Gwen's position is a function of his velocity and time
Gwen's position at 45 seconds is 63.9 feet
How to determine Gwen's position at 45 seconds?The function is given as:
v(t) = 250sin(t^2/120)/(t + 6)
When t = 45, we have:
v(45) = 250sin(45^2/120)/(45 + 6)
Evaluate the sum, the exponent and the quotient
v(45) = 250sin(16.875)/(51)
Evaluate the sine ratio
v(45) = 250 * 0.2903/51
Evaluate the product and quotient
v(45) = 1.42
The position is then calculated as:
S(45) = v(45) * 45
This gives
S(45) = 1.42 * 45
Evaluate the product
S(45) = 63.9
Hence, Gwen's position at 45 seconds is 63.9 feet
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The displacement is the shortest between any two given points. The displacement of Gwen at the time period of 45 seconds is 63.9 feet.
What is displacement?The displacement is the shortest between any two given points. It is the product of velocity and time.
Given that the function of the velocity is [tex]v(t)=\dfrac{250\sin\left(\frac{t^{2}}{120}\right)}{\left(t+6\right)}[/tex]. Therefore, substitute the value of t as 45, to know the velocity of Gwen at 45 seconds,
[tex]v(t)=\dfrac{250\sin\left(\frac{t^{2}}{120}\right)}{\left(t+6\right)}[/tex]
[tex]v(45)=\dfrac{250\sin\left(\frac{45^{2}}{120}\right)}{\left(45+6\right)}\\\\v(45) = 1.42[/tex]
Since displacement is the product of velocity and time, therefore, the displacement is equal to,
[tex]s = v \times t\\\\s = 1.42 \times 45\\\\s = 63.9\rm \ feet[/tex]
Hence, the displacement of Gwen at the time period of 45 seconds is 63.9 feet.
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1. The Particle Theory of Matter says that. A. Particles are in constant motion
b. Everything is made up of particles
c. Plasmas have charged particles
d. Solids have no particles
Answer:
a. Particles are in constant motion.
At a construction site, a crane lifts an object to a certain height in 12 seconds, and a second crane does the same work in 6 seconds. Compared to the power developed by the first crane, the power developed by the second crane is which of the following?
A. The same
B. One-half as much
C. Twice as much
D. Four times as much
option C
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Help please. Will give brainliest
Answer:
Your answer would be:
B.) Both carry energy in the form of vibration
Explanation:
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After a massive-star supernova, what is left behind?.
Answer: A Nebula is left behind. A spectacular explosion in which a star ejects most of its mass in a violently expanding cloud of debris.
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If an electron is released at the equator and falls toward earth under the influence of gravity, the magnetic force on the electron will be toward the
If a 2.00 kg ball is thrown straight up world and its maximum height is 25.51 m. Approximately how much potential energy (PE) dose the ball possess when it reaches it’s maximum height (g=9.8 m/s^2)
Answer:
500
Explanation:
im not sure if this is right but if its not im very sorry and i hope you have a great day or night wherever you are
The free-body diagram below represents all the forces acting on an object. What is the net force acting on this object?
300 N right
100 N down
0 N up
200 N right
Answer:
200 N Right
Explanation:
The 50 up and 50 down balance or 'cancel' each other
then you only have the 200 N to the right
Control rods are used to slow down the reaction in the reactor core when the core becomes too hot. please select the best answer from the choices provided t f
In nuclear reactors, control rods are used because reactions that occur in a nuclear reactor are highly exothermic in nature.
What is a nuclear reactor?A nuclear reactor is an apparatus or structure in which radioactive material can be made to undergo a commanded, self-sufficient nuclear reaction with the resultant release of energy.
Therefore, when these control rods are infused in a nuclear reactor, than it absorbs the neutrons and helps to control the chain reaction. As a result, the rate of chain reaction gets in control.
Thus, we can conclude that the statement control rods are used to slow down the reaction in the reactor core when the core becomes too hot is a true statement.
Thus In nuclear reactors, control rods are used because reactions that occur in a nuclear reactor are highly exothermic in nature.
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Answer:
TRUE ( T )
Explanation:
Just took the test on edge
1. What is one way that light waves differ from sound waves?
A. Light waves all have the same frequency..
B. Light waves travel by oscillation.
C. Light waves do not require a medium to propagate.
D. Light waves transfer energy.
2. Which best explains why high frequency electromagnetic waves are more likely to cause harm to living things?(1 point)
A. As a wave's frequency increases, more energy is carried by the wave in a given time period.
B. As a wave's frequency increases, less energy is carried by the wave in a given time period.
C. As a wave's frequency increases, a constant energy is carried by the wave in a given time period.
D. As a wave's frequency increases, the energy carried by the wave in a given time period is equal to zero.
3. How do the frequencies and the speeds of yellow light and blue light compare?
This is defined as a propagation of disturbances from place to place in a regular and organized way.
The answers provided above are therefore the most appropriate choices in this scenario.
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Answer: Light waves do not require a medium to propagate and As a wave's frequency increases, more energy is carried by the wave in a given time period.
Explanation:
A light-year is a unit of measurement that would most appropriately be used to measure which distance?
a. Between two galaxies b. Between Earth and Jupiter c. Between Earth and the sun d. Between the moon and Earth
A light-year is a unit of measurement which is used to measure distance between the Earth and the sun.
What is Light year?This is defined as the distance light travels in the time it takes the Earth to orbit the Sun.
It is also the distance a beam of light travels in a single earth year which is why option C was chosen as the most appropriate choice.
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A coffee filter of mass 1.3 grams dropped from a height of 3 m reaches the ground with a speed of 0.5 m/s. How much kinetic energy Kair did the air molecules gain from the falling coffee filter
Answer: .0380575J
Explanation:
The coffee filter originally only had potential energy, which can be found by:
PE = m * g * h → PE = .0013 * 9.8 * 3 = .03822 J
*Note the mass must be in kg!!!
All of this energy should be converted to kinetic energy, but the air molecules take some of the energy; the energy they gain can be found by finding how much energy the filter has at the bottom of its fall, and subtracting this from the original energy to see how much was lost;
All of the energy at the bottom equals kinetic energy, which can be found by:
KE = 1/2 * m * v^2 → KE = 1/2 * .0013 * .5^2 = .0001625 J
Thus, the air gained .03822 - .0001625 = .0380575J :)
A solid cylindrical disk has a radius of 0.15 m. It is mounted to an axle that is perpendicular to the circular end of the disk at its center. When a 50-N force is applied tangentially to the disk, perpendicular to the radius, the disk acquires an angular acceleration of 110 rad/s2. What is the mass of the disk?
For A solid cylindrical disk has a radius of 0.15 m, The mass of the disk is mathematically given as
M=6.06kg
What is the mass of the disk?Generally, the equation for the Torque is mathematically given as
t=Ia
Therefore
FR=Ia
50*0.15=M((15^2)/2*10)
M=100/110*15
M=6.06kg
In conclusion, the mass of the disk
M=6.06kg
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For ____________, the error is calculated by finding the sum of squared distance between actual and predicted values
Answer: It is minimising
For minimizing, the error is calculated by finding the sum of the squared distance between actual and predicted values.
What is the error?The difference between the measured and analysis of the financial statements might well be defined as an error. For instance, if the two operators use the same complete and precise tool.
We have:
For ____________, the error is calculated by finding the sum of the squared distance between actual and predicted values
The correct answer is minimizing because according to the information provided in the problem. The sum of squared distance between actual and anticipated values is calculated to "minimize" the mistake.
This is one of the most significant aspects of statistics, and it involves mathematical computations involving error calculations for various values.
Thus, for minimizing, the error is calculated by finding the sum of the squared distance between actual and predicted values.
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What is the moons gravity
Answer:
The moons gravity is 1.62 m/s²
help me with this one aswell, too confused and tired for this
In your own words describe the physiological significance of the fev1/fvc ratio
Answer:
if you doctor suspect that you have COPD , they will calculate your fev1/fvc ratio . this represent the percentage of your lung capacity that you can explain in one second. the higher your percentage , the larger your lung capacity and the healthier your lungs
The ratio [tex]\frac{FEV1}{FVC}[/tex] indicates the diameter of an airway. The greater the value, the more quickly air can pass through the airway.
What is lung volume?The volume of air in the lungs at different stages of the respiratory cycle is referred to as lung volumes and lung capacities. An adult human male's entire lung capacity is around 6 liters of air.
The ratio [tex]\frac{FEV1}{FVC}[/tex] indicates the diameter of an airway. The greater the value, the more quickly air can pass through the airway. As a result, the lower the resistance, the broader the airway becomes.
Hence the lower the resistance, the broader the airway becomes.
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Three 20W resistors are connected in series across a 120 V generator. What is the total resistance of the circuit and what current flows in the circuit?
The total resistance and current flowing through the circuit is equal to 60 Ohms and 2 Amperes respectively.
Given the following data:
Resistors = 20 Ohms.
Voltage = 120 Volts.
How to determine the total resistance.Since the three resistors are connected in series, we would calculate their total resistance by adding them up as follows:
RT = R1 + R2 + R3
RT = 20 + 20 + 20
RT = 60 Ohms.
Next, we would determine the current that is flowing through the circuit by applying Ohm's law.
From Ohm's law, we have:
V = IR
I = V/R
I = 120/60
I = 2 Amperes.
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What is the average angular speed of the grindstone 10 rad/s
Answer:
avg w= (delta theta)/delta T = (10 rad/s - 8 rad/s) / (4 s-0) = .5 rad/s Vt= r * avg w = 4m * .5 rad/s = 2 rad/s
Why would the force of gravity change between the earth and sun when the mass of the earth increased
What type of charge is acquired when a rubber is rubbed with a fur
Answer:
The triboelectic charging process (a.k.a., charging by friction) results in a transfer of electrons between the two objects that are rubbed together. Rubber has a much greater attraction for electrons than animal fur.
Explanation:
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The amount of potential energy possessed by an elevated object is:.
A thermoacoustic generator transforms thermal energy into electrical energy. Thermal energy is transferred to a gas by a heat exchanger. The thermal energy causes the gas particles to vibrate rapidly and generate a sound wave. These vibrating gas particles are then used by an alternator to generate electrical energy. The gas used in this kind of generator must be nonreactive to avoid the danger of fire. Using heavier gases increases the amount of electrical energy generated.Which two elements on the table are most likely to be good choices for use as the gas in a thermoacoustic generator?
Answer:
Co2
Explanation:
which thermometer one containing mercury or one containing alcohol, could be used in a polar region where the temperature reaches below -40 degrees?
Hello people ~
Sound is a kind of
(a) work
(b) energy
(c) force
(d) pressure
Answer:
B. Energy
Explanation:
Sound is a kind of energy. In physics, sound is seen as anenergy that is generated through vibrations
Answer:
Energy
Explanation:
Sound is generated through the collison of atoms or particles .It travels through air,water,solid surfaces .Sound has its speed 344m/s in air.The value of gravitational pull on the moon is 1.6m/s/s. what is the weight of a 85kg astronaut on the moon?
weight=
mass=
gravity=
formula:
substitution:
answer:
Explanation:
Gravity = 1.6 m/s^2
Mass = 85 kg
Full infomation needed your question is incomplete and BTW fomula : G Mm
R^2
Two equivalent sinusoidal waves travel toward each other on a spring they interfere. What if the waves traveling toward each other aren't sinusoidal but a series of pulses as seen in the picture? What effect does this have on the spring?
Answer:
Superposition would take place
Explanation:
The waves would interfere with one another either in the form of Constructive Interference or Destructive Interference.
By which factor is the sound intensity decreased at 3 meters?
StartFraction 1 over 9 EndFraction.
StartFraction 1 over 3 EndFraction.
StartFraction 1 over 2 EndFraction.
StartFraction 1 over 4 EndFraction.
Distance is the factor that decreased the sound intensity.
Which factor decrease sound intensity?As a sound wave carries its energy through a medium, the intensity of the sound wave decreases with increasing distance from the source.
So we can conclude that distance is the factor that decreased the sound intensity.
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By a factor of 1/9, the sound intensity decreased at 3 meters. Option A is correct,
What is the relation between sound intensity and distance?Sound intensity is inverse proportional to the square of the distance.
The intensity of the sound is;
[tex]\rm I = \frac{1}{d^2} \\\\ \rm I = \frac{1}{3^2} \\\\ I=\frac{1}{9}[/tex]
By a factor of 1/9, the sound intensity decreased at 3 meters.
Hence, option A is correct,
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When a car is struck by lightning, the resulting electric field inside the car is.
Answer: When a car is struck by lightning, the resulting electric field inside the car is zero.
Explanation:
Thermal energy is transferred between objects when they have?
A. the same mass
B. different temperatures
C. the same kinetic energy
Answer:
B. different temperatures
Explanation:
Thats how they transfer energy because if one object is hotter then the other, the heat can still be transfer to the other object and make their temperatures the same
2. What is the difference between electric potential energy and gravitational potential energy? Name one
example of an object having one type of potential energy but not the other.
Gravitational potential energy is an energy acquired by an object due to a change in its height when it is present in a gravitational field. It is denoted by P or U. and it its expressed in joule. Gravitational potential energy is given by U = mgh where m is the mass of the object, g is acceleration due to gravity and h is the height.
when we take an object of mass m to a certain height in the field of gravitation, we can say that body has potential energy and we release that body from that height, it falls.
Electric potential energy is the energy that is needed to move a charge against the electric field.
Electric Potential Energy is given by,
[tex]U_E = k \frac{q_1q_2}{r}[/tex] where k is dielectric constant, q is charge r is the distance.
Electric Potential Energy is the potential energy stored against electric field. it exist around the charged particle.
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