A SONAR used in a ship sends ultrasound waves and receives the echo after 2.0 s.Find the depth of the shoal of fish if the speed of sound in water is 1250 m/s

Answers

Answer 1

Given :

A SONAR used in a ship sends ultrasound waves and receives the echo after 2.0 s.

To Find :

The depth of the shoal of fish if the speed of sound in water is 1250 m/s.

Solution :

Let, the depth of the shoal fish is d.

Now, it is given that it takes 2.0 s to receive the echo.

Also, distance covered by echo is 2d.

Now, 2d = s × t

2d =  1250 m/s × 2 s

d = 1250 m

Therefore, the depth of the shoal of fish is 1250 m.


Related Questions

Which three statements describe mechanical waves?
A. The waves can travel through empty space.
B. The waves transfer energy by causing particles of matter to
move.
C. The waves need matter to transfer energy.
D. The waves can transfer energy through solids, liquids, and gases.

Answers

The three statements that are correct about the mechanical waves are options B, C, and D.

Mechanical waves:

Mechanical waves are produced due to disturbances in any matter. Which clearly indicates that the mechanical waves cannot travel through empty space.

The mechanical waves require matter to transfer energy through oscillation in the matter. So it is true that the waves transfer energy by causing particles of matter to move.

Also, the mechanical waves need matter to transfer energy, the waves can transfer energy through solids, liquids, and gases.

An example of a mechanical wave is the sound produced by the guitar strings.

Learn more about mechanical waves:

https://brainly.com/question/3101711?referrer=searchResults

h. If the mass of an object is 390 g and its volume is 50 cm?, then its density is ....... g/cm' or ....... kg/m”.
- The relative density of the object in part "h" is​
Edit: nvm I'm an idiot I remembered this but thanks anyway

Answers

Answer: See explanation

Explanation:

The density would like be calculated by dividing the mass by volume. This will be:

Density = Mass / Volume

Density = 390 / 50

Density = 7.8g/cm

A constant force of 20. newtons applied to a box causes it to move at a constant speed of 4.0 meters per second. How much work is done in the boxin 6.0 seconds?
1) 240 joules
2) 120 joules
3) 480 joules
4) 80. joules

Answers

The answer is 3) 480 joules

The work done is 480 Joules.

Option 3 is correct.

The work done  is computed as multiplication of force and displacement.

Given that,  Force = 20 N

Displacement = 4 meter per second

For 6 second,

Displacement [tex]=4*6=24m[/tex]

                  [tex]Workdone=Force*displacement\\\\Workdone=20*24=480J[/tex]

Learn more:

https://brainly.com/question/21854305

What are the three longest wavelengths for standing waves on a270-cm-long string that is fixed at both ends

Answers

Answer:

The answer is below

Explanation:

a) What are the three longest wavelengths for standing waves on a 270-cm-long string that is fixed at both ends? b. If the frequency of the second-largest wavelength is 50.0 Hz, what is the frequency of the third-longest wave length?

Solution:

a) The wavelengths (λ) for standing waves is given by the formula:

[tex]\lambda_m=\frac{2*length\ of\ string}{m}\\\\Where\ m=1,2,3,.\ .\ .\\\\Given\ that\ length\ of\ string = 270\ cm=2.7\ m,\ m=1,2,3(three\ longest\ wavelengths)\\\\Hence:\\\\\lambda_1=\frac{2(2.7)}{1}=5.4\ m\\\\\lambda_2=\frac{2(2.7)}{2}=2.7\ m \\\\\lambda_3=\frac{2(2.7)}{3}=1.8\ m[/tex]

b) The frequency (f) and wavelength (λ) is given by:

fλ = constant

Hence:

[tex]f_2\lambda_2=f_3\lambda_3\\\\f_2=50\ Hz\\\\2.7*50=f_3(1.8)\\\\f_3=\frac{2.7*50}{1.8} \\\\f_3=75\ Hz[/tex]

The three longest wavelengths for the standing waves on a 270-cm long string that is fixed at both ends are:

1. 5.4 meters.

2. 2.7 meters.

3. 1.8 meters.

Given the following data:

Length of string = 270 cm to m = [tex]\frac{270}{100} =2.7\;m[/tex]

To determine the three (3) longest wavelengths for these standing waves:

Mathematically, the wavelength for standing waves is given by the formula:

[tex]\lambda_n = \frac{2L}{n}[/tex]

Where:

[tex]\lambda_n[/tex] is the wavelength for standing waves.L is the length of string.

Note: n = 1, 2, and 3.

When n = 1:

[tex]\lambda_1 = \frac{2\times 2.7}{1} \\\\\lambda_1 = 5.4 \;meters[/tex]

When n = 2:

[tex]\lambda_2 = \frac{2\times 2.7}{2} \\\\\lambda_2 = 2.7 \;meters[/tex]

When n = 3:

[tex]\lambda_3 = \frac{2\times 2.7}{3} \\\\\lambda_3 =\frac{5.4}{3} \\\\\lambda_3 = 1.8 \;meters[/tex]

Read more: https://brainly.com/question/14708169

Two point charges, Q1 and Q2, are separated by a distance R. If the magnitudes of both charges are tripled and their separation is also tripled, what happens to the magnitude of the electrostatic force that each charge exerts on the other

Answers

Answer:

The force remains the same.

Explanation:

Let the magnitude of the forces in each case be F1 and F2 respectively.

The charges are Q1 and Q2.

The distance of separation between them is R.

Hence, for F1;

F1 = KQ1Q2/R^2

For F2:

F2 = K * 3Q1 * 3Q2/(3R)^2

F2 = 9KQ1Q2/9R^2

F2 =KQ1Q2/R^2

Hence F1=F2

The force is the same in both cases!

explain why work is not considered a form of energy.​

Answers

Energy is the ability to do work while work is the change in energy. Kinetic energy is moving energy, or the energy possessed by an object in motion. Potential energy is the energy Possessed by an object during rest.
Hope this helps.

A 0.015 kg marble moving to the right at 0.225 m/s makes an elastic head-on collision with a 0.03 kg shooter marble moving to the left at 0.18 m/s. After the collision, the smaller marble moves to the left at 0.315 m/s. What is the velocity of the 0.03 kg marble after the collision

Answers

Answer:

0.135m/s

Explanation:

Using the law of conservation of momentum

m1u1+m2u2 = m1v1 +m2v2

m1 and m2 are the masses

u1 and u2 are the initial velocities

v1 and v2 are thee final velocities

Substitute the given parameters and get v2

0.015(0.225)+0.03(0.18) = 0.015(0.315)+0.03v2

0.003375+0.0054 = 0.004725 + 0.03v2

0.008775 - 0.004725 = 0.03v2

0.00405 = 0.03v2

v2 = 0.00405/0.03

v2 = 0.135m/s

Hence the final velocity of the 0.03kg marble after collision is 0.135m/s

A helicopter flies with an air speed of 175 km/h, heading south. The wind is blowing at 85 km/h to the east relative to the ground. Calculate the speed and direction of the helicopter.

Answers

Answer:

154° at 195 km/h

Explanation:

The helicopter is moving south at 175 km/h, relative to the wind.

But the wind is moving east at 85 km/h, relative to the ground.

This means that the helicopter is moving south east relative to the ground.

Every hour, the helicopter will move 175 km to the south and 85 km to the east, relative to the ground.

This means that we can determine the speed and direction of the helicopter using a right triangle and simple trigonometry.

Refer to the triangle b1.

The distance traveled by the helicopter in 1 hour is denoted by d.

d is the hypotenuse of the right triangle.

Using the Pythagorean Theorem, we can calculate d to be 195 km (rounded to 3 s. f.)

Hence the helicopter is traveling at 195 km/h relative to the ground.

To calculate the direction we use,

tan (x) = opposite/adjacent = 85/175

So the angle x is,

[tex]x = arctan (\frac{85}{175} )[/tex] = 25.9°

Relative to the North, the helicopter is moving at 180° - 25.9° = 154° (rounded to 3 s. f.)

Which element of the integumentary system is responsible for acne in adolescents?

subcutaneous adipose tissue

sweat glands

squamous cells

sebaceous glands

Answers

Sebaceous glands


Our sebaceous glands produce oil to keep our skin moisturized, but when they produce too much oil, acne can form.

Acne is a long-lasting condition that affects the sebaceous glands and hair follicles in the middle layer of the skin.Acne is characterized by clogged sebaceous glands, which produce pimples and cysts.

Which part of the integumentary system is responsible for acne?

A condition of the oil glands and hair follicles is acne (sebaceous glands).To keep the skin moist, the sebaceous glands release oils (sebum).Acne and cysts can develop as a result of clogged glands. Sebum makes the skin more resistant to moisture and lubricates it to defend against abrasion.Additionally, the sebaceous gland has a natural light protection action and transfers antioxidants into and onto the skin.It has pro- and anti-inflammatory properties as well as an intrinsic antimicrobial activity. Your skin, hair, and nails make up your integumentary system.It serves as the top layer of defense against bacteria and damage to your body. The face, upper chest, and back are among the skin regions where sebaceous follicle density is highest and are frequently affected by acne vulgaris. Sebum, an oily fluid that moisturizes your skin and hair, and dead skin cells clog hair follicles, resulting in acne.Bacteria can cause infection and inflammation, which worsen acne. Other sebaceous gland functions, such as sebaceous proinflammatory lipids, various locally produced cytokines, periglandular peptides and neuropeptides, such as corticotrophin-releasing hormone, which is produced by sebocytes, and substance P, which is expressed in sebocytes, are also linked to the development of acne.

        To learn more about acne in adolescents refer

        https://brainly.com/question/28430690

        #SPJ2

What do you think causes the changes in sunrise and sunset times over the course of the year?

Answers

Answer:

The combination of Earth's elliptical orbit and the tilt of its axis results in the Sun taking different paths across the sky at slightly different speeds each day. This gives us different sunrise and sunset times each day.

Explanation:

How much extra water does a 147-lb concrete canoe displace compared to an ultra lightweight 36-lb Kevlar canoe of the same size carrying the same load

Answers

Answer:

1.7791 ft^3

Explanation:

The computation of the extra water is as follows;

Here we use the following formula

Volume of the water = ÷ Weight of concrete canoe ÷ value of the weight of the specific water

= 147 lb ÷ 62.4 lb /ft^3

= 2.356 ft^3

Now the volume of water occupied in ultra lightweight

= 36 lb ÷ 62.4 lb /ft^3

= 0.5769 ft^3

Now the water volume displaced is

= 2.356 - 0.5769

= 1.7791 ft^3

15 points! Answer FAST!
When heat is transferred, it flows_____.
A. From the warmer object to the cooler object only if the cooler object is an insulator
B. From the cooler object to the warmer object regardless of the materials
C. From the warmer object to the cooler object regardless of the materials
D. From the warmer object to the cooler object only if the warmer object is a conductor.

Answers

Answer:heat brings it up then down

Explanation:

A low rider truck accelerates from 0 m/s to 30.0 m/s with a displacement of 50m. What is the vehicle's acceleration?

a. 2.00m/s
b. 5.00m/s
c. 9.0m/s
d. 10.0m/s

Answers

Answer:

a = 9 [m/s²]

Explanation:

To solve this problem we must use the following equation of kinematics.

[tex]v_{f}^{2}=v_{o}^{2} +2*a*x[/tex]

where:

Vf = final velocity = 30 [m/s]

Vo = initial velocity = 0

a = acceleration [m/s²]

x = displacement = 50 [m]

Now replacing:

[tex]30^{2}=0 +2*a*50\\100*a=900\\a=9[m/s^{2} ][/tex]

what can you conclude about the force of gravity?

Answers

Answer:

All objects, irrespective of their mass, experience the same acceleration g when falling freely under the influence of gravity at the same point on the Earth. If gravity is the only force acting on an object, the sum of kinetic energy and gravitational energy is constant. ...

Answer:

Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.The Earth's gravitational force accelerates objects when they fall. It constantly pulls, and the objects constantly speed up.Gravity is the force of attraction between two objects with mass and is dependent on the distance between these objects. Gravity is the force that repels two objects that have opposite charges. It is dependent upon the charges of the objects.

Explanation:

A 10 kg weight is suspended in the air by a strong cable. How much work is done, per unit time, in suspending the weight

Answers

Answer:

There is no work done.

Explanation:

Given the following data;

Mass = 10 kg

To find the work done?

In Physics, work done can be defined as the amount of energy transfered when an object or body is moved over a distance due to the action of an external force.

Mathematically, work done is given by the formula;

Work done = force * distance

[tex] W = F * d[/tex]

Where,

W is the work doneF represents the force acting on a body. d represents the distance covered by the body.

However, the weight suspended in the air by a strong cable does not move or experience any form of displacement. Therefore, there is no work done.

What is the distance of separation between objects of masses 5.6 x 10 5 kg and 8.8 x 10 6 kg if the force of gravity between them is 440 N

Answers

Answer:

2.87m

Explanation:

Using the law of gravitation to solve this question

F = GMm/r²

G is the gravitational constant

M and m are the masses

r is the distance between the masses

Substitute the given values

G = 6.67×10^-11 m³/kgs²

M =8.8 x 10^6 kg

m = 5.6 x 10^5 kg

F =440N

400 = 6.67×10^-11×8.8 x 10^6 ×5.6 x 10^5/r²

400r² = 328.698×10

400r² = 3286.98

r² = 3286.98/400

r² = 8.21745

r = √8.21745

r = 2.87m

Hence the distance of separation is 2.87m

The distance of separation will be "0.86 m".

Given:

Mass,

[tex]m_1 = 5.6\times 10^5 \ kg[/tex][tex]m_2 = 8.8\times 10^6 \ kg[/tex]

Force,

[tex]F = 440 \ N[/tex]

As we know,

→   [tex]F = \frac{Gm_1 m_2}{r^2}[/tex]

By putting the values, we get

→ [tex]440=\frac{6.67\times 10^{-11}\times 5.6\times 10^5\times 8.8\times 10^6}{r^2}[/tex]

→   [tex]r^2 = \frac{6.67\times 5.6\times 8.8}{440}[/tex]

→   [tex]r^2 = 0.74704[/tex]

→     [tex]r = \sqrt{0.74704}[/tex]

→        [tex]= 0.86 \ m[/tex]

Thus above approach is correct.        

Learn more:

https://brainly.com/question/16255110

what tells you whether you are feeling hot, cold or in pain?

A. Nerves/Neurons
B. Spinal Cord
C. Brain
D. Skin ​

Answers

Answer:

i think its skin..think so this answre help you

An investigator is using a laser to illuminate a distant target. He decides that he needs a smaller beam, so he puts a pinhole directly in front of the laser. He finds that this actually spreads the beam out, making matters worse.

Explain what is happening.

a. The pinhole has a size comparable with the laser wavelength, so the pinhole refracts the passing laser beam.
b. The pinhole has a size smaller than the laser wavelength, so the pinhole refracts the passing laser beam.
c. The pinhole has a size smaller than the laser wavelength, so the pinhole diffracts the passing laser beam.
d. The pinhole has a size comparable with the laser wavelength, so the pinhole diffracts the passing laser beam.

Answers

Answer:

correct answer is d

The pinhole has a size comparable with the laser wavelength, so the pinhole diffracts the passing laser beam.

Explanation:

The researcher does not have a refraction problem since the medium on both sides of the pinhole is the same with the same refractive index, the problem he is having is with the diffraction of the laser beam through the pinhole, let's analyze the diffraction process that is described by the expression

          a sin θ = m λ

where a is the pinlole size,  λ the wavelength of the laser and m an integer.

The laser extends from the maximum of diffraction to the first zero (m = 1) of diffraction

         sin θ =  λ/a

when analyzing this expression we have some interesting cases

* when  λ « a. the sine approaches zero therefore we are in the case of optical geometry, in this case the laser passes through the hole without being diffracted

* when  λ ≈ a.  the sine function has values ​​between 0 and 1, for which a diffraction of the laser beam occurs, which increases the diameter of the same

* when  λ> a.  The laser does not pass through the gap since the sine cannot have values ​​greater than 1

After this analysis, we review the answers to the exercise to find that the correct answer is d

Two objects are dropped from a bridge, an interval of 1.00 s apart. What is their separation 1.00 s after the second object is released

Answers

Answer:

171.5m

Explanation:

The velocity of sound in water = 343m/s

Time taken = 1.00secs

using the formula to calculate the distance

2x = vt

x is the distance

v is the speed of sound

t is the time

x = vt/2

x = 343(1)/2

x = 171.5m

hence their separation 1.00 s after the second object is released is 171.5m

If the maximum tension in the simulation is 10.0 N, what is the linear mass density (m/L) of the string

Answers

Complete Question

The speed of a transverse wave on a string of length L and mass m under T is given by the formula

     [tex]v=\sqrt{\frac{T}{(m/l)}}[/tex]

If the maximum tension in the simulation is 10.0 N, what is the linear mass density (m/L) of the string

Answer:

[tex](m/l)=\frac{10}{V^2}[/tex]

Explanation:

From the question we are told that

Speed of a transverse wave given by

[tex]v=\sqrt{\frac{T}{(m/l)}}[/tex]

Maximum Tension is [tex]T=10.0N[/tex]

Generally making [tex](m/l)[/tex] subject from the equation mathematically we have

[tex]v=\sqrt{\frac{T}{(m/l)}}[/tex]

[tex]v^2=\frac{T}{(m/l)}[/tex]

[tex](m/l)=\frac{T}{V^2}[/tex]

[tex](m/l)=\frac{10}{V^2}[/tex]

Therefore the Linear mass in terms of Velocity is given by

[tex](m/l)=\frac{10}{V^2}[/tex]

please help me this is timed .
Find x if a = 3.0 m/s^2

Answers

Answer:

x = 50 N

Explanation:

Given that we have a net force, a mass, and acceleration, we can use the fundamental formula for force found in newton's second law which is F = m × a.

Given a mass of 150 kg, and an acceleration 3.0m/s². We can substitute these two values in our formula to calculate the magnitude of these forces or it's net force to identify the unknown force acting on our known force for this situation to work.

_______

F (Net force) = F2 (Second force which we are given) - F1 (First force) = m × a

m (mass which we are given) = 150 kg

a (acceleration which we are given) = 3.0m/s

________

So F = m × a → F2 - F1 = m × a →

500 - F1 = 150 × 3.0 → 500 - F1 = 450 →

-F1 = -50 → F1 = 50

1. Sodium-24 has a half-life of 15 hours. How much sodium-24 will remain in an
26.0 g sample after 60 hours?

Answers

Answer:

1.625g

Explanation:

The half - life of a radioactive substance is the time taken for half of it to decay to half of its original composition.

 For the given specie, the original composition is 26g  and the half life is 15hrs:

                At time 0hrs                    Mass  = 26g

For the first half life at time 15hrs         Mass  = 13g

                                             30hrs        Mass  = 6.5g

                                              45hrs        Mass = 3.25g

                                              60hrs        Mass  = 1.625g

Imagine you are a TV sports commentator for a major car race. What techniques could
you use to describe the action to your audience?

Answers

Answer:

friction , magnetism etc

The large window air conditioner in Anita Breeze's room draws 11 amps of current. The unit runs for 8.0 hours during the course of a day. Determine the quantity of charge that passes through Anita's window AC during these 8.0 hours.

Answers

Answer:

quantity of charge that passes through Anita's window AC, Q = 316800 C

Explanation:

given  data

current I = 11 amps

runs t = 8.0 hours

solution

we get here quantity of charge that passes through Anita's window AC

the quantity of charge passing Q = I × t     .................1

Q =  11 A × ( 8 hr )×  ( 3600 s/hr)

so

quantity of charge that passes through Anita's window AC, Q = 316800 C

The quantity of charge that passes through Anita's window AC, will be

Q = 316800 C

What is Current?

The current is defined as the quantity of charge flowing from the wire per unit time. Also defined as the rate of flow of the charge through any circuit. The formula will be given as:

[tex]\rm I=\dfrac{Q}{t}[/tex]

Now it is given that:

current I = 11 amps

runs t = 8.0 hours

The quantity of charge that passes through Anita's window AC during these 8.0 hours. Will be calculated as:

[tex]Q=I\times t[/tex]

[tex]Q=11\times 8\times 3600[/tex]

[tex]Q=316800 \ C[/tex]

Thus the quantity of charge that passes through Anita's window AC, Q = 316800 C

To know more about Current follow

https://brainly.com/question/24858512

Which is greater, the energy of one photon of orange light or the energy of one quantum ofradiation having a wavelength of 3.36 * 10^-9

Answers

The question is incomplete, here is the complete question:

Which is greater, the energy of one photon of orange light or the energy of one quantum of radiation having a wavelength of [tex]3.36\times 10^{-9}m[/tex]

Answer: The energy of one quantum of radiation having wavelength [tex]3.36\times 10^{-9}m[/tex] is greater than the energy of 1 photon of orange light.

Explanation:

To calculate the energy of one photon, we use the Planck's equation:

[tex]E=\frac{N_Ahc}{\lambda}[/tex]

where,

E = energy of radiation

[tex]N_A[/tex] = Avogadro's number = [tex]6.022\times 10^{23}mol^{-1}[/tex]

h = Planck's constant = [tex]6.626\times 10^{-34}Js[/tex]

c = speed of light = [tex]3\times 10^8 m/s[/tex]

[tex]\lambda}[/tex] = wavelength of radiation

For orange light:

For 1 photon, the term [tex]N_A[/tex] does not appear

[tex]\lambda}[/tex] = 620 nm = [tex]620\times 10^{-9}m[/tex]             (Conversion factor: [tex]1nm=10^{-9}m[/tex] )

Putting values in above equation, we get:

[tex]E=\frac{6.626\times 10^{-34}Js\times 3\times 10^8m/s}{620\times 10^{-9}m}\\\\E=3.206\times 10^{-19}J[/tex]

For one quantum of radiation:

[tex]\lambda}[/tex] = [tex]3.36\times 10^{-9}m[/tex]

Putting values in above equation, we get:

[tex]E=\frac{6.022\times 10^{23}mol^{-1}\times 6.626\times 10^{-34}Js\times 3\times 10^8m/s}{3.36\times 10^{-9}m}\\\\E=3.56\times 10^{7}J/mol[/tex]

Hence, the energy of one quantum of radiation having wavelength [tex]3.36\times 10^{-9}m[/tex] is greater than the energy of 1 photon of orange light.

The resistance of a wire depends on its length i and on its cross sectional area A the resistance is

Answers

Answer:

The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area

Explanation:


A medicine ball has a mass of 8.0 kg and is thrown with a speed of 3.0 m/s. What is its kinetic energy?
O A 12 J
O
B. 24 J
C. 36 J
0 D. 192 J

Answers

Answer:

C. 36J

Explanation:

KE = ½ m V²

= ½ × 8 × 3²

= 4 × 9

= 36 J

All of the following are ways in which sports psychologists help athletes except __________.
A.
staying motivated
B.
managing fear of failure
C.
improving performance
D.
enhancing memory


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

D-Enhancing memory

Explanation:

A car and a truck are both traveling at the constant speed of 35 mi/h; the car is 40 ft behind the truck. The driver of the car wants to pass the truck, i.e., he wishes to place his car at B, 40 ft in front of the truck, and then resume the speed of 35 mi/h; The maximum acceleration of the car is 5 ft/s2 and the maximum deceleration obtained by applying the brakes is 20 ft/s2. What is the shortest time in which the driver of the car can complete the passing operation? (assuming that the driver of the car does not pay any attention to the speed limit

Answers

Answer:

The shortest time in which the driver can complete the operation is approximately 6.32456 seconds

Explanation:

The given parameters are;

The speed of the truck and the car = 35 mi/h ≈ 51.33 ft./s

Let "t" represent the time it takes the car to pass the truck by 40 ft., we have;

The distance covered by the truck = 35 mi/h × t

The distance covered by the car = 35 mi/h × t + 80 ft = 51.33

Let the distance over which the car accelerates = d

We have;

d = 51.33×t₁ + 1/2×5×t₁²

51.33·t + 80 - d = (51.33 + 5·t₁)·(t - t₁) - 1/2·20·(t - t₁)²

51.33 = 51.33 + 5·t₁ - 20·(t - t₁)

∴ 5·t₁ = 20·(t - t₁)

5·t₁ = 20·t - 20·t₁

25·t₁ = 20·t

t₁ = 4·t/5

(51.33 + 5·t₁)·(t - t₁) - 1/2·20·(t - t₁)² + 51.33×t₁ + 1/2×5×t₁² = 51.33·t + 80

We get;

(51.33 + 5·(4·t/5))·(t - (4·t/5)) - 1/2·20·(t - (4·t/5))² + 51.33×(4·t/5) + 1/2×5×(4·t/5)² = 51.33·t + 80

(51.33 + 4·t)·(t/5) - 2·t²/5 + 51.33 × (4·t/5) + 8·t²/5 = 51.33·t + 80

51.33×t/5 + 51.33×4·t/5 + 4·t²/5 - 2·t²/5 + 8·t²/5 = 51.33·t + 80

51.33·t + 10·t²/5 = 51.33·t + 80

2·t² = 51.33·t + 80 - 51.33·t = 80

t² = 80/2 = 40

t = √40 = 2·√10 ≈ 6.32456

The shortest time in which the driver can complete the operation is "t" ≈ 6.32456 seconds



2- A car on a straight highway goes in the positive direction for 8 km and then backs up for 3.6 km. What are the distance and displacement covered by the train?

Answers

Answer:

11.6km

4.4km in the negative direction

Explanation:

Distance is the total length of path covered and traveled by a body.

So, for this car on a straight line;

  Total distance  = 8km + 3.6km  = 11.6km

Displacement is the distance traveled along a path and the direction it takes.

It is a vector quantity with magnitude and directional attributes.

For this journey;

 Displacement  = 8km  - 3.6km  = 4.4km in the negative direction.

Other Questions
Extra points and mark brainlist need help urgently g The process of a CPA obtaining a certificate and license in a state other than the state in which the CPA's certificate was originally obtained is referred to a Consider the procedures in a simple experiment used to demonstrate the behavior of gases1 Remove the end cap from the tip of a 35-ml plastic syringe.2. Remove plunger from the syringe and insert a balloon into the syringe,3. Place plunger back in syringe so the volume reading is approximately at the 15-mi mark4. Using a finger, seal the the syringe,5. Pull the plunger outSelect ALL of the statements that help to explain what occurs once the plunger is pulled out.A)The pressure inside the balloon increasesB)The pressure inside the syringe chamber decreasesC)The lower pressure on the balloon causes its volume to increaseD)When the syringe plunger is pulled out, the amount of gas increases,E)When the syringe plunger is pulled out, the volume of the chamberincreases y=2x+3y=4x3 Is (3,9) a solution of the system? ADC makes latex-free tubing for blood pressure instruments. This is Group of answer choices an output of ADC. an input into the production of health. both an input and an output. These concepts do not apply to this sort of product. For my sister in elementary school.My mom, who is a nurse works long hours. What is the pronoun Who is the author of the book " Black Light " What is the slope of a line perpendicular to the line whose equation is 2x+12y=-1922x+12y=192. Fully reduce your answer. Write the equation of the line that passes through the points (-9, -8) and (6,6).Put your answer in fully reduced point-slope form, unless it is a vertical or horizontalline. 9 dollars for 3 cans of tuna * What is 0.3x-2 equal One gamer who plays Breath of the Wild has 7 different swords. How many ways can 3 swords be chosen and arranged in a straight line if there are 7 swords to choose from? help with this pleaseeee ill give brainlist:) 20 points! Please sort this 'chart' out for me :)Also the choices go for every bank spot Bryan spent 14 minutes on the phone while routing 7 phone calls. How many phone cells does Bryan have to route to spend a total of 16 minutes on the phone? Solve using unit rates. Describe Cullen's mistake Which expression is equivalent to the given expression?(-6ab)2 help with 5 please! (zoom in) A sharecropper was a white southern Republican who collaborated with northern Republicans mostly for personal profit.True or false? Using the weighted-average method, the equivalent units for materials are: 33,000. 41,000. 36,000. 44,000. 32,000.