a) How far did the vehicle travel in total? ​
I need help on how to count each distance please

A) How Far Did The Vehicle Travel In Total? I Need Help On How To Count Each Distance Please

Answers

Answer 1

The total distance travelled during the vehicle's journey as found from the speed-time graph is 6.125 m

V = d / t

V = ( u + v ) / 2

V = Average Speed

d = Distance

t = Time

u = Initial velocity

v = Final velocity

During the first 0.5 s, u = 0 and v = 1 m / s.

d = ( 0 + 1 ) * 0.5 / 2

d = 0.25 m

During the next 0.5 s, u and v are equal meaning constant velocity ( V = 1 m / s ).

d = 1 * 0.5

d = 0.5 m

During the next 1 s, u = 1 m / s and v = 1.5 m / s.

d = ( 1 + 1.5 ) * 1 / 2

d = 1.25 m

During the next 2.5 s, u and v are equal meaning constant velocity ( V = 1.5 m / s ).

d = 1.5 * 2.5

d = 3.75 m

During the next 0.5 s, u = 1.5 m / s and v = 0.

d = ( 1.5 + 0 ) * 0.5 / 2

d = 0.375 m

Total distance travelled is the sum of all the individual distances calculated.

Total distance travelled = 0.25 + 0.5 + 1.25 + 3.75 + 0.375

Total distance travelled = 6.125 m

Therefore, the total distance travelled during the vehicle's journey as found from the speed-time graph is 6.125 m

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Related Questions

In the mass spectrum of pentane, the presence of a peak with m/z = 15 is most likely to the detection of:________

Answers

In the mass spectrum of pentane, the presence of a peak with m/z = 15 is most likely to the detection of a methyl radical cation.

The m/z ratios of the ions contained in a sample displayed against their intensities form a mass spectrum. The height of the peaks in a mass spectrum denotes the relative abundance of the various components in the sample, and each peak in a mass spectrum displays a component of distinct m/z in the sample.

Only when a molecule has been transformed into a gas-phase ion can a mass spectrometer calculate the mass of the molecule. In order to do this, it gives molecules an electrical charge and transforms the flow of electrically charged ions that results into a proportional electrical current that a data system can subsequently read.

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Consider the surface with parametric equations .
a) find the equation of the tangent plane at . .
b) find the surface area under the restriction

Answers

There are two ways to express the tangent plane equation. Given that it is the sum of the two distinct tangent vectors, its parametric equation is r=r0+sru+trv.

What does the parametric surface in calculus mean?

A surface in Euclidean space is considered to be parametric if it can be described by a parametric equation with two variables. Parametric representation is another reasonably general technique for describing a surface in addition to implicit representation.

On the other hand, tangent planes to a surface are planes that are "parallel" to the surface at the point where they barely touch it. Remember that this provides us with a point on the The tangent plane equation can be written in two different ways. The following point emerges from the surface and tangent plane meeting at (x0,y0):

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A projectile moves in two dimensions - both horizontally and vertically. Since these two components of motion are independent of each other, two distinctly separate sets of equations are needed –

Define Each Variable

Answers

The variables of horizontal and vertical component of projectile are

V as the final velocity, dx as the horizontal distance, V₀ as initial vertical velocity, dy as vertical height, a as acceleration and t as time of motion.

What is projectile motion?

A projectile motion involves a projectile, which is any object thrown into space upon which the only acting force is gravity.

The primary force acting on a projectile is gravity.

A projectile motion involves vertical and horizontal components,

Definition of variables in horizontal component of a projectile motion;

V = d/t

where;

V is the final velocitydx is the horizontal distance or range of the projectile

Definition of variables vertical component of a projectile motion;

V₀ is initial vertical velocitydy is vertical height a is accelerationt is time of motion

Thus, the variables of horizontal and vertical component of projectile are V as the final velocity, dx as the horizontal distance, V₀ as initial vertical velocity, dy as vertical height, a as acceleration and t as time of motion.

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If two insulated wires were to melt together where the copper conductors touched each other, the type of failure would be called a(n) ________.

Answers

A short to voltage failure would occur if the copper conductors of two insulated wires came into contact and melted together.

Describe voltage:

The difference in electric potential between two points, also known as voltage, electric potential difference, electric pressure, or electric tension, is measured as the amount of work required to move a test charge per unit of energy between the two sites.

What is voltage formula?

The formula reads voltage = current x resistance, or V = A x, or volts = amps x ohms.

What different voltages are there?

Electrical services are categorized:

Low Voltage: 1000 volts or less.Medium Voltage is defined as much over 1000 volts and under 100 kV.High Voltage is defined as voltages of at least 100 kV but not more than 230 kV.Ultra-High Voltage is defined as 1000 kV or more.

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A cylindrical tube 12.5 cm high and 1.5 cm in diameter is used to collect blood samples. how many cubic decimeters (dm3) of blood can it hold (v of a cylinder = r2h)?

Answers

0.176 cubic decimeters (dm3) of blood it can hold (v of a cylinder = r2h).

What is a cylindrical tube?

Round and hollow Cylinders i.e., when the general change in cross-sectional region is significantly less than the overall change in tension along the cylinder. At the end of the day, the cylinder region variety should be slower than the spatial variety of the actual wave. Round and hollow cylinders are generally utilized as transport compartments to safeguard interior items. The holders are expected to keep from imploding in any event, when they would tumble to the ground and be affected. In certain cases, the terms might be utilized conversely, but there is one vital contrast among cylinder and line, especially in how the material is requested and resilience. Tubing is utilized in underlying applications, so the external breadth turns into the significant aspect.

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A car is just starting up from a stop sign and has zero velocity at the instant that it starts. must the acceleration of the car also be zero at this instant?

Answers

Yes. hence the change in velocity is acceleration. There won't be a change in velocity if there is no velocity.

With an example, what is acceleration?It is possible for an object's velocity to alter by increasing, decreasing, or changing its direction of motion. A few instances of acceleration include an apple falling to the ground, the moon orbiting the earth, and a car coming to a stop at a set of traffic lights.How is acceleration measured?A metre per second per second (m/s2) is used to measure acceleration.The snewton is the unit of force responsible for producing an acceleration of one meter per second per second when applied to a mass of one kilogram.

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how to determine the center of gravity of a lamina​

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Take a lamina with three holes near the periphery of the lamina, now suspend the lamina through them, one by one. Draw a line of equilibrium for each suspension point. The point of intersection of these three lines would be the centre of gravity.

Which component does the nurse analyze to identify patient problems and select appropriate nursing diagnoses? plan of care

Answers

Nursing diagnoses are created by analyzing and grouping patient assessment data in order to pinpoint patient issues and choose the best nursing diagnoses.

What do you understand by diagnoses?

The practice or process of diagnosing a disease based on its symptoms and characteristics. a: the conclusion drawn from a doctor's diagnostic. b: the investigation or analysis of the nature, cause, or occurrence of a condition, circumstance, problem, or engine problems diagnostic.

Identifying a disease or problem and separating it from other potential disorders is the process of diagnosis. The word's root is the Greek word gnosis, which means knowledge. imaging using magnetic resonance.

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Three identical capacitors are connected in parallel to a potential source (battery). if a charge of q flows into this combination, how much charge does each capacitor carry?

Answers

Each capacitor carries a charge of 1/3q as they are identical.

These capacitors are identical and the combination is connected in parallel to each other.So each should receive an equal portion of the total charge when received from the power source.If the combination is connected in series to each other, then each one would receive the same amount of charge, not a portion of the total charge (in such a case the total charge would be 3q).To know this more precisely, consider the simple formula used for a capacitor: [tex]Q = CV[/tex].In a parallel arrangement, the potential is the same for each one and since the capacitance is equal, the charge one would carry is the same as well.Then the total charge [tex]q[/tex] is the sum of each capacitor's charge which yields [tex]q = 3Q\,\,\to\,\,Q = \frac{q}{3}[/tex] .

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Use this formula m=W/g, What is the mass of an object if its weight on earth is 1150N?

Answers

Using this formula m=W/g, the mass of an object if its weight on earth is 1150N is 117.347 kg

Let mass of an object be m, weight be W and acceleration due to gravity is g.

From the formula m=W/g

mass m =?

weight w = 1150N

g=9.8 m/[tex]s^{2}[/tex]

So,  the mass of an object if its weight on earth is 1150N will be calculated as:

m=1150/9.8

m=117.347 kg

Hence using the formula m=W/g, the mass of an object if its weight on earth is 1150N will be 117.347 kg.

This is in acceptance with Newton's laws of motion as well and thus calculated according to given formula.

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A car is decelerating at the rate of 3 km/s 2. if its initial speed is 66 km/s, how long will it take the car to come to a complete stop?

Answers

The car with an initial speed of 66 km/s will come to a complete stop at 22 s

The formula for Uniformly varied rectilinear motion (UVRM) and procedure we will use to solve this exercise is:

t = (vf - vi) /a

Where:

vf = final velocityvi = initial velocityt = timea = acceleration

Information about the problem:

vi= 66 km/svf = 0 m/sa= - 3 km/s2t = ?

Applying the time formula, we have:

t = (vf - vi) /a

t = (0 m/s - 66 km/s) / - 3 km/s2

t = (- 66 km/s) / - 3 km/s2

t =  22 s

What is acceleration?

It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2

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A mass suspended from a spring bobs up and down one complete cycle every 2 s. its period is?

Answers

The period is 2 seconds.

A period is a time taken to make one simple harmonic motion. It can be described as time divided by how many waves do. We can write the period formula as

T = t / n

where T is period, t is time and n is the amount of simple harmonic motions.

From the question above, we know that the mass travel up and down, it means that the cycle is one simple harmonic motion.

n = 1

t = 2s

Hence

T = t / n

T = 2 / 1

T = 2 second

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If a construction worker drops a rench from a height of 1000 feet, how fast will the wrench be falling after 5 seconds?

Answers

The distance actually fallen in t seconds is defined by d = Vot + 16t^2 or 16t^2 with an initial velocity of Vo = 0.

And the object will fall at 160ft/sec speed.

Velocity, both initial and final

When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector quantity that measures the

The position of an object dropped from a height of 1000 ft. is given by s = 1000 – Vot – 16[tex]t^{2}[/tex], or 1000 – 16[tex]t^{2}[/tex] for Vo = 0, s being the distance from the ground.

The equation s(t) = Vot – 16[tex]t^{2}[/tex] is the height reached when propelled upward at a velocity of Vo.

An object dropped from a height if 1000 ft. will have a velocity of

Vf = Vo + gt = Vo + 32t = 0 + 32(5) = 160 ft/sec.

The distance fallen in this 5 second is s = Vot + [tex]\frac{gt^2}{2}[/tex] = Vot + 16[tex]t^{2}[/tex] = 0 + 16([tex]5^{2}[/tex]) = 400 feet, making the position, or distance, from the ground 600 feet.

The formula d = Vot + 16[tex]t^{2}[/tex] or 16 [tex]t^{2}[/tex]with an initial velocity of Vo = 0 determines the distance that actually fell in t seconds.

The position of an object dropped from a height of 1000 feet can be calculated using the formula s = 1000 – Vot – 16t2, or 1000 – 16t2 for Vo = 0.

The height attained when moving upward at a velocity of Vo can be calculated using the equation s(t) = Vot – 16t2.

The velocity of an item falling from a height of 1000 feet is Vf = Vo + gt = Vo + 32t = 0 + 32(5) = 160 ft/sec.

The location, or distance, from the ground is 600 feet due to the distance that was lost in these five seconds: s = Vot + gt2/2 = Vot + 16t2 = 0 + 16(52) = 400 feet.

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Fill in the blanks
i) Most liquid that conduct electricity are solution of—————and—————.

Answers

Acids, bases and salts

1) If students spend more time using TikTok, then they will read fewer books. Independent Variable:
Dependent Variable:​

Answers

Answer: number of books

Explanation:

An eleven quart container of ice cream is to be made in the form of a cube. calculate the length of a side of the cube. 1 gallon = 3.786 liters. answer in units of cm.

Answers

The length of a side of the cube is 21.83 cm.

We need to know about cube volume to solve this problem. Cube volume can be calculated by multiplying the length of the cube. It can be written as

V = L³

where V is cube volume and L is cube length.

From the question above, we know that

V = 11 quart = 2.75 gallon

1 gallon = 3.786 liters

Convert volume to liters

V = 2.75 gallon

V = 2.75 x 3.786 liters

V = 10.41 liters

V = 10.41 dm³

Find the length

V = L³

10.41 = L³

L = ³√10.41

L = 2.18 dm

Convert length to cm

L = 2.183 dm

L = 21.83 cm

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Two identical cylinders at the same pressure contain the same gas. if cylinder a contains three times as much gas as cylinder b, which cylinder has the higher temperature?

Answers

By ideal gas theory, cylinder b has the higher temperature.

We need to know about the ideal gas theory to solve this problem. The ideal gas can be represented by

P . V = n . R . T

where P is the pressure, V is volume, n is the number of molecules, R is the ideal gas constant and T is temperature.

From the question above, we know that

Pa = Pb = P

na = 3nb

Find the temperature of the cylinder a

P . V = n . R . Ta

Ta = P . V /( na . R )

Substitute na

Ta = P . V /( (3nb) . R )

Ta = (1/3) x (P . V /( (nb . R ))

Find the temperature of the cylinder b

P . V = n . R . Tb

Tb = P . V /( nb . R )

The cylinder a temperature is 3 times smaller than the temperature in cylinder b.

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A basketball weighs 20. ounces and has a volume of 456 in3. what is the average density of the basketball in g/cm3?

Answers

The basketball that 20 ounces and has a volume of 456 in3 has a density of 0.076 g/cm3

The density formula and the procedure we will use is:

ρ = m/v

Where:

v= volumeρ= densitym= mass

Information about the problem:

m = 20 oz

v = 456 in3

ρ= ?

By converting the mass from ounces to grams, we get:

20 oz * (28.3495 g / 1 oz) = 566.99 g

By converting the volume from in3 to cm3, we get:

456 in3 * (16.3871 cm3 / 1 in3) = 7472.52 cm3

Applying the density formula, we get:

ρ = m/v

ρ = 566.99 g/ 7472.52 cm3

ρ = 0.076 g/cm3

What is density?

It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.

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How many kilograms are there in 56.2 mg? express your answer in scientific notation, and include the proper abbreviation for the unit. do not use e or e to express your answer.

Answers

There are 56.2 x 10^-6kg or in simple terms 0.0000562 kg in 56.2mg.

How to deduce this?

This can be explained as 1 kg = 10^6 mg

Or if you want to even simplify it much further, it can be deduced by

1 kg = 1000g and 1 g = 1000mg

This means 1 kg = (1000 x 1000) mg

Which means 1 kg = 1000000 mg or 10^6 mg.

So, to answer this question we have to reverse the process we have done here.

This means 1 kg = 10^6 mg

Which implies 1mg = 1/ 10^6 kg

Or it can be written as 1 mg = 10^-6 kg

So, 56.2 mg = 56.2 x 10^-6 kg and that is your answer.

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When osmium goes from a solid to a liquid and finally a gas, the element has undergone _____.

Answers

When osmium goes from a solid to a liquid and finally a gas, the element has undergone phase changes

The osmium is a transition chemical element which is also known as "Os" in the periodic table. Its atomic number is 76. It is hard, brittle, bluish metal at room temperature, but it can be liquid when it heats up until its melting point (3000°C) and if it keeps heating it can finally be a gas when it reaches its boiling point (5500°C).

What are the phase change materials?

The phase change materials, also known as PCMs, are the elements able to absorb, store and release large amounts of heat over a defined temperature range when the element changes phase or state.

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Object a is moving at speed v in a circle of radius r. object b is moving at speed 2v in a circle of radius r/2. what is the ratio of the period of object a to the period of object b?

Answers

The correct answer for the ratio of the period of object a to the period of object b 4.

we know time for one revolution. around which is the period for one revolution it has to travel distance equal to perimeter.

So, speed of object in circular motion

v = perimeter /t

time period = 2πr/v

for object A ,Ta = 2 π R/ v

for abject B, Tb = (2π R/2 )/2v

now Ta / Tb = ((2πR)/v)/((2π(R/2))/(2V)) = 1/(1/4) = 4

Circular motion is defined in physics as the movement of an object around the circumference of a circle or the rotation of an object along a circular path. It can be uniform, with a constant angular rate of rotation and speed, or non-uniform, with a variable rate of rotation.When the magnitude of an object's velocity in uniform circular motion is v, the velocity is equal to the circumference C of the circle divided by the period. As a result, V = fracCT. The circumference of a circle is equal to pi multiplied by R. So, C = 2Π R.

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True or false kinetic energy is the energy associated with its position or composistion

Answers

Kinetic energy is not the energy associated with its position or composition.

Energy is the crucial for sustenance of every being. The potential energy is present in every object and cannot be given to another object. Explosives contain the chemical potential energy that is released as kinetic energy and heat after ignition.

What is the kinetic energy?

Kinetic energy is not energy associated with the position or composition. It is the energy related with the motion.

The total energy of the universe is a constant as energy can be changed from one form to another but cannot be created nor destroyed. Systems changes in order to lower their potential energy. Energy can be changed from one type to the another. Energy is capacity to do work.

Kinetic energy, form of the energy that an object or a particle has by reason of its motion. If the work, which transfers energy, is done on an object by applying net force, the object speeds up and thereby gains kinetic energy. The kinetic energy is a property of a moving object or particle and depends not only on its motion but also on its mass.

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An electron travels 3.31 m in 5.83 x 10 to the -8 s. How fast is it traveling?

Answers

Speed of electron with which it is traveling is

0.56 x 10^8 m/s

It is given that

distance travelled by electron is 3.31 m

time taken to travel = 5.83 x 10^-8 s

We have to find Speed of electron with which it is traveling

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

Speed = distance/time = 3.31/5.83 x 10^-8

Speed = 0.56 x 10^8 m/s

Hence, Speed of electron with which it is traveling is 0.56 x 10^8 m/s

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An object that is dropped from a height H falls with a constant acceleration of g. The final
speed, v, just before it reaches the ground can be expressed as v = sqrt(2gh). By how much does the height need to change double the final velocity?

Answers

The height need to change by 4 to double the final velocity.

Final velocity of the object

The final velocity of an object during a free fall is related to maximum height of fall as given the equation below.

v = √2gh

v² = 2gh

v²/h = 2g

v₁²/h₁ = v₂²/h₂

when v₂ = 2v₁, change in height is calculated as;

h₂ = h₁v₂²/v₁²

h₂ = (h₁ (2v₁)²) / (v₁)²

h₂ = 4h₁v₁² / v₁²

h₂ = 4h₁

Thus, the height need to change by 4 to double the final velocity.

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what do scientists do with a theory of a new evidence does not support a theory??

Answers

The scientists will search and do more research about it

Systems a and b contain the same substance. if system a is a saturated vapor, and has the same pressure as system b, but system b has a higher enthalpy value than a, what phase is system b in?

Answers

Since System B has a higher enthalpis at a given pressure than a saturated vapor, it is in superheated vapor.

By "superheated vapor," what do you mean?

Solvent vapor is heated over its usual boiling point at atmospheric pressure to create superheated vapor. Its capacity to heat objects over the boiling point of the solvent it uses is what makes it special. The primary purpose of superheated vapor is to burn off any remaining liquid solvent that has been trapped in cracks of parts. A vapor that is saturated and on the verge of condensing. The equilibrium between the liquid and vapor phases is known as a saturated liquid-vapor mixture. Vapor that is excessively heated but not yet ready to condense (i.e., not a saturated vapor). You can produce superheated steam by using, for instance, steam that has been extracted from a boiler. It is then sent through a different heater, referred to as a superheater, to add more heat to the steam through radiation or direct contact. Because it ensures that the liquid refrigerant is boiled off before leaving the evaporator and moving to the compressor, superheating is essential in HVAC systems.

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Jennifer runs 5 miles east, then stops to take a break. after her break, she continues running 4 more miles east. what is her distance and displacement?

Answers

Jennifer runs 5 miles east, then stops to take a break. after her break, she continues running 4 more miles east.

In this the total distance she covers is 9 miles and the total displacement is also the same as the distance that is 9 miles.

What is the difference between distance and displacement?

Displacement is the shortest distance between initial and final position, or we can say it is the straight-line distance between initial and final position.

Whereas distance is considered as the total path length covered from initial position till the final position. The Displacement of a body is always less than or equal to the distance.

Displacement can be zero in case the initial and final positions coincide, but distance can never be zero.

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The temperature at which an alligator's egg is incubated will determine the sex of the offspring. the dependent and the independent variables in this experiment are ________.

Answers

The infant alligator's sex is the dependent variable in this experiment, and temperature is the independent variable.

By dependent and independent variables, what do you mean?

The independent and dependent variables are the two main factors in an experiment. In a scientific experiment, an independent variable is a variable that is altered or controlled to see how it affects the dependent variable. In a scientific experiment, the variable under test and being measured is known as the dependent variable. Example: Your test score is influenced by how much you sleep (an independent variable) (dependent variable). One of the most crucial aspects of scientific study is establishing cause and effect relationships. Knowing which variable is the cause, or independent variable, and which is the effect, or dependent variable, is crucial.

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According to wien's law, if the surface temperature is increased by a factor of 2, its peak wavelength will:________

Answers

Wien's law states that the peak wavelength will: if the surface temperature increases by a factor of 2, the peak wavelength will: decrease by a factor of 2.

What is Wien's law in simple terms?

According to this, the wavelength at which the radiation curve reaches its maximum decreases as temperature increases. Higher energy photons are associated with the shift to shorter wavelengths. In other words, the relationship between max (peak wavelength) and temperature is inverse.

According to Wien's Law, which bears the name of German physicist Wilhelm Wien, objects with varying temperatures emit spectra with varied peak wavelengths. Shorter wavelength radiation is emitted by hotter things, giving them their blue appearance.

Wien's constant is a physical constant that describes the correlation between the black body's thermodynamic temperature and wavelength. It is a result of the black body's temperature and wavelength, which decreases as temperature increases until the wavelength is at its shortest.

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What magnitude acceleration does the enterprise need to just barely avoid a collision with the klingon ship? assume the acceleration is constant.

Answers

The enterprise must slow down to [tex]-2.5 km/s^{2}[/tex] to avoid a collision.

Describe average velocity.

Average velocity is defined as the difference between the change in position or displacement (x) and the time intervals (t) during which the displacement occurs. The average velocity may be positive or negative depending on the displacement's direction. The unit of measure for average velocity in the SI is meters per second (m/s or m[tex]s^{-1}[/tex]).

What are the three equations of kinematics?

Only when acceleration is constant and motion is on a straight line can the equations of kinematics be used.

v = u + ats = ut + ½at²v² = u² + 2as

Let us assume that,

A = Starship enterprise

B = Klingon ship

Considering that the starship enterprise slows down steadily, the following would be the average velocity:

[tex]v_{a}__{i}[/tex] =( [tex]v_{a}__{i}[/tex] + [tex]v_{a}__{f}[/tex] )/2

where [tex]v_{a}__{f}[/tex] = 0 since it must come to a stop

[tex]v_{a}[/tex] = (50 + 0)/2

[tex]v_{a}[/tex] = 25 km/s

As a result, A must travel 100 km in addition to the distance B travels during that period before coming to a stop:

[tex]d_{A}[/tex] = [tex]d_{B}[/tex] + 100

25t = 20t + 100

5t = 100

So,

[tex]d_{A}[/tex] = 25t

[tex]d_{A}[/tex] = 25(20)

[tex]d_{A}[/tex] = 500 km

and

[tex]d_{A}[/tex] = [tex]v_{a}__{i}[/tex] × t + [tex]\frac{1}{2} a t^2[/tex]

500 = 50(20) + [tex]\frac{1}{2} a(20)^2[/tex]

a = [tex]-2.5 km/s^2[/tex]

Therefore, the enterprise must slow down to [tex]-2.5 km/s^{2}[/tex] to avoid a collision.

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The complete question is: "The starship enterprise returns from warp drive to ordinary space with a forward speed of 50 km/s. to the crew’s great surprise, a Klingon ship is 100 km directly ahead, traveling in the same direction at a mere 20 km/s. without evasive action, the enterprise will overtake and collide with the Klingons in just slightly over 3.0 s. the enterprise’s computers react instantly to brake the ship. what magnitude acceleration does the enterprise need to just barely avoid a collision with the Klingon ship? assume the acceleration is constant."

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