3. Positively charged center of an atom.
?
4. Particles that differ in number between isotopes.

Answers

Answer:

Electron shell

Nucleus

Neutrons

Explanation:

An atom is made up of three fundamental subatomic particles which are the protons, neutrons and electrons.

Protons are the positively charged particles. Neutrons do not carry any charges. Both protons and neutrons are found in the tiny nucleus at the center of that atom. The electrons are negatively charged. They are found outside the nucleus in electronic shells.

A person weighs 780N on earth. What is his mass on earth, mass on moon? What is his weight on the moon?

Answers

Answer:

79.6kg  

127.5N

Explanation:

Given parameters:

Weight of the person on earth = 780N

 Now, we are to find;

Mass on earth;

Mass on moon;

Weight on moon

Solution:

The mass on earth and on the moon are the same. Mass is the amount of matter in a substance.  

   Weight  = mass x acceleration due to gravity

     780  = mass x 9.8

           mass  = [tex]\frac{780}{9.8}[/tex]   = 79.6kg

Mass on earth and moon  = 79.6kg  

The acceleration due to gravity on the moon is 1.6m/s²

  Weight on moon = 79.6 x 1.6  = 127.5N

If a 28-N force causes a rock to accelerate at 4 m/s/s, what is the mass of the rock?

Answers

Answer:

Explanation:

we know that

F=ma

F=28 N

a=4 m/s²

m=F/a

m=28/4

m=7 kg

A cube of wood having an edge dimension of 19.5 cm and a density of 651 kg/m3 floats on water.

Required:
a. What is the distance from the horizontal top surface of the cube to the water level?
b. What mass of lead should be placed on the cube so that the top of the cube will be just level with the water surface?

Answers

Answer:

a)   y ’= 0.068 m ,  b)   m_lead = 2,599 kg

Explanation:

a) To solve this exercise, let's use Archimedes' law, which establishes that the pressure of the water is equal to the weight of the dislodged liquid.

Let's write the forces in the equilibrium condition

            B - W = 0

            B = W

Thrust is

            B = ρ_liquid g V_water

Body weight is

             W = m g

the definition of density

           ρ_body = m / V

we substitute

            W = ρ_body g V_body

The volume of the body is

          V_body = L³

The volume of water is

          V_agua = y L²

we substitute

           ρ_liquid g and L2 = rho_body g L3

           ρ_liquid y = ρ_body L

           y = L ρ_body /ρ_liquid

let's calculate

          y = 651/100 0.195

          y = 0.1269 m

this is the distance from the bottom of the cube, the distance from the top of the cube

          y ’= 0.195 -y

          y '= 0.195 - 0.1269

          y ’= 0.068 m

b) In this case the equilibrium equation is

          B - W_body - W_lead = 0

          B = W_body + W_lead

          ρ_liquido g V_liquido = ρ_body g V_body + m_lead g = 0

          ρ_liquid L3 = ρ_body L3 + m_lead = 0

          m_lead = L3 (ρ_liquid - ρ_body)

           

let's calculate

          m_lead = 0.195 3 (1000 - 651)

          m_lead = 2,599 kg

Superman strikes a golf ball on the ground at a 38 degree angle above the horizontal at 147 m/s. What is the maximum height the golf ball reaches?

255 m


418 m


687 m


1103 m

Answers

The ball is hit with an initial vertical velocity of

(147 m/s) sin(38º) ≈ 90.5 m/s

Recall that

v ² - u ² = 2 ay

where u and v are initial and final velocities, respectively; a is acceleration; and ∆y is displacement.

Vertically, the ball is in freefall, so it is only subject to acceleration due to gravity, with magnitude g = 9.80 m/s² in the downward direction. At its maximum height, the ball has zero vertical velocity (v = 0) and the displacement is equal to the maximum height, so

0² - (90.5 m/s)² = 2 (-g) ∆y

y = (90.5 m/s)² / (2g)

y418 m

A force is exerted on a charge carrying particle by a ________ _____ only when the particle moves ________the field lines. If a charged particle moves parallel to the magnetic field, the force exerted by the magnetic field on the charged particle is__________.

Answers

Answer:

  force is exerted on a charge carrying particle by a MAGNETIC FIELD only when the particle moves PERPENDICULAR the field lines. If a charged particle moves parallel to the magnetic field, the force exerted by the magnetic field on the charged particle is_ ZERO

Explanation:

This complementation exercise refers to the magnetic force that the formula has

         F = q v x B

where the bold letters indicate vents and the x the vector product. The module of this product is

         F = qv B sin θ

where θ  is the angle between the speed and direction of the magnetic field.

It can be seen that for the force to be different from zero, the angle must not be parallel θ  = 0

        sin 0 = 0

the maximum value is obtained for an angle of θ  = 90º

       sin 90 = 1

Using these concepts we see that the missing words are.

  force is exerted on a charge carrying particle by a MAGNETIC FIELD only when the particle moves PERPENDICULAR the field lines. If a charged particle moves parallel to the magnetic field, the force exerted by the magnetic field on the charged particle is_ ZERO_______

Light reflects off many objects. Which model of light behavior best helps explain this effect7(2 points)
оа
Particle model
b
Wave model
Ос
Magnetic model
Od
Electric model

Answers

B)Wave model

Electromagnetic radiation (e.g., radio, microwaves, light) can be modeled as a wave of changing electric and magnetic fields or as particles called photons. The wave model is useful for explaining many features of electromagnetic radiation, and the particle model explains other features

The ___ of a wave is the reciprocal of its frequency.

Answers

Answer:

time period of the wave

Answer:

The Frequency of a wave is the reciprocal of its Period

The Period of a wave is the reciprocal of its frequency

Explanation:

A P E X

what is the surface pressure of Venus?

Answers

answers 93 bar

The atmosphere of Venus is the layer of gases surrounding Venus. It is composed primarily of carbon dioxide and is much denser and hotter than that of Earth. The temperature at the surface is 740 K (467 °C, 872 °F), and the pressure is 93 bar (9.3 MPa), roughly the pressure found 900 m (3,000 ft) underwater on Earth.

Which TWO statements describe events that help drive tectonic plate movement

A. Energy from the sun heats magma beneath earths surface

B. Convection currents cause hotter magma to rise and cooler magma to sink

C. Thermal energy from earths core is transferred outward to the mantle by conduction

D. Subduction plates cause cooling at convergent boundaries

Answers

Answer:

The answer is D & B

Explanation:

I took the quiz on this.  I hope this helps!

The two statements describe events that help drive tectonic plate movement are:

B. Convection currents cause hotter magma to rise and cooler magma to sink

D. Subduction plates cause cooling at convergent boundaries

What is a tectonic plate?

A tectonic plate (also called lithospheric plate) is a massive, irregularly shaped slab of solid rock, generally composed of both continental and oceanic lithosphere.

Plate size can vary greatly, from a few hundred to thousands of kilometers across; the Pacific and Antarctic Plates are among the largest.

Plate thickness also varies greatly, ranging from less than 15 km for young oceanic lithosphere to about 200 km or more for ancient continental lithosphere (for example, the interior parts of North and South America).

Tectonic plates, large slabs of rock that divide Earth’s crust, move constantly to reshape the Earth’s landscape. The system of ideas behind plate tectonics theory suggests that Earth's outer shell (lithosphere) is divided into several plates that glide over the Earth’s rocky inner layer above the soft core (mantle).

The plates act like a hard and rigid shell compared to Earth's mantle. The mantle sits between Earth's dense, very hot core and its thin outer layer, the crust.

At subduction zones, a convergent boundary occurs when two tectonic plates push together. When an ocean plate and a continental plate collide, the ocean plate slides under the continental plate, and bends downward.

To know more about tectonic plates follow

https://brainly.com/question/1162125

If a 28-N force causes a rock to accelerate at 4 m/s/s, what is the mass of the rock?

Answers

Answer:

7kg

Explanation:

Given parameters:

Force on the rock  = 28N

Acceleration  = 4m/s²

Unknown:

Mass of the rock  = ?

Solution:

According to newton's second law of motion;

           Force  = mass x acceleration

Insert the given parameters to find the mass;

         28  = mass x 4

             mass  = [tex]\frac{28}{4}[/tex]   = 7kg

Which formula can be used to find the tangential speed of an orbiting object? v = StartFraction 2 pi r over T EndFraction v = StartFraction square root of 2 pi r over T EndFraction v = GStartFraction m Subscript central Baseline over r EndFraction v = rStartFraction (m Subscript central Baseline) over G EndFraction

Answers

Answer:

It's A v=2pi/T

Explanation:

I took the test and got it correct.

The correct formula that can be used to find the tangential speed of an orbiting object is : ( A ) v = 2π r /T

Tangential speed

Tangential speed is the speed or velocity of an object moving in a circular path is calculated as 2π r/T where T = time it takes to complete one rotation and   2π r is angular velocity( w ).

Therefore from the options listed above the correct expression for the tangential speed is v =2π r /T

Learn more about Tangential speed : https://brainly.com/question/19660334

What does a generator do?
O A. Turns mechanical energy into electrical energy
O B. Turns sound energy into electrical energy
O c. Uses electricity to make magnets
O D. Turns electrical energy into mechanical energy

Answers

A — hope that helps!
Other Questions
08408519 kahoot code Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 1 3 (y2 + 2)3/2, 3 y 4 thats nice but did you know geico can save you 20% more on car insurancejust take it ;) happy early thanksgiving Which questions best help determine whether a news source is reputable and objective? Select three options. In what order does the news source choose to present the headlines? Does the news source use language that might lead to an emotional response? Is the news source primarily an online news source or a print news source? Does the news source offer the news for free, or is a paid subscription necessary? What type of language do the reporters use in the published news stories? Explain 3 reason why women should play sports? And one reason why women shouldnt play sport. Relaciona. Match each person or group with the appropriate sentence ending.Group of answer choicesJuana y Silvia Mi mam Cmo Mi hermano y yo El chico What kind of figurative language is this? Two kids are swinging on a swing set. If one kid is larger than the other, how would it affect their kinetic and potential energy? If they both jumped off the swing, who would fly farther? Why? Read this text trailer about the story of Cinderella.Life is not easy when you live with an evil stepmother. Cinderella could tell you all about it. She's stuck doing choreswhile her stepsisters have fun. To make things worse, the prince is throwing a ball and everyone will be there.Cinderella is dying to go, but her evil stepmom says no. But then a stranger arrives and offers to lend Cindy a handand a magic wand.What is the tone of this trailer?O formalo informalO humorousO educational Please help, I dont understand this problem compare and contrast the maya, aztec, and olmec civilization. discuss how each group interacted with the natural environment in north america Why was bread so important in France? Joel is editing a picture for an advertising assignment. Which technique should he use if he wants to make part of the picture stand out? . What do you think the purpose of standardized testing is? please try and solve it how was the sundial innovated? Which of the following is NOT naturally found as a diatomicgas?O ChlorineO NeonO OxygenO NitrogenO Hydrogen the flow of nutrients through an ecosystem is cyclic How can assumptions draw false conclusions and limit perception A rock fell of the edge of a cliff and encountered a displacement of 50m. The final vertical velocity of the rock was 10m/s. Find the time the rock was in the air, the horizontal velocity when the rock left the cliff and the vertical displacement the rock had.