A 310 turn solenoid with a length of 18.0 cm and a radius of 1.60 cm carries a current of 1.90 A. A second coil of four turns is wrapped tightly around this solenoid, so it can be considered to have the same radius as the solenoid. The current in the 310 turn solenoid increases steadily to 5.00 A in 0.900 s.(a) Use Ampere's law to calculate the initial magnetic field in the middle of the 310 turn solenoid.T(b) Calculate the magnetic field of the 310 turn solenoid after 0.900 s.T(c) Calculate the area of the 4-turn coil.m2(d) Calculate the change in the magnetic flux through the 4-turn coil during the same period.Wb(e) Calculate the average induced emf in the 4-turn coil.VIs it equal to the instantaneous induced emf? Explain.(f) Why could contributions to the magnetic field by the current in the 4-turn coil be neglected in this calculation?

Answers

Answer 1

Answer:

Given that;

Number of turns in the solenoid N = 310

Length of the solenoid L = 18 cm = 0.18 m

Radius of the solenoid r = 1.60 cm = 0.016 m

Current in the first Circuit I₁ = 1.90A

Number of turns in second coil N₂ = 4

Final Current solenoid I₂ = 5.0 A

Time interval to change the time Δt = 0.9 s

a)

According to Ampere's law, magnetic field inside a conductor is calculated as;

B₁ = ц₀N₁I₁ / L

(ц₀ = 4π × 10⁻⁷  constant)

therefore we substitute

{(4π × 10⁻⁷) ×  310 × 1.9A} / 0.18m

= 0.0041 T

b)

Magnetic field inside the solenoid after t = 0.9

B₁ = ц₀N₁I₂ / L

= {(4π × 10⁻⁷) ×  310 × 5.0A} / 0.18m

= 0.0108 T

c)

Area of coil is

A = πr²

A = π ×  ( 0.016 )²

A = 0.000804 m²

d)

Change in magnetic influx is

dФ = (B₂ - B₁) A

= ( 0.0108 T - 0.0041 T) × 0.000804 m²

= 0.0000053868 ≈ 5.39 × 10⁻⁶

e)

Average induced emf is

e = -N₂ ( dФ / dt )

e = ( -4 ) ( 5.39 × 10⁻⁶ / 0.9)

e = - 2.39 × 10⁻⁵V ( NOTE, this is not equal to the instantaneous induced emf )

f)

The induced emf is very low, so the contributions to the magnetic field in the coil is Negative.


Related Questions

help please, last ride guys

Answers

1. Equilibrium temperature = 7.3 C. Change in temperature of water = 2.4 C. Mass of water = 2.5 kg.
Hence energy absorbed = 4186*2.4/2.5 = 25116 J
Energy absorbed = Energy lost by brass.
Change in temperature of brass = 90.1 C. Mass = 0.52 kg. Energy lost = 25116 J
Hence specific heat = 25116/0.52/90.1 = 536 J/kgC

2. Change in temperature = 14 C
Mass of water = 195 g
Heat required to raise 1g water by 1C = 4.18 J
Hence heat required = 4.18*195*14 = 11411.4 J

For the fifth question we need the diagram or experiment above the question for context

Answer:

Solution ( for fourth attachment ) : 38°C

Tip : Remember the units °C when submitting answer

Explanation:

As you mentioned, we only need the solution for the fourth attachment.

The idea here is that the heat lost by the metal will be equal to the heat gained by the water. We know that the specific heat gained or lost will always be represented by the following formula,

q = m [tex]*[/tex] c

Therefore if we substitute the know values and equate the two equations knowing that " q " is common among them --- ( 1 )

0.33 [tex]*[/tex] 448

Remember that the change in temperature of iron (ΔT) would be represented by final temperature - initial temperature, or final temperature - 693. Similarly the change in temperature of water will be final temperature - 39. Now we can pose the final temperature as a, and solve for a through substitution --- ( 2 )

0.33 [tex]*[/tex] 448

From here on take a look at the attachment. It represents how to receive get a through simple algebra. Here a, the final temperature, is about 38°C. In exact terms it will be [tex]38.03617\dots[/tex]°C.

what is the best defintion of efficency

Answers

Answer: Efficiency signifies a peak level of performance that uses the least amount of inputs to achieve the highest amount of output.

Explanation: It minimizes the waste of resources such as physical materials, energy, and time while accomplishing the desired output.

Answer:

The efficiency of a simple machine is defined as the ratio of useful work done by the machine ( output work) to the total work out into the machine ( input work).

Explanation:

Efficiency

If a machine overcomes a load ' L ' and the distance travelled by the load is 'Ld' , the work done by the load is L× LD. It is also called output work or useful work.

Therefore, [tex] \boxed{Output \: work \: = L \: \times \: Ld}[/tex]

Likewise, The effort applied to overcome the load is 'E' and the distance covered by effort is 'Ed' , the work done by effort is E × Ed. It is also called input work.

Therefore, [tex] \boxed{Input \: work = E \times Ed}[/tex]

The efficiency of a simple machine is defined as the ratio of output work to the input work .

Therefore, [tex] \boxed{Efficiency ( η)= \frac{outpt \: work}{input \: work} \times 100\%}[/tex]

Efficiency is expressed in percentage. It is a ratio of two works. A machine is never 100% efficient. It is because no machine is friction free and due to friction, some of the input energy is wastes in the form of heat energy.

[tex] \mathrm{Hope \: I \: helped!}[/tex]

[tex] \mathrm{Best \: regards!}[/tex]

If the reading of a linear scale is 4 mm and no of division of the circular scale is 50, then what will be the diameter of the wire in mm? (Least count = 0.01) * 2 points 2.25 3.5 4.5 9.0

Answers

Answer:

Diameter of Wire = 4.5 mm

Explanation:

First, we need to find the fractional part of the reading. The fractional part o the reading can be given by the following formula:

Fractional Part = Circular Scale Reading x Least Count

where,

Circular Scale Reading = 50

Least Count = 0.01 mm

Therefore,

Fractional Part = (50)(0.01 mm)

Fractional Part = 0.5 mm

Now, the diameter of the wire can be given by using the following formula:

Diameter of Wire = Linear Scale Reading + Fractional Part

Diameter of Wire = 4 mm + 0.5 mm

Diameter of Wire = 4.5 mm

which substance is an acid ?

Answers

Answer:

According to Arrhenius definition, an acid is a substance that releases hydrogen ion or hydronium ion.

there are also other definition like bronsted and lewis.

I HOPE IT WILL HELP

Question is on the picture. Answers: A. 0.1 J/g*C B. 0.2 J/g*C C. 0.4 J/g*C D. 4 J/g*C

Answers

Answer:

B. 0.2 J/g/°C

Explanation:

The solid phase is the first segment (from 0°C to 50°C).

q = mCΔT

200 J = (20 g) C (50°C)

C = 0.2 J/g/°C

Please give best dialogue in photo that is attached And you are marked as Brainliest

Answers

Answer:

The correct answer is

Explanation:

Character 1: Why are these comic books so hard to read? Can u read them?

Character 2: No it's easy to read Tigger. It's because you are an animal an I am a human being. U don't know how to read.

Hope this helps....

Have a nice day!!!!

Answer:

Dialogue 1:

Hey buddy! Can you tell me what is written in this book? Its really hard to read:(

Dialogue 2:

Yeah! Its a story about a friendly tiger! And it is hard for you to read cause you don't know how to read.

Tip:

Try to make it more engaging  :)

In no more than five simple statements, use the kinetic theory to explain why an iron bar expands when it is heated.

Answers

Answer:

Iron expands because heating increases the space between the molecules

Explanation:

According to the kinetic molecular theory, all matter is composed of atoms and molecules which are in constant motion.

When a substance is heated, molecules of the substance begin to vibrate faster. This faster vibration leads to increased space between the molecules (expansion) . The kind of motion motion and degree of spacing of the molecules determine the state of matter in which the substance is found.

Hence, when an iron bar is heated, it expands due to increased motion of its molecules leading to spaces between them.

Se suelta un cuerpo desde la azotea de un edificio de 180m de alto. Luego de 3s se lanza verticalmente hacia abajo otro cuerpo. Si ambos llegan simultáneamente al piso, calcular la rapidez con la que fue lanzado el segundo cuerpo (g=10m/s2).

Answers

Answer:CcCcccccc

Explanation:

Rfsgqh

You and your family are going on a trip in Europe. Calculate the speed in the following scenario. State how you calculated your answer and include correct units. A car travels 240 kilometers in 3 hours; What is the speed of the car during that time?

Answers

Answer:

22.2 m/s or 80 km/h

Explanation:

Given that

Distance travelled by the car, d = 240 km

Time taken by the car, t = 3 hours.

Speed of the car, v = ? m/s

for easy calculations, we will be converting the units to meters and seconds respectively.

240 km to meters would be

240 * 1000 m = 240000 m

3 hrs to seconds would be

3 * 60 mins * 60 seconds = 10800 s

now, we have our distance and time to be

d = 240000 m

t = 10800 s

speed is defined as the ratio of distance with respect to time taken, effectively,

Speed = distance/time

speed, v= 240000 / 10800

v = 22.2 m/s

therefore, the speed of the car during the time is 22.2 m/s, or if the speed is needed in km/h, we can convert it

22.2 * 3600/1000 =

80 km/h

What type of psychologist would help a place of business or a company find the best ways to help their employees and customers? Group of answer choices forensic psychologist health psychologist industrial organizational psychologist developmental psychologist

Answers

Answer:

The correct option is;

Industrial organizational psychologist

Explanation:

Industrial organizational psychology is a branch of the study of psychology that looks into the application of psychological principles and theories in industrial and organizational settings.

An industrial organizational psychologist provide support to organizations such analyzing orientation and behavior, assessment of the organization, training company personnel on how to be or become a good leader, design and development of organizational products , analysis of customer choices, the satisfaction of the customers, and the strategy the organization follows in marketing of their products such as to increase awareness and understanding of human behavior in a workplace setting.

¿Por qué una persona situada debajo de las ramas de un árbol ve caer una hoja con diferente tipo de movimiento que una persona que corre cerca del árbol?

Answers

Answer:

Therefore the laws of physics are the same for the two observers, whoever is standing under the tree observes a vertical movement of free fall.

The person who is running observes a movement parabolic

Explanation:

To answer this question we must establish that as two people have inertial reference systems from which to make their observations, the inertial systems are systems with constant velocity.

Therefore the laws of physics are the same for the two observers, whoever is standing under the tree observes a vertical movement of free fall.

The person who is running observes a movement parabolic composed of the vertical movement and horizontal movement ladies go running, therefore it is a parabolic movement

Traslate

Para responder eta pregunta debemos establecer que as dos personas tiene sistema de referencia inerciales de des donde realizar sus observación, los sistema inerciales son sistema con velocidad constante.

Por lo tanto las leyes de la fisica son la misma para los dos observadores, el que esta parado bajo el árbol observa un movimiento vertical de caída libre.

La persona que va corriendo observa un movimiento compuesto por el movimiento vertical y damas movimiento horizontal ir corriendo, por lo cual es un movimiento parabólico

A parallel-plate capacitor has square plates that are 7.40 cm on each side and 3.20 mm apart. The space between the plates is completely filled with two square slabs of dielectric, each 7.40 cm on a side and 1.60 mm thick. One slab is Pyrex glass and the other slab is polystyrene. If the potential difference between the plates is 84.0 V, find how much electrical energy (in nJ) can be stored in this capacitor.

Answers

Answer:

The energy that can be stored in the capacitor is 239 nJ

Explanation:

We first calculate the capacitance of each material. Let C₁ be the capacitance of pyrex glass and C₂ be the capacitance of polystyrene.

C₁ = κ₁ε₀A/d where κ₁ = dielectric constant of pyrex glass = 5, A = area of plates = L² where L = length of square plate = 7.40 cm = 7.40 × 10⁻² m and d = thickness of pyrex slab = 1.60 mm = 1.60 × 10⁻³ m and ε₀ = permittivity of free space = 8.854 × 10⁻¹² F/m

C₁ = κ₁ε₀A/d = κ₁ε₀L²/d = 5 × 8.854 × 10⁻¹² F/m × (7.40 × 10⁻² m)²/1.60 × 10⁻³ m = 2424.2252/1.60 × 10⁻¹¹ F = 1515.14 × 10⁻¹¹ F = 15.2 × 10⁻⁹ F = 15.2 nF

C₂ = κ₂ε₀A/d where κ₂ = dielectric constant of polystyrene = 3, A = area of plates = L² where L = length of square plate = 7.40 cm = 7.40 × 10⁻² m and d = thickness of polystyrene slab = 1.60 mm = 1.60 × 10⁻³ m and ε₀ = permittivity of free space = 8.854 × 10⁻¹² F/m

C₁ = κ₁ε₀A/d = κ₁ε₀L²/d = 3 × 8.854 × 10⁻¹² F/m × (7.40 × 10⁻² m)²/1.60 × 10⁻³ m = 1454.5351/1.60 × 10⁻¹¹ F = 909.08 × 10⁻¹¹ F = 9.09 × 10⁻⁹ F = 9.09 nF

Since the capacitors are in series, we find their effective capacitance C from

1/C = 1/C₁ + 1/C₂

C = C₁C₂/(C₁ + C₂)

= 15.2 × 10⁻⁹ F × 9.09 × 10⁻⁹ F/(15.2 × 10⁻⁹ F + 9.09 × 10⁻⁹ F)

= 138.168 × 10⁻¹⁸/24.29 × 10⁻⁹ F

= 5.69 × 10⁻⁹ F

The amount of electrical energy stored in a capacitor is given by W = 1/2CV² where C = capacitance and v = voltage applied. Now C = 5.69 × 10⁻⁹ F and V = 84.0 V for this capacitor

So W = 1/2 × 5.69 × 10⁻⁹ F × 84.0 V

= 238.98 × 10⁻⁹ J

≅ 239 × 10⁻⁹ J

= 239 nJ

So the energy that can be stored in the capacitor is 239 nJ

How is heat transferred during thermal conduction? Through direct contact of particles Through electromagnetic waves Through motion of hot and cold liquid Through the rising of a warm gas

Answers

Answer:

Through direct contact of particles

Explanation:

Heat is transferred in the following ways listed below

1. Conduction(Through direct contact of particles )

2. Convection(Through motion of hot and cold liquid )

3. Radiation(Through electromagnetic waves Through the rising of a warm gas )

1. Conduction: This has to do with the transfer of heat from one medium to another having direct contact with each other, the medium can either be solid or liquids

2. Convection: Has to do with the transfer of heat energy via molecules of the liquids in motion with different or varying temperature gradients

3. Radiation: Mostly occurs in gases, it is the transfer of energy through waves

What is the equation for burning a fossil fuel

Answers

Answer:

Fuel + O2 → CO2 + H2O

Explanation:

As a way of determining the inductance of a coil used in a research project, a student first connects the coil to a 5.62 V battery and measures a current of 0.698 A. The student then connects the coil to a 35.1 V(rms), 93.1 Hz generator and measures an rms current of 0.36 A. What is the inductance

Answers

Answer:

Its inductance L = 166 mH

Explanation:

Since a current, I = 0.698 A is obtained when a voltage , V = 5.62 V is applied, the resistance of the coil is gotten from V = IR

R = V/I = 5.62/0.698 = 8.052 Ω

Since we have a current of I' = 0.36 A (rms) when a voltage of V' = 35.1 V (rms) is applied, the impedance Z of the coil is gotten from

V₀' = I₀'Z where V₀ = maximum voltage = √2V' and I₀ = maximum current = √2I'

Z = V'/I' = √2 × 35.1 V/√2 × 0.36 V = 97.5 Ω

WE now find the reactance X of the coil from

Z² = X² + R²

X = √(Z² - R²)

= √(97.5² - 8.05²)

= √(9506.25 - 64.8025)

= √9441.4475

= 97.17 Ω

Now, the reactance X = 2πfL where f = frequency of generator = 93.1 Hz and L = inductance of coil.

L = X/2πf

= 97.17/2π(93.1 Hz)

= 97.17 Ω/584.965 rad/s

= 0.166 H

= 166 mH

Its inductance L = 166 mH

what are some factors that affect the frequency of sound​

Answers

Answer:

1. direction of propagation of sound

2.medium through which sound trsnsmitted

Identify the wood turning equipment and what it does.
А
is used to turn wood. It rotates and carves wood to produce a
form.​

Answers

Answer:

lathe

perfectly symmetrical

Answer: A lathe is used to turn wood . It rotates and carves wood to produce a perfectly symmetrical form .

First one is lathe .

Second one is perfectly symmetrical .

Explanation: I just took the test on Plato and had 100%

(02.10 LC)

Which American sport stems from a combination of the British sports rugby and soccer?

Baseball

Basketball

Tennis

Football

Question 2 Multiple Choice Worth 5 points)

Answers

The answer is base ball because you run and slide in soccer and you run and slide in rugby. You also hit a Ball in soccer and you hit a ball in rugby.

Answer:

football

Explanation:

I took the 2.10 quiz and got it wrong so it must be football

if a direction is somewhere between North and East it is measured in _____?

Answers

Answer:

degrees

Explanation:

If a direction is somewhere between north and east, it is measured in degrees.

This measurement will be possible thanks to the existence of geographical coordinates that are some 'imaginary lines' that help us find our location on the earth's surface. These lines are called latitude and longitude, both of which are measured in degrees.

It is like a sea battle game where you have to combine the rows and columns in order to identify where the targets are located. Geographic coordinates work the same way, you must combine the rows and columns of the planisphere to identify the locations of the planet. So the lines would be the latitudes and the columns the longitudes.

A bicycle has a momentum of 36 kg • m/s and a velocity of 4 m/s. What is the mass of the bicycle? 9 kg 32 kg 40 kg 144 kg

Answers

Answer:

9 kg

Explanation:

Momentum is mass times velocity.

p = mv

36 kgm/s = m (4 m/s)

m = 9 kg

The mass of the bicycle is 9 kg.

Momentum of the bicycle

The momentum of the bicycle is the product of mass and velocity of the bicycle.

P = mv

where;

P is momentumm is mass v is velocity

m = P/v

m = 36/4

m = 9 kg

Thus, the mass of the bicycle is 9 kg.

Learn more about momentum here: https://brainly.com/question/7538238

Sarai strolls to the right with an average speed of 1.2m/s for 1500 seconds. What was Sarai's displacement in meters?

Answers

Answer:

1800m

Explanation:

rearrange speed= distance/time

to distance=time*speed

1.2*1500=1800

Sarai's displacement in meters will be 1800 when it strolls to the right with an average speed of 1.2m/s for 1500 seconds.

What is speed?

Speed is defined as the ratio of the distance moved by the object at a particular time. The unit of speed is measured in the meter per second, miles per hour, etc.

Average velocity is defined as the sum of all the distances traveled by an object to the time taken by the object to cover the total distance.

Given that Sarai strolls to the right with an average speed of 1.2m/s for 1500 seconds.

To calculate the distance traveled by the object convert the velocity formula into the form of the distance formula then solve for the value of distance.

Velocity = Distance / time

1.2 = Distance / 1500

Distance = 1.2 x 1500= 1800 meters

Therefore, Sarai's displacement in meters will be 1800 when it strolls to the right with an average speed of 1.2m/s for 1500 seconds.

To know more about Average speed  follow

https://brainly.com/question/6504879

#SPJ2

An AC generator consists of 6 turns of wire. Each turn has an area of 0.040 m2. The loop rotates in a uniform field (B = 0.20 T) at a constant frequency of 50 Hz. What is the maximum induced emf?

Answers

Answer:

The maximum induced emf is 15.08 V

Explanation:

Given;

number of turns of the generator, N = 6 turns

area of the loop, A = 0.04 m

magnetic field of the loop, B = 0.2 T

frequency of loop, f = 50 Hz

The  maximum induced emf is given by;

E = NBAω

Where;

ω is the angular speed = 2πf

E = NBA(2πf)

E = 6 x 0.2 x 0.04 x (2 x 3.142 x 50)

E = 15.08 V

Therefore, the maximum induced emf is 15.08 V

1. If a car travels 400m in 20 seconds how fast is it going?
2. If you move 50 meters in 10 seconds, what is your speed?
3. You arrive in my class 45 seconds after leaving math which is 90 meters away. How fast did you travel?
4. A plane travels 395,000 meters in 9000 seconds. What was its speed?
5. It takes Serina 0.25 hours to drive to school. Her route is 16 km long. What is Serina's average speed on her
drive to school?

Answers

Answer:

1) 20 m/s

2) 5 m/s

3) 2 m/s

4) 395,000m/9000s

5) 16 km/0.25h

Explanation:

i dunno

Dennis throws a volleyball up in the air. It reaches its maximum height 1.1\, \text s1.1s1, point, 1, start text, s, end text later. We can ignore air resistance. What was the volleyball's velocity at the moment it was tossed into the air?

Answers

Answer:

If max height = 1.1 meters, then initial velocity is 3.28 m/s

If max height is 1.1 feet, then the initial velocity is 5.93  ft/s

Explanation:

Recall the formulas for vertical motion under the acceleration of gravity;

for the vertical velocity of the object we have

[tex]v=v_0-g \,t[/tex]

for the object's vertical displacement we have

[tex]y-y_0=v_0\,t - \frac{g}{2} \,t^2[/tex]

If the maximum height reached by the object is given in meters, we use the value for g in [tex]m/s^2[/tex] which is: [tex]9.8\,\,m/s^2[/tex]

If the maximum height of the object is given in feet, we use the value for g in  [tex]ft/s^2[/tex]  which is : [tex]32\,\,ft/s^2[/tex]

Now, when the ball reaches its maximum height, the ball's velocity is zero, so that allows us to solve for the time (t) the process of reaching the max height takes:

[tex]v=v_0-g \,t\\0=v_0-g \,t\\g\,\,t=v_0\\t=\frac{v_0}{g}[/tex]

and now we use this to express the maximum height in the second equation we typed:

[tex]y-y_0=v_0\,t - \frac{g}{2} \,t^2\\max\,height=v_0\,(\frac{v_0}{g}) - \frac{g}{2} \,(\frac{v_0}{g})^2\\max\,height= \frac{v_0^2}{2\,g}[/tex]

Then if the max height is 1.1 meters, we use the following formula to solve for [tex]v_0[/tex]:

[tex]1.1= \frac{v_0^2}{2\,9.8}\\(9.8)\,(1.1)=v_0^2\\v_0=10.78\\v_0=\sqrt{10.78} \\v_0=3.28\,\,m/s[/tex]

If the max height is 1.1 feet, we use the following formula to solve for [tex]v_0[/tex]:

[tex]1.1= \frac{v_0^2}{2\,32}\\(32)\,(1.1)=v_0^2\\v_0=35.2\\v_0=\sqrt{35.2} \\v_0=5.93\,\,ft/s[/tex]

Answer:

11

Explanation:

for khan academy, this is the answer

FASTTT I BEG U An astronaut weighs 900 N on earth. On the moon he weighs 150 N. Calculate the moons’ gravitational strength. (Take g = 10 N/kg).

Answers

mass of an object is always constant

weight is a force, [tex]W=mg[/tex] where $g$ is acceleration due to gravity.

Weight on earth is , $900=m\cdot 10 \implies m=90$ kg

weight on moon is $150=90\times g_{\text{moon}} \implies g=\frac{5}{3}$

How would the period of this pendulum differ from an equivalent one on earth?

Answers

Answer:

the pendulum differs from 300 inches

In----- theory, the actual wishes that are threatening to the dreamers conscious awareness are disguised

Answers

Answer:

Unconscious wish fulfillment

Explanation:

Unconscious wish fulfillment

(In the unconscious wish fulfillment theory, the actual wishes of the dreamer that are threatening to the dreamer's conscious awareness are disguised.)

Using your own words, tell me
what is the difference between an Pure Substance and a Mixture? Make sure to give me an example of each.

Answers

Answer:

Hey there!

Mixtures are physically combined and can be separated. For example, sand and water is a mixture.

Pure substances are samples of matter with definite, and unchangeable chemical properties. For example, diamond is a pure substance.

Let me know if this helps :)

a pure substance is a substance that has not been mixed with anything, a mixture has been mixed with another substance. an example is

dirt +water=mud iron is an example of a substance

You are the driver of the car in the photos above. You Are traveling at 30 mph when suddenly the car goes from its position in the first photo to the position in the second photo. What is happening

Answers

Answer:

the car uses teleportation, to zip to one side of the photo, to the other

Explanation:

A body with an initial velocity of 10m/s has an acceleration of 8m/s^2. Determine graphically the velocity after 5 seconds, & the distance travelled in that time. Verify your answer using the equations of motion.

Answers

Answer:

From the graph, at t = 5 seconds, the velocity = 50 m/s as shown also in the above table

Please find attached the graph

Explanation:

The initial velocity of the body =  m/s

The acceleration of the body = 8 m/s²

The velocity after 5 seconds can be determined graphically and by calculation as follows;

Graphically, we have the data points which can be found by the straight line relation  v = u + a×t,

Where ,

a = The slope = 8 m/s²

u = 10 m/s = The y-intercept

Which gives;

v = 10 + 8 × t

The following data can be calculated for various time t;

Time, t     Velocity , v

0,             10

1,              18

2,             26

3,             34

4,             42

5,             50

6,             58

From the graph, at t = 5 seconds, the velocity = 50 m/s as shown also in the above table

Please find attached the graph

By calculation, we have;

v = u + a×t

Where;

v = The final velocity

u = The initial velocity = 10 m/s

a = The acceleration = 8 m/s²

t = The time = 5 seconds

v = 10 + 5× 8 = 50 m/s.

Other Questions
A clothing store is having a sale on shirts and jeans. Four shirts and two pairs of jeans cost $78. Three shirts and five pairs of jeans cost $111. The system of equations4s + 2j = 783s + 5j = 111 models this situation, where s is the cost of a shirt and j is the cost of a pair of jeans. How much does one shirt and one pair of jeans cost? According to Quantifiers, if we say I dont have any sugar left How much suggar do I have The chief business officer of a construction equipment company arranges a loan of $9,300, at 12 1 /8 % interest for 37.5 months. Find the amount of interest. (Round to the nearest cent) a. $2,761.21 b. $3,583.83 c. $3,523.83 d. $3,722.47 Shanti's Workshop Shanti recently went to a communication workshop to help improve her workplace performance. She learned that in effective communication, she should resist forming an opinion until the speaker has finished, then attempt to empathize with the listener, and finally effectively respond to the speaker. She learned techniques regarding maintain eye contact and sending back channel signals to show interest. When Shanti attempts to empathize with the speaker, this is known as: What is the smallest odd multiple of 3 and 7 between 57 and 250? from the21. Space-produced photographs showed that air pollution..industrial Belts in the middle latitudes.A. is being exportedB. exportedC. has been exportedD. will exportHelp me! 8. Write 3x3 21x2 + 36x in factored form.3x(x - 4)(x - 3)3x(x - 5)(x - 2)3x(x + 6)(x + 2)O3x(x + 4)(x + 3) match each polynomial with its degreedegree 1degree 2degree 3degree 4a.8x^2+7+1/2x^3-3 (1/2 is a fraction)b.3x^2-2x+4c.(x^2)^2+(x+4)^2d.5x+5 If the sin of angle x is 4 over 5 and the triangle was dilated to be two times as big as the original, what would be the value of the sin of x for the dilated triangle? HintUse the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces. (4 points) Plzzz,help me!!!I will give you make Brainliest if you answers good and exactly!!! Mandy and Pat are discussing a movie that showed someone being injured by radio waves. Mandy says that's not likely becauseradio waves are low frequency and low energy, and Pat says that it is likely because otherwise they would not put it in a movie.What is the best way to help them decide if the information is true?They can write a letter to the director.Movies are reliable sources, so they can assume Pat is correct.They can use reliable web sites or books to get more information.They can watch another movie in the series to see what happens next. what is the capital of Combodia? answer please lol so uh yeah you went to the restaurant and you paid $28 for food. you decide to tip the waiter 15% and pay tax 10%. what was the final bill after tip and tax? Because of the legal protection for intellectual property, such as patents, a firm has a better chance of recouping the costs of research if it pursues:_________.a. Basic technological researchb. Technologically innnovative researchc. Appllied technological researchd. Technologically positive research Antitrust regulations would most likely require one of the following in order to determine whether or not a merger may enhance competition. Which one is it?A. Highly complex analytical toolsB. Analysis using numerical toolsC. Obvious objective judgmentsD. Readily qualified judgments PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!Generally, the ________ the sample, the more accurately it describes the population.A. closerB. betterC. smallerD. larger Consider the plot created from the residuals of a line of best fit for a set of data.Does the residual plot show that the line of best fit is appropriate for the data?Yes, the points have no pattern.No, the points are evenly distributed about the x-axis.No, the points are in a linear pattern.Yes, the points are in a curved pattern. From the table below, choose two of the four words listed, each of which is shown in bold as it is used in a line from a poem by Thomas Gray or William Wordsworth. First, find a synonym for the two words you chose that has the same meaning as it does in the sentence shown. Then write a new sentence that uses your synonym with the same meaning as that in the poem. You may use a thesaurus to complete the activity . Word Pronunciation In Context Synonym Sample Sentence with Synonym knell NEL The curfew tolls the knell of the parting day clarion KLAR-ee-uhn The c*ck's shrill clarion, or the echoing horn furrow FUR-oh Their furrow oft the stubborn glebe has broke vagrant VEY-grant Of vagrant dwellers in the houseless woods rapture RAP-cher And all its acting joys are no more, / And all its dizzy raptures. donald is a taxi driver. for each ride in the taxi, the cost, c, is given by c = 500+130d, where c is in cents and d is the distance of the ride, in miles. what is the meaning of the value 500 in this equation? a) donald charges 500 cents per mile b) donald drives 500 customers per day c) donald charges at least 500 cents per taxi ride d) donald charges at most 500 cents per taxi ride