An object moves such that its velocity is defined as v(t) = −t³ + 4t² + 2t for 0 ≤ t ≤ 8 seconds. When does the object reach its maximum acceleration?Group of answer choices1.333 s2.897 s4.449 s12.270 s

Edison means with the claim that "there is no similar institution in existence" was that he had created the first ever laboratory dedicated to research and invention.

After the successful installation of his first power plants in the starting of 1880s, Edison lived up to his reputation as the "Inventor of the Age." For many years Edison had no single, central laboratory. He researched at his electrical manufacturing shops in Harrison, New Jersey and New York.

When his wife Mary died in 1884 he withdrew somewhat from electric light work. In 1887 he had decided to build a new facility near his house in West Orange, New Jersey, several times bigger than the Menlo Park laboratory had been. The new laboratory equipped with everything Edison had learned about the process of invention.

To know more about laboratory, here

https://brainly.com/question/19578873

#SPJ4

The magnitude and direction of a vector can be used to determine its components. In this situation, the magnitude of the vector????A is 7.00, and the angle.

theta1=30.01=30.0 with respect to the positive x-axis is supplied. The x-component of the vector????A may be calculated using the equation: x =???? * cos(), where???? is the vector's magnitude and is the angle with respect to the positive x-axis. As a result, the x-component of????A is: x = 7.00 * cos(30.0) = 7.00 * 1/32 = 7.00 * 0.8660 = 6.06 The y-component of the vector????A may be calculated using the equation: y =???? * sin(), where???? is the vector's magnitude and is the angle with respect to the positive x-axis. As a result, the y-component of????A is: y = 7.00. * sin(30.0∘) = 7.00 * 0.5 = 3.50 As a result, when????=7.00 and theta1=30.0, the components of the vector????A are: x = 6.06 and y = 3.50. When???=3.00 and theta2=120 with respect to the positive x-axis, the x-component of the vector??? may be calculated as follows: x = 3.00 * cos(120∘) = 3.00 * -0.5 = -1.50 The y-component of the vector???? may be calculated as follows: y = 3.00 * sin(120) = 3.00 * 0.8660 = 2.59 As a result, the components of the vector???? when????=3.00 and theta2=120 are as follows: x = -1.50 and y = 2.59.

learn more about components  here:

https://brainly.com/question/29377319

#SPJ4

the length of the half-life of this reaction is 178.75 minutes, which is closest to option e) None of these.

The length of the half-life (T1/2) of a first-order reaction is defined as the time it takes for the concentration of the reactant to decrease to half of its initial value.

Since the reaction is 45% complete after 43 minutes, we can calculate the half-life as follows:

T1/2 = (43 minutes) / ln(2) * log(100% / 45%)

T1/2 = (43 minutes) / ln(2) * log(2.22)

T1/2 = (43 minutes) / 0.693 * 0.347

T1/2 = (43 minutes) / 0.240

T1/2 = 178.75 minutes

To know more about   first-order reaction, click on the link

https://brainly.com/question/12446045#

#SPJ11

It is true that the remanent magnetization of a material is its level of permanent, internal magnetization in no applied magnetic field.

The magnetization left behind in a ferromagnetic substance (such as iron) when an external magnetic field is removed is referred to as remanence, remanent magnetization, or residual magnetism. When a magnet is "magnetised," it exhibits remanence.

Magnetization, also known as magnetic polarisation, is a vector quantity that represents the density of a magnetic material's permanent or induced dipole moment.

When there is an applied magnetic field the the material gets magnetized but when the material is not under any magnetic field, then the remanent magnetization is known as the permanent real magnetization of the material.

To know more about magnetization, visit,

https://brainly.com/question/12740727

#SPJ4

The total angular momentum of the child plus the merry-go-round remains constant.

Angular momentum is a measure of an object's rotational motion and is equal to its mass times its velocity around a point. In this scenario, the child is walking towards the center of the rotating merry-go-round, thus changing its velocity.

However, as there is no external force acting on the system (child and merry-go-round), the total angular momentum must remain constant as per the law of conservation of angular momentum.

You can learn more about Angular momentum at

https://brainly.com/question/4126751

#SPJ4

the electrical potential due to a point charge of 7.00 μc at a distance of 0.500 cm is 126 volts.

Electric potential, the amount of work needed to move a unit charge from a reference point to a specific point against an electric field.

Given that,

point charge = 7.00 μc at a distance of 0.500 cm

assuming that potential is equal to zero as →[infinity]

Potential at a distance 9 cm,  v = kq/r

k = 9 x 10^9

v =  9 x 10^9 x 7 x 10^-6 / 0.5 x 10^-2

  = 126 v

therefore the electrical potential due to a point charge of 7.00 μc at a distance of =0.500 cm is 126 volts.

Learn more about electric potential here :

https://brainly.com/question/12645463

#SPJ4

Answer:

Explanation:

0.1

The winding of the relay coil has very low resistance, due to the high requirement of electric current.

Relay coil is an automatic switch that open & close the circuit & it is based on the magnetic effect of electric current. The relay coil works as an electromagnet. When the current is supplied through it, it attracts the connecter and circuit becomes closed in other way. The attraction force is a magnetic force which is formulated as F = BILSinθ.

So Magnet force is directly proportional to the electric current(I). By Ohm's law I = V/R, we can see that less the resistance more will be the current for a constant voltage. And more the current more will be the magnetic force for efficient work of the electromagnet.

To know more about relay coil, here

https://brainly.com/question/6669918

#SPJ4

a. (i)is; (ii) is . In an elastic collision, the total momentum of the system is constant, while the total kinetic energy of the system is constant.

Elastic collisions occur if there is no net loss of kinetic energy within the system as a result of the collision. Unexpected crashes. Inelastic collisions are the type of collisions in which there is a loss of kinetic energy.

An object's linear momentum is conserved in an elastic collision. The thing had conserved its entire amount of energy. Kinetic energy in the system is also maintained constant. An elastic collision involves conservative forces.

Collisions could occur of two different types: Momentum is conserved in inelastic collisions, so although it is also conserved in elastic collisions together along with kinetic energy.

Learn more about elastic collision here:

brainly.com/question/12644900

#SPJ4

The total energy of the system is: 90 Joules

It is the energy possessed by a body due to its relative motion. It is usually expressed in Joules (J).

The kinetic energy formula and the procedure we will use is:

K.E. = 1/2 * m * v²

Where:

Information of the problem:

Applying kinetic energy formula we get:

K.E. = 1/2 * 5.0 kg * (6.00 m/s)²

K.E. = 1/2 * 5 kg * 36 m²/s²

K.E. = 90 kg*m²/s²

K.E. = 90 Joules

Learn more about kinetic energy at brainly.com/question/114210

#SPJ4

The maximum possible magnitude of the electrostatic force between those two parts is calculated to be 7.19 × 10¹⁵ N.

The electrostatic force expression is as follows:

F = k Q q/r²

where,

Q, q are charges

k is Coulomb's constant

r is the separation between charges

In this problem, Q = q = 5.9/2 = 2.95 C

Separation is given as 3.3 mm = 3.3 × 10⁻³ m

The value of k is 9 × 10⁹ N m²/C².

After plugging the values into the equation above, we have,

F = k Q q/r² = (9 × 10⁹ ×2.95 × 2.95)/(3.3 × 10⁻³)² = (78.33× 10⁹)/(10.89 × 10⁻⁶) = 7.19 × 10¹⁵ N

To know more about electrostatic force:

https://brainly.com/question/13263797

#SPJ4

The y-component of the vector with an x- component of 4.6m and magnitude of 13.7 m would be 12.9 m

The length of a vector, denoted by the notation |v|, can be determined by using the magnitude of a vector formula, which is used to compute the magnitude of the vector itself. This value effectively measures the length that must be traveled from the vector's starting point to its ending position. The formula to determine the magnitude of a vector (in two dimensional spaces):

                                      v = (x, y) is: |v| =√(x2 + y2)

In this case, we have:

Magnitude (v) = 13.7

x-component (x) = 4.6

Thus, the y-component of the vector would be:

|v| =√(x2 + y2).

13.7 = √(4.62 + y2)

y2 = 166.53

y = 12.9

To learn more about vector, click here:

https://brainly.com/question/28173919

#SPJ4

Only normal acceleration occurs in a uniform circular motion, and it moves in the direction of the center. Tangential acceleration is equal to zero.

A particular kind of motion in which an object moves in a circle at a fixed speed is known as uniform circular motion. Any point on a propeller, for instance, that is rotating at a consistent speed is doing uniform circular motion.

Two properties let us recognize a particle moving uniformly in circles: It travels in a circle with a radius of r and moves at a constant speed v. The particle's acceleration is then radially pointed toward the center of the circular path and has a magnitude of v2/r.

The weight of the toy is: m = 1 k g

The circle's diameter is r = 1.5 meters.

To learn more about Tangential acceleration here:

https://brainly.com/question/14993737

#SPJ4

Reflection missing from BCC lattice are (100) , (111) , (210).

In BCC lattice reflection occurs from planes for which h+ k + I is an even integer so we find plains from the given options which do not have h+k+ I as even integers.

Out of all the options such plains are

(100) = 1+0 +0 is equals to 1 which is odd.

(111)=1+1+1 is equals to 3 which is odd.

(210) = 2+1+0 is equals to 3 which is also odd.

The above plane are the ones which are going to be missing from the reflection in the BCC lattice.

To learn more about BCC lattice click here ;

https://brainly.com/question/12977980

#SPJ4

The household device which most likely consumes the most power when in use is the electric oven.

There is a trend of growth in electricity consumption all over the world.

Here is the list of electricity usage on home appliances in order to minimize energy consumption.

Thus, since no option for space heating and cooling appliances, the appliance for heating is also an electric oven.

Learn more about electrical appliances by clicking this link :

https://brainly.com/question/20692760

#SPJ4

Depending on the substance, current and voltage have different relationships. You see, an object conducts current when a specific voltage is applied between two locations on it.

What is the connection between voltage (V) and current (I)?

To learn more about voltage refer to:

https://brainly.com/question/14503053

#SPJ1

As measure the tension at either end of the cable, as well as the horizontal distance between the weight and the person holding the free end of the cable.

[tex]T_A_B[/tex], [tex]T_A_E[/tex], and [tex]T_A_C[/tex] Represent the tensions in cables AB, AE, and AC, respectively.

[tex]u_A_B = \frac{ (AB)}{||AB||}[/tex]

[tex]u_A_E = \frac{ (AC)}{||AC||}[/tex]

[tex]u_A_C = \frac{ (AC)}{||AC||}[/tex]

Where ||AB||, ||AE||, and ||AC|| are the magnitudes of the vectors AB, AE, and AC, respectively.

The tension in cables AB, AE, and AC can then be stated as follows:

[tex]T_A_B=T_A_B\times u_A_B[/tex]

[tex]T_A_E=T_A_E\times u_A_E[/tex]

[tex]T_A_C=T_A_C\times u_A_C[/tex]

The tension on an object is equal to the product of the object's mass and gravitational force multiplied by the product of mass and acceleration. T = mg + ma is the mathematical representation.

To know more about tension, click here: brainly.com/question/15880959

#SPJ4

The velocity of the rocketship to go if the round trip is to take 40 years in time for astronauts aboard is 0.707c m/s.

The speed of any particle is given by the distance it travels in a unit of time. So, distance, d= s×t. This speed tells us about the travel speed of the light in an entire year. The light year defines the distance of a beam of light in space.

The distance of one side,x= 20 light years. The time is taken, T= 40yrs. So, the speed of the rocket is given by the equation,  1-V²/c² =V²×T²/x², 1/V²=(T²/x²) + (1/c²), V =[1/(T²/x²)+(1/c²)]^½, where c is the speed of light and its value is equal to 3×10^9 m/s and V is velocity. So for a round trip, the distance becomes,  x=x', x' =2×20 =40 light years. Now Substituting all these values in the equation for V, we get, V=[1/(40yr/40ly)+(1/c²)]^½, V=(1/2/c²)^½, V=0.707×c. So the velocity of the rocketship will be 0.707c m/s.

For further learning about speed in light years, refer to the link:

https://brainly.com/question/29090120

#SPJ4

Because of shorter wavelength, Blue light would release electrons with more kinetic energy. Yellow light would generate more electrons.

Blue and yellow light must have different intensities for the yellow light to emit electrons with more kinetic energy.

The yellow light must be more intense than the blue light since both lasers send the same amount of energy to the metal surface. The yellow light must therefore produce more electrons.

The expelled electrons must have a higher kinetic energy since the wavelength of blue light is shorter.

It is demonstrated by the photoelectric effect that light can behave like a particle. When photons are shone on a metal surface, electrons are expelled from the surface of the metal, which causes the photoelectric effect.

When compared to green light, the higher energy blue light ejects electrons with more kinetic energy.

No electrons are released by light below a specific frequency. In contrast, light exceeding that threshold frequency can emit electrons even at modest intensities. Electron ejection speed appears to be frequency dependent, with an increase in frequency resulting in an increase in speed.

Learn more about light here:-

brainly.com/question/15200315

#SPJ4

(a) When the swimmer steps off the diving board, his initial PE is 5800 J and his initial KE is zero.

(b) At the instant he is half way to the water just before he hits the water, half of his initial PE has been converted into KE, so his PE and KE are both equal to half of his initial PE: PE = KE = 0.5 * 5800 J = 2900 J.

(c) PE and KE just before he hits the water are 0 and 5800J.

(d) Height of the diving board above the water is 4.7 meters.

(e) Velocity of the swimmer just before he hits the water is 10.5 m/s.

The conservation of energy principle states that the initial potential energy (PE) plus the initial kinetic energy (KE) is equal to the final PE plus the final KE. When the swimmer steps off the diving board, his initial PE is 5800 J and his initial KE is zero.

As he falls towards the water, some of his potential energy is converted into kinetic energy (KE = 1/2 mv^2). At the instant he is half way to the water just before he hits the water, half of his initial PE has been converted into KE, so his PE and KE are both equal to half of his initial PE:

PE = KE = 0.5 * 5800 J = 2900 J

Since the mass of the swimmer is 62 kg, the velocity v can be calculated from the equation:

PE = mgh

h = PE / (m * g) = 2900 J / (62 kg * 9.8 m/s^2) = 4.7 m

So the height of the diving board above the water is 4.7 meters.

Finally, the velocity of the swimmer just before he hits the water can be calculated from the equation:

KE = 1/2 mv^2

v = √(2KE/m) = √(2 * 2900 J / 62 kg) = 10.5 m/s

So the velocity of the swimmer just before he hits the water is 10.5 m/s.

To know more about potential energy please refer:

https://brainly.com/question/9349250

#SPJ4

The complete question is:

When a swimmer stands on a high diving board, he has 5800 J of PE relative to the surface of the water. (a) What is his PE and KE the instant he steps off the board (b) when he is half way to the water (c) just before he hits the water. If the swimmer's mass is 62 kg (d) what is the height of the board above the water (e)the swimmer's velocity just before he hits the water?

The time required for the impact to reach its top speed of over 80 m/s is 53.33 seconds.

Acceleration can be defined as the rate of change of velocity of an object. Acceleration is a vector quantity as it has both the magnitude and direction. The SI unit of acceleration is meter per second square.

Acceleration = rate of change of velocity

a = (v-u)/t

where, a = acceleration of the object,

v = final velocity of the object,

u = initial velocity of the object,

t = time taken

a = 1.5m/s²

v = 80m/s

u = 0m/s

t = ?

t = (v-u)/a

t = (80-0)/ 1.5

t = 80/ 1.5

t = 53.33 seconds

Therefore, the time required to reach the top speed is 53.33 seconds.

Learn more about Acceleration here:

https://brainly.com/question/12550364

#SPJ1

The direction should the boatman steer when he wants to cross a canal that is 3 km wide and wants to land at a point 2 km upstream from his starting point. The current in the canal flows at 3.5 km/h and the speed of his boat is 13 km/h =  9.45 m in y-axis

The speed of the boat respect to the water:

[tex]\sqrt{x^{2} +y^{2} }[/tex] = 13

⇒ x² + y² = 169

And the current x = 3 (y - 3.5) / 2

169 = {3 (y - 3.5) / 2}² + y²

(4 x 169) = 9 (y - 3.5)² + 4y²

676 = 9 (y² - 7y + 12.25) + 4y²

13 y² - 63y - 565.75 = 0

Hence, we can use the quadratic formula:

y = [tex]\frac{63\sqrt{63^{2}+ (4)(13) (565.75)} }{26}[/tex]

≈ 9.45

So, the direction the boatman should steer = 9.45 m in y-axis

The question is incomplete, it should be:

A boatman wants to cross a canal that is 3 km wide and wants to land at a point 2 km upstream from his starting point. The current in the canal flows at 3.5 km/h and the speed of his boat is 13 km/h. In what direction should he steer?

Learn more about quadratic formula here: https://brainly.com/question/8649555

#SPJ4

The Anthropic Principle states that the physical laws of the universe must be what they are because they are the only laws that allow for the existence of human beings. The universe has several properties that make it "ready" for the existence of life forms like us.

One of these properties is a 1-part-in-105 mass-energy fluctuation in the early universe that allowed for the formation of galaxies like ours. This includes regions for solar systems with low intensity of X-rays and gamma rays, which are necessary for the existence of life.

Another important property is the balance between the forces of expansion and contraction for the universe. This balance results from a mass-energy density very close (or equal) to critical density, ensuring that the universe did not expand or collapse too fast.

There was also a slight initial excess of matter that survived the matter-antimatter annihilation, which contributed to the formation of life-supporting stars. Additionally, the strength of gravity is not too strong, allowing for the formation of stars with smaller masses that have longer lifetimes. Finally, the structure of atomic nuclei provides sufficient production of carbon nuclei in stars via fusion of three helium nuclei, which is essential for the formation of life.

In conclusion, the Anthropic Principle explains that the physical laws of the universe and its properties are precisely what they are because they are the only conditions that allow for the existence of human beings.

To learn more about nuclei visit:

https://brainly.com/question/21796566#

#SPJ11

Answer:

below

Explanation:

Remember     V = IR

  Then    V/R  = I

              10 v / 25 ohm = .4 A

The first equation of motion is velocity is equal to 'u + at '(initial velocity+ acceleration x time taken).

What is the derivation of equations of motion?

To learn more about velocity refer to:

https://brainly.com/question/21729272

#SPJ1

"Planting more trees brings rain because plants transpire" is the piece of evidence from the page that support the idea that forest promote rainfall.

Water is moved through a plant during transpiration, and it is evaporated from aerial parts of the plant, such as leaves, stems, and flowers. Even though plants need water to survive, only a small portion of the water absorbed by their roots is actually utilised for cellular growth and metabolism.

Transpiration and guttation cause the remaining 97-99.5% to be lost. In most plants, the undersides of the foliage have more of the tiny pores known as stomata that decorate the surface of leaves.

The guard cells that surround the stomata are responsible for opening and closing the pore, as are their stomatal accessory cells. Transpiration occurs through the stomatal apertures and is regarded as a "cost" of the stomata opening, which allows the diffusion of carbon dioxide gas from the atmosphere for photosynthesis.

Learn more about Transpiration

https://brainly.com/question/13891305

#SPJ4

Since ΔCp = 0 for this reaction, X will remain constant at a value of 100,000 at all temperatures. Therefore, the adiabatic equilibrium conversion is also 100,000 at 500 K.

The temperature dependence of the equilibrium conversion in an elementary solid-catalyzed liquid-phase reaction can be determined using the van't Hoff equation. The adiabatic equilibrium temperature can be estimated using the adiabatic temperature rise equation.

Adiabatic temperature rise equation: ΔT = ΔH/Cp

At a temperature of 300 K and with pure A fed to the reactor, the adiabatic temperature rise can be calculated as follows:

ΔH = -40,000 cal/mol - (-60,000 cal/mol) = 20,000 cal/mol

Cp = CPA + CPB = 50 cal/mol.K + 50 cal/mol.K = 100 cal/mol.K

ΔT = ΔH/Cp = 20,000 cal/mol / 100 cal/mol.K = 200 K

Adiabatic equilibrium temperature = 300 K + ΔT = 500 K

Equilibrium conversion can be calculated using the van't Hoff equation:

X = K298(T/298)^(ΔCp/R)

Where ΔCp is the heat capacity difference between products and reactants, R is the universal gas constant, and T is the temperature.

Since ΔCp = 0 for this reaction, X will remain constant at a value of 100,000 at all temperatures. Therefore, the adiabatic equilibrium conversion is also 100,000 at 500 K.

Learn more about adiabatic equilibrium here

https://brainly.com/question/14930930

#SPJ4

The velocity and direction of the truck and the car is 3.83 m/s towards the direction the truck.

Velocity is the rate of change of displacement

To  calculate the velocity of the car and the truck after collision, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

Learn more about velocity here: https://brainly.com/question/25749514

#SPJ1

Answer:

Density Definition: Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume. Density Symbol: D or ρ Density Formula: ρ = m/V, where ρ is the density, m is the mass of the object and V is the volume of the object.

Answer:

0.250 m/s^2

Explanation:

Using Δx=+12^2

the displacement in the first 10.0 seconds is found to be 50.0 m. =0+

gives velocity at the end of 10.0 s to be 10.0 m/s. Using the first equation, it is found that in order to complete the final 250.0 meters in the last 20.0 seconds, their acceleration must be 0.250 m/s2.

The calculated value is 3 m/s. Acceleration traveled by car from the starting point equals 4m+15m, or 19m.

The rate at which velocity changes is called acceleration. Acceleration typically indicates a change in speed, but not necessarily. An item that follows a circular course while maintaining a constant speed is still moving forward because the direction of its motion is shifting.

a=1m/s^2

Vi = 0

t = 3sec

V*t meters equals 3 m/s times 5 seconds, or 15 meters, in 5 seconds of continuous speed for a car.

Distance traveled by car from the starting point equals 4m+15m, or 19m.

mileage is calculated as Vi*t + 1/2at2 = 1/2*1m/s.

^2*3^2 * s^2 = 4•5 m

V equals Vi plus at plus 1 m/s.

2 × 3sec = 3m/s

Learn more about speed here-

https://brainly.com/question/29552176

#SPJ4