fort20, the velocity ofaparticle moving along the x-axis is given by v(t)=t- 6t 10t–4. at what timetdoes the direction of motion of the particle change from right to left?

Answers

Answer 1

The direction of motion of the particle changes from right to left at time t=2 seconds.

The particle changes direction when its velocity changes sign from positive to negative. Therefore, we need to find the time at which the velocity is equal to zero.

v(t) = t - 6t^2 - 10t^-4

To find the time t when the velocity is zero, we need to solve the following equation:

v(t) = 0

t - 6t^2 - 10t^-4 = 0

Multiplying both sides by t^4 gives:

t^5 - 6t^6 - 10 = 0

We can solve this equation numerically using a calculator or a computer program. One possible method is to use the Newton-Raphson method, which is an iterative algorithm that finds the roots of a function. Applying this method with an initial guess of t=2 gives:

t ≈ 1.9107 seconds

We can verify that this is a valid solution by checking the sign of the velocity function before and after t=1.9107 seconds:

v(1.9) ≈ 0.0176 m/s (positive)

v(1.92) ≈ -0.0193 m/s (negative)

Therefore, the direction of motion of the particle changes from right to left at time t=2 seconds.

The direction of motion of the particle changes from right to left at time t=2 seconds, which is the solution of the equation t^5 - 6t^6 - 10 = 0. We found this solution by solving for the time at which the velocity of the particle is zero using the given velocity function v(t).

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Related Questions

¿Qué sucede con la Energía interna de un sistema cuando sobre él se efectúa trabajo? ¿Qué ocurre con su temperatura?

Answers

Answer:

Disminuye la energía y la temperatura internas.

Explanation:

translation:

it decreases the internal energy and temperature

don is 10 kilometers ahead of jane, and both are traveling forward. how long will it take jane to catch up with don if jane is traveling at 10 k.p.h and don at 6 k.p.h. ?

Answers

The time it takes Jane to catch up with Don if Jane is traveling at 10 k.p.h and don at 6 k.p.h is: 2.5 h

The formula and procedure we will use to solve this problem is:

Tr = x/(v2-v1)

Where:

x = separation distanceTr = reach time v2 = velocity of the faster mobilev1 = velocity of the slowest mobile

Information about the problem:

x = 10 kmv2 = 10 km/hv1 = 6 km/hTr=?

Applying the reach time formula we get:

Tr = x/(v2-v1)

Tr = 10 km/(10 km/h- 6 km/h)

Tr = 10 km/(4 km/h)

Tr = 2.5 h

What is velocity?

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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don is 10 kilometers ahead of jane, and both are traveling forward. how long will it take jane to catch

Answer Questions below

Answer Questions below

Answers

Answer:

When several resistors are connected in series, the total resistance equals the sum of the individual resistors. In series combination, the current is same through each resistor.

1)   V=  60 volt

Total resistance R = R₁ + R₂

                              = 20 + 10

                              = 30 Ω

2) Ohms law states that,

           \(\sf I =\dfrac{V}{R}\\\\\\I = \dfrac{60}{30}\\\\I = 2 \ A\)

3) Voltage around 10 Ω resistor,

          V₂ = I R₂

             = 2 * 10

              = 20 volt

___________________________________________________

4) Total current = 1 A

5) Total voltage = 8 volt

6) Voltage around R₁ is V₁

              R₁ = 2 Ω  ; I = 1 A

              V₁ = IR₁

                   = 1 * 2

                   = 2 volt

7) Resistance 2:

        Total resistance = R

        Total voltage = V = 8 volt

        Total current = I = 1 A

                  \(\sf R = \dfrac{V}{I}\\\\\\ R = \dfrac{8}{1}\\\\\)

                  R = 8 Ω

               R₁ + R₂ = 8 Ω

                2 + R₂ = 8

                      R₂  = 8 - 2

                      R₂ = 6 Ω

8)Voltage around R₂:

                  \(\sf V_2 = IR_2\\\\V_2 = 1*6\\\\\)

                  V₂ = 6 volt

9) Total R = 8 Ω

_________________________________________________

10) Total V = 12 volt

11)  Total R = 8 + 8

                 = 16 Ω

12) Total current I,

                \(\sf I = \dfrac{V}{R}\\\\I = \dfrac{12}{16}\\\\I = 0.75 \ A\)

13) Voltage at each resistor:

           V₁ = I*R₁

               = 0.75 * 8

               = 6 volt

         V₂ = I*R₂

              = 0.75 * 8

             = 6 volt

_______________________________________________________

     14) Total R =   40 + 20

                       = 60 Ω  

15) To find V₁, first find total voltage.

           I = 2 A ;  R = 60 Ω  

           V = IR    

              = 2 * 60

               = 120 V

        V₁ + V₂  =V

        V₁ + 80 = 120

                V₁ = 120 - 80

                 V₁ = 40 volt              

an ocean thermal energy power plant (aka heat engine) operates between the temperatures of 30 c (ocean surface) and 5 c (ocean at 2100 ft deep). the heat released by the power plant goes to 839 kg/s of ocean water at 5 c. this mass flow of water increased its temperature by 3.4 c. if the efficiency of the power plant is 2.5%, find how much power it generates.

Answers

The power plant produces 2,539.1 kW of power.

We can start by calculating the amount of heat absorbed by the power plant from the ocean at the surface:

Q_H = m*Cp*ΔT_H

where Q_H is the heat absorbed, m is the mass flow rate of water, Cp is the specific heat capacity of water, and ΔT_H is the temperature difference between the ocean surface and the power plant.

Q_H = (839 kg/s)*(4.18 J/(g·°C))*(30 °C - 5 °C)

Q_H = 101,562.2 kW

Similarly, we can calculate the amount of heat released by the power plant to the ocean at a depth of 2100 ft:

Q_C = m*Cp*ΔT_C

where Q_C is the heat released, ΔT_C is the temperature difference between the power plant and the ocean at a depth of 2100 ft.

ΔT_C = 3.4 °C

Q_C = (839 kg/s)*(4.18 J/(g·°C))*(3.4 °C)

Q_C = 11,575.2 kW

The efficiency of the power plant is given as 2.5%, which means that the power generated is:

η = W/Q_H

where η is the efficiency, W is the power generated, and Q_H is the heat absorbed.

W = η*Q_H

W = (0.025)*(101,562.2 kW)

W = 2,539.1 kW

Therefore, the power plant generates 2,539.1 kW of power.

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Explain the image below in terms of Newton’s Laws.

Explain the image below in terms of Newtons Laws.

Answers

The image given, is explained in terms of Newton's 1st law of motion.

What is Newton's 1st law of motion?

Based on Newton's First Law of Motion (Inertia).  An object at rest remains at rest, and an object in motion continues in motion at a steady speed and in a straight path until operated on by an unbalanced force.

Newton's first rule of motion states that if a pan of water were being moved along a track, the water would tend to keep moving ahead. However, the water will appear to splash to the right while it goes to the left. Space is nearly a perfect vacuum, devoid of both gravity and matter. Think about a satellite travelling 17,500 mph around the Earth. If a rock were to be launched from the satellite, it would orbit the earth adjacent to the satellite at a speed of 17,500 mph.

Here, in the given image, it is shown that the sofa is remain in the place unless a person forcefully move it from one place to another.

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1. In 10 seconds, a car accelerates 4 m/s/s to 60 m/s. How fast was the car going before it accelerated?

Answers

4m/s is the answer you are looking for

As you walk to science class, you start out at a speed of 2 m/s, for a time of 120 seconds (you’re really excited to get to class). Then you see your friend and slow down to a speed of 0.5m/s for 30 seconds. You stop at your locker for 40 seconds (a speed of 0 m/s). You realize that you are about to be late so you hurry to class at a speed of 1 m/s and get to class just as the bell rings (4 minutes after your trip started). How far did you travel total?

Answers

The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.

What is Speed?

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.

For instance, 50 km/hr west denotes the velocity of a car whereas 50 km/hr (31 mph) denotes the speed at which it is moving down a route.

The average speed of an object is determined by dividing the distance traveled by the amount of time it takes the object to reach the distance.

Therefore, The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.

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Use the drop-down menus to answer each question about hurricanes. What helps create the spin in a hurricane? What is the center of a hurricane called? Over which kind of water do hurricanes form?

Answers

1.coriolis effect!

2. eye of the storm!

3. warm ocean water!

these should be correct!

Answer:I just did it

Explanation:sorry it’s late

Use the drop-down menus to answer each question about hurricanes. What helps create the spin in a hurricane?

If the current is 10 amps and the voltage source is 200 volts,
what is the resistance?

Answers

Answer:

4,000

Explanation:

Answer:

2000

Explanation:

A step-up transformer increases the voltage 20 timesIf the voltage of the primary coil is 100V_{i} what is the voltage of the secondary coll? Answer only a number without units or commas

Answers

Answer:

2000

Explanation:

well it is just   20 * 100 = 2000 v

is water wet? or does it make things wet?

Answers

Water is not wet itself or it does not make things wet. The water makes bond with the other materials through adhesive forces.

What is Wetness?

Wetness is a description of the experience of water, it is a quality of the liquid water. Liquid water is not itself wet, however it cannot even make things actually wet. Wetness is the ability of a liquid to adhere to the surface of a solid material, so when we say that something is wet, we mean that the liquid material is sticking to the surface of a material.

An adhesion is present between two things and something that the water molecules cannot do to itself. Water has to be wetted by something else or it makes no sense at all. Water can be wetted easily by oil or another foreign liquid, however it cannot wet itself.

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Does a soccer ball on the ground have energy

Answers

Answer:

No

Explanation:

The ball dose not have any kinetic energy or potential. Nothing is in motion or stored.

it only had energy if it is kicked . When a soccer ball is kicked, a certain amount of energy is transferred by the kick. The ball gains an equal amount of energy, mostly in the form of kinetic energy.

4. A pipe enters a water tank at a point 6.50 m below
the surface of the contained water. What is the
water pressure in this pipe?

Answers

Answer:

165 kPa

Explanation:

Absolute pressure is:

P = Patm + ρgh

where Patm is the atmospheric pressure,

ρ is the density,

g is acceleration due to gravity,

and h is the depth.

P = 101,300 Pa + (1000 kg/m³) (9.8 m/s²) (6.50 m)

P = 165,000 Pa

P = 165 kPa

A bus travels 6 km east and the 8 km south. The magnitude of the bus's resultant displacement is km

Answers

Answer:

Displacement, d = 10 km

Explanation:

It is given that,

Distance covered by the bus in east direction is 6 km and the distance covered by the bus in south direction is 8 km.

We need to find the resultant displacement. Displacement is the shortest path covered by an object. It can be given by :

\(d=\sqrt{6^2+8^2} \\\\d=\sqrt{36+64}\\ \\d=10\ km\)

So, the displacement of the bus is 10 km.

Who may perform a post-exposure medical evaluation?

A) A licensed physician


B) An LPN


C) A physician's assistant


D) Your employer

Answers

Answer:a licensed physician

Explanation: taking the osha test now.

A licensed physician is the one to carry out a post-exposure medical evaluation. (Option A)

Post-Exposure Medical Evaluation

Post-exposure Medical Evaluation is any medical evaluation started after exposure to a pathogen in order to prevent the infection from occurring.

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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

A 5.00 Ω and a 10.0 Ω resistor are connected in series across an unknown voltage. The total current in the circuit is 3.00 A. What is the total voltage drop for the entire circuit?

Answers

The total voltage drop for the entire circuit is calculated as 45.00 V.

What is voltage drop?

Amount of voltage loss that happens through all or part of circuit due to impedance is called as voltage drop.

When resistors are connected in series, the total resistance is the sum of individual resistances, i.e., R = R1 + R2.

For 5.00 Ω resistor, the voltage drop is V1 = IR1 = (3.00 A)(5.00 Ω) = 15.00 V.

For 10.0 Ω resistor, the voltage drop is V2 = IR2 = (3.00 A)(10.0 Ω) = 30.00 V.

Total voltage drop for the entire circuit is the sum of the voltage drops across each resistor:

V = V1 + V2 = 15.00 V + 30.00 V = 45.00 V.

Therefore, the total voltage drop for the entire circuit is 45.00 V.

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The force that keeps an object moving in a circle is called.

Answers

If you mean rolling as in “moving in a circle”, that force would be the force of friction.

the drawing shows three containers filled to the same height with the same fluid. in which container, if any, is the pressure at the bottom greatest?

Answers

c) Container A, because it has the greatest volume of fluid.

A runner is moving at a 18 m/s before accelerating at 4 m/sLaTeX: ^22 for 2 seconds. What was his final velocity? LaTeX: v_{f} = v_{0} + at

Answers

Answer:

hjiuhimnmuyy8 ny87ny7y7y

Explanation:

Physics assignment <3 [100 points]

Physics assignment &lt;3 [100 points]

Answers

Case A: The forces that are on the left and right are balanced, but the forces that are in the top and bottom aren’t so it would ultimately have a force of 4N. Which also means that the object is in motion.

Case B: All of the forces that have been applied on this object are in balance because they all cancel each other out. In conclusion it means that the object is not moving.

Case C: The forces that have been applied to this object are unbalanced. Therefore the object will move to the right because it has a force of 2N

What are the answers to this

What are the answers to this

Answers

Answer:

i cant even see that no one can i will answer it if u can make it bigger

Explanation: eyes

How much energy does it take to heat 250 g of water from 10.0°C to 85.0 °C? (density of water = 1000 kg/m3, specific heat of water = 1 cal/g °C = 4186 J/kg K) a) 8.70x104 cal. b) 1.88x104 cal. c) 7.85x104 cal. d) 78.5 cal.

Answers

The energy needed to heat 250 g of water from 10.0°C to 85.0 °C IS 1.88 x 10⁴ cal. Therefore, the answer is (b) 1.88x10⁴ cal.

To calculate the energy needed to heat 250 g of water from 10.0°C to 85.0 °C, we need to use the formula:

Q = m x c x ΔT

Where Q is the energy needed (in joules), m is the mass of water (in kilograms), c is the specific heat of water (in joules per kilogram per Kelvin), and ΔT is the temperature change (in Kelvin).

First, we need to convert the mass of water from grams to kilograms:

m = 250 g / 1000 = 0.25 kg

Next, we need to calculate ΔT:

ΔT = 85.0 °C - 10.0°C = 75.0 K

Now, we can substitute these values into the formula:

Q = 0.25 kg x 4186 J/kg K x 75.0 K

Q = 7.85 x 10⁴ J

To convert this to calories, we need to divide by 4.184:

Q = 1.88 x 10⁴ cal

Therefore, the answer is (b) 1.88x10⁴ cal.

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what is relative velocity in one dimension if va and vb are the velocities of two body a and b respectively then prove vab=va -vb

Answers

Answer:

Relative velocity is nothing but the velocity of one body with respect to the velocity of some other body.  

Explanation:

Relative velocity may be defined as the rate at which the change of separation takes place between any two object.The relative velocity of any object A w.r.t. another object B when they are in motion is nothing but the rate of change of their position from one another.

Now, let the velocity of object A be  \($ v_A$\)

         and velocity of object B is \($ v_B$\)

Therefore, relative velocity of a object A when compared to the velocity of object B is given by \($v_{AB}=v_A - v_B$\).

         

If the light strikes the plastic (from the water) at an angle θwθwtheta_w , at what angle θaθatheta_a does it emerge from the plastic (into the air)?

Answers

The angle of refraction θa will be smaller than the angle of incidence θw.

When light passes from one medium to another, it undergoes a phenomenon known as refraction. The angle at which the light ray enters the second medium is called the angle of incidence (θi), and the angle at which it emerges from the second medium is called the angle of refraction (θr). In this case, the light is passing from water to plastic.
To find the angle at which the light emerges from the plastic (θa), we can use Snell's Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the velocities of light in the two media.
Mathematically, this can be written as:
sin(θi) / sin(θr) = v1 / v2
Given that the light strikes the plastic from the water at an angle θw, we can use the relationship between the angles of incidence and refraction:
sin(θw) / sin(θa) = vwater / vplastic
Now, assuming that the light travels faster in water than in plastic, the ratio of velocities will be greater than 1. Therefore, the angle of refraction θa will be smaller than the angle of incidence θw. In other words, the light will bend towards the normal as it enters the plastic.

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Which activity is best described as a scientific endeavor?
a. researching historical data to inform plans for preventing floods
caused by hurricanes
b. developing and testing devices used to measure the strength of
hurricanes
c. inventing technology that can be used to help buildings withstand
hurricanes
d. designing investigations to predict the effects of hurricanes

Answers

Science-based research is best suited to define the process of developing technologies that can be utilized to assist structures' survival activities. Option C is correct.

What is a scientific endeavor?

An approach to research where an issue is first recognized and then hypotheses that claim to be able to fix it are developed or tested using observations, and experiments.

Inventing technology that can be used to help buildings withstand activity is best described as a scientific endeavor.

Hence, option C is correct.

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A point charge produces an electric flux of +305 N⋅m2/C through a gaussian sphere of radius 15.0 cm centered on the charge. a What is the flux through a gaussian sphere with a radius 29.0 cm ?b What is the magnitude of the charge?

Answers

Given

The electric flux is

\(\phi=+305\text{ Nm}^2\text{ /C}\)

Radius of the sphere,

\(r=15.0\text{ cm}\)

To find

a. The flux through a gaussian sphere with radius of 29.0 cm.

b. The magnitude of the charge

Explanation

a. Since the gaussian sphere covers the same charge so the electric flux through both the sphere will be same.

Thus the required flux is

\(\phi=305\text{ Nm}^2\text{ /C}\)

b.

The magnitude of the charge is

\(\begin{gathered} Q=\phi\epsilon_o \\ \Rightarrow Q=305\times8.85\times10^{-12} \\ \Rightarrow Q=30.97\times10^{-12}\text{ C} \end{gathered}\)

Conclusion

a. The flux is

\(305\text{ Nm}^2\text{ /C}\)

b. The charge is

\(30.97\times10^{-12\text{ }}C\)

when high voltages are present, a glow may be seen around sharp points, known as

Answers

When high voltages are present, a glow may be seen around sharp points, known as corona discharge.

This glow is caused by the ionization of the air molecules near the sharp point due to the electric field strength. The ionized air molecules emit light, creating a visible glow. The intensity and color of the glow depend on the voltage level and the gas composition of the surrounding environment.

Corona discharge is a phenomenon that occurs when high voltages are applied to a conductor, especially in the presence of a sharp point or a high electric field. It results in the ionization and excitation of the surrounding air molecules, creating a glowing or visible aura of light around the conductor. The ionized air can also produce a hissing or crackling sound. Corona discharge is often observed in high-voltage power lines, antennas, and other high-voltage equipment. It is important to note that corona discharge can cause power loss and interfere with the proper functioning of electrical systems, so efforts are made to minimize its occurrence in high-voltage applications.

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Calculate What is the change in speed of the P
wave as it goes from the mesosphere to the outer
core? From the outer core to the inner core?
lithc
asthenosphere

Answers

Don’t trust it u don’t wanna do that

What skills are used to move the body from one place to another? *

Answers

Your muscles, bones, heart and other things in the body.

Answer:

Walking, Running , Hopping, Jumping, Leaping

Explanation:

Because they made you move from one place to another

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