A car drives down a road in such a way that its velocity (in m/s ) at time t (seconds) is v(t)=3t^1/2 +3. Find the car's average velocity (in m/s ) between t=3 and t=8.

Where's the diagaram?

The speed of your friend during the circular distance is 2 times greater than your speed.

The distance you travelled and the distance travelled by your friend during one rotation is calculated as follows;

your circular distance = 2πr

where;

your distance = 2π(4 m) = 8π m

your friend's circular distance = 2πd

where;

your friends distance = 2π(8 m) = 16π m

The speed of each person at equal time is calculated as;

v = distance / time

your speed = 8π/t

your friend's speed = 16π/t = 2(8π/t)

Thus, your friend's speed = 2 times your speed.

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There are 72 possible combinations of pizza with one topping. Pizza is a popular and versatile dish that originated in Italy but has become popular worldwide.

To calculate the number of possible combinations of pizza with one topping, we need to consider the number of options for each component (size, crust, and toppings) and multiply them together.

Given:

Four sizes of pizza

Two types of crust

Nine toppings

Let's break it down:

Sizes of pizza: Since there are four sizes available, we have four options to choose from.

Types of crust: There are two types of crust available, giving us two options to choose from.

Toppings: We have nine toppings to choose from, but we want to select only one topping for each pizza. Therefore, we have nine options for the first pizza, nine options for the second pizza, and so on.

To calculate the total number of combinations, we multiply the number of options for each component:

Total combinations = Number of sizes * Number of crusts * Number of toppings

Total combinations = 4 * 2 * 9

Total combinations = 72

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1. The wet-bulb temperature of the conditioned air entering the air-conditioned space is 13.8°C.

2. The condition at the inlet of the cooling coil is 12°C and 100% relative humidity.

3. The mass flow rate of dry air flowing in this HVAC system is 3.2 kg/s.

4. The cooling capacity of the chilled water coil is 41.4 kW.

5. With chilled water supply and exit temperatures of 4°C and 15°C, respectively, the water flow rate in the water chiller is 2.46 kg/s.

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Answer:

In reality, the filament gets so hot it in a real sense bubbles off molecules and electrons. Now and again this material gathers as a dull spot at the highest point of the bulb. Eventually, the filament falls apart, gets frail, and breaks, subsequently finishing the life of the light. Lights radiate light by siphoning an electric flow through a dainty tungsten fiber. The filament warms and emits light. Over the long haul, the filament oxidizes and turns out to be increasingly fragile, until it splits up and the bulb goes out. ... Tungsten picks up obstruction as it warms.

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Ocean waves hitting a concrete barrier that reduces their energy, scenario is the best example of matter absorbing energy from a wave.

Common examples of absorption of wave energy: waves hitting the beach usually give most of their energy to the sand. sunlight landing on a face is mostly absorbed, warming the skin. sound waves hitting thick curtains give up their energy and the sound is muffled.

"A wave is a disturbance in a medium that carries energy without a net movement of particles. It may take the form of elastic deformation, a variation of pressure, electric or magnetic intensity, electric potential, or temperature."

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Answer:

16m/s

Explanation:

Mv=mv

5000x8=2500x v

V=5000x8/2500

V=40000/2500

= 16m/s

Answer:

So let's first start with the base which is a rectangle remember that the formula to solve the area

Explanation:

Take "to the right" to the be the positive horizontal direction. Then the net force on the box in the horizontal is

∑ F = 225 N - 100 N = 125 N

and by Newton's second law,

∑ F = ma   ↔   125 N = (250 kg) a

where a is the acceleration of the box. Solve for a :

a = (125 N) / (250 kg) = 0.5 m/s²

Answer:

36m/s

Explanation:

13 × 3 ....................=36

Yes, hot air balloons float in the air because of the low density of the air inside the balloon.

This can be explained with the help of Archimedes' principle and the ideal gas law. Understand Archimedes' principle - It states that an object immersed in a fluid experiences an upward buoyant force equal to the weight of the fluid displaced by the object. In the case of a hot air balloon, the fluid is the surrounding air.

Apply the ideal gas law - It states that PV = nRT, where P is pressure, V is volume, n is the number of moles of gas, R is the gas constant, and T is temperature. For a hot air balloon, the temperature (T) inside the balloon is higher than the surrounding air, which causes the air molecules inside to spread out and occupy a larger volume (V). This results in a lower density of air inside the balloon.

Relate the concepts - As the density of air inside the balloon decreases due to the increased temperature, the balloon displaces a greater amount of surrounding air. According to Archimedes' principle, this increases the buoyant force acting on the balloon, allowing it to float in the air.

In summary, hot air balloons float in air because the low density of air inside the balloon, caused by increased temperature, results in a greater buoyant force according to Archimedes' principle.

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Answer:

The correct statement about mass is: "Mass is a measure of the amount of matter in an object."

Answer:

The correct statement about mass is: "Mass is a measure of the amount of matter in an object."

Explanation:

The food handler should reheat the soup to 165°F for 15 seconds, turn up the steam table to maintain the correct temperature, and update the monitoring log.(option.b)

The food handler should take action because the temperature of the hot-held chicken soup at 2 PM is not acceptable. According to food safety guidelines, hot-held food should be maintained at a temperature of at least 135°F or higher to prevent the growth of harmful bacteria. In this case, the student question states that at 2 PM, the temperature of the soup is 132°F for 15 seconds, which is below the minimum safe temperature.

The food handler should follow these steps:

1. Reheat the soup to a temperature of at least 165°F for 15 seconds (option a). This will ensure that any harmful bacteria present in the soup are killed.

2. Turn up the steam table (option b) to maintain the soup at a temperature of 135°F or higher. This will prevent the growth of bacteria and ensure the soup remains safe for consumption.

3. Record the temperature and time on the monitoring log. It is essential to keep accurate records of food temperatures to ensure proper food safety practices are being followed.

In conclusion, the food handler should reheat the soup to 165°F for 15 seconds, turn up the steam table to maintain the correct temperature, and update the monitoring log.

The current temperature of 132°F is not acceptable (option c is incorrect), and the soup should not be thrown away (option d is incorrect) if proper reheating and temperature maintenance steps are taken.

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Almost every solid surface in our solar system is scarred by craters due to the impacts of various celestial bodies such as asteroids, comets, and meteoroids.

These objects are remnants from the early stages of our solar system's formation and continue to exist and move through space.
The scarred surfaces are a result of high-speed collisions between these celestial bodies and the solid surfaces of planets, moons, and other objects. When an object impacts a surface, it releases a tremendous amount of energy, causing an explosion and creating a crater. The size and depth of the crater depend on factors such as the size and velocity of the impacting object, as well as the composition of the surface being impacted.
Over billions of years, these impacts have accumulated and left their marks on planetary surfaces. However, the degree of cratering can vary among different celestial bodies based on factors such as their size, atmosphere, geological activity, and proximity to other objects that could influence the frequency of impacts.
Craters provide valuable insights into the history and geology of celestial bodies, as they can reveal information about past impacts, geological processes, and the age of the surface. They also serve as a record of the intense bombardment that occurred during the early formation of our solar system.

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The separation between a 5.2 kg particle and a 2.4 kg particle for their gravitational attraction to have a magnitude of 2.3x10^-12 N is approximately 0.018 meters.

The gravitational force between two point masses can be calculated using the equation F = G(m1m2)/r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass. Solving for r in this equation, we get r = sqrt(G(m1m2)/F). Plugging in the given values, we get r = sqrt((6.67x10^-11 m^3/kg s^2)(5.2 kg)(2.4 kg)/(2.3x10^-12 N)) = 0.018 m.

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Answer:

every four hours

Explanation:

Hot and Cold Holding of Potentially Hazardous Foods

When a source of heat is available, hold hot foods at 135 degrees Fahrenheit or higher and check the temperature every four hours. If the temperature of the food at four hours is less than 135 degrees Fahrenheit, the food must be discarded.

Given data:

* The mass on the frictionless table is,

* The mass hangs freely from the string is,

* The hanging mass falls a distance is,

Solution:

(1). The normal force of mass on the frictionless table is,

As the displacement of the mass m_1 on the frictionless table is in the hroizontal direction.

Thus, the work done by teh normal force is,

As both the normal force and displacement are perpendicuular to each other.

Thus, the work done by the nromal force on the mass m_1 is,

Thus, the work done by the normal force on m_1 is zero.

A convex mirror is a hollow spherical is divided into pieces the exterior surface of each cut portion is painted. The image of the plant has real, inverted, and smaller image characteristics.

When a hollow spherical is divided into pieces and the exterior surface of each cut portion is painted, it forms a mirror, with the inner surface reflecting the light.

A concave mirror is a name for this sort of mirror. An enlarged and fake image is caused when the concave mirror is positioned too near to the object.

When the distance between the item and the mirror is increased, however, the size of the image decreases, and a true picture is generated. The picture created by the concave mirror may be manipulated.

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Answer:

Real, Inverted, Smaller.

Explanation:

Just got right

Answer:

Explanation:

Given:

r = 5·10⁻⁵ m

q₁ = q₂ = | 1.602·10⁻¹⁹ | C - electron charge modulus

k = 8.99·10⁹  m² / C₂  -   the Coulomb’s constant

_______________

F - ? - electron repulsion force

According to Coulomb's law:

F = k·q² / r²

F = 8.99·10⁹·(1.602·10⁻¹⁹)² / (5·10⁻⁵)² ≈ 9,23·10⁻²⁰  N

The mass of 40K in a person is m0 * exp(- (ln(2) / 1.277 × 10^9 years) * (6.022 × 10^23 mol^-1) * (4130 Bq) * t)

To calculate the mass of 40K in a person that would have a decay rate of 4130 Bq (becquerels), we need to use the concept of radioactive decay and the relationship between activity, decay constant, and the number of radioactive nuclei.

The activity (A) of a radioactive substance is defined as the number of decays per unit time and is measured in Bq. The decay constant (λ) is a characteristic constant for each radioactive substance and represents the probability of decay per unit time.

The decay rate (dN/dt) can be expressed as the product of the activity (A) and the number of radioactive nuclei (N):

dN/dt = -λN

where the negative sign indicates the decay of radioactive nuclei over time.

The relationship between the number of radioactive nuclei (N), the mass (m), and Avogadro's number (N_A) can be given by:

N = (m/M) * N_A

where M is the molar mass of the radioactive substance.

To find the mass of 40K in a person that would have a decay rate of 4130 Bq, we can rearrange the equation as follows:

dN/dt = -λ * (m/M) * N_A

Since the number of radioactive nuclei is directly proportional to the mass, we can rewrite the equation as:

dm/dt = -λ * (m/M) * N_A

Now, we need to find the relationship between the decay constant (λ) and the half-life (t_1/2). The decay constant can be calculated using the equation:

λ = ln(2) / t_1/2

Substituting this expression into the previous equation, we have:

dm/dt = - (ln(2) / t_1/2) * (m/M) * N_A

Integrating both sides of the equation over time, we get:

∫ dm/m = - (ln(2) / t_1/2) * N_A * ∫ dt

Solving the integral, we have:

ln(m) = - (ln(2) / t_1/2) * N_A * t + C

where C is the constant of integration.

To solve for the constant of integration, we can use the initial condition that at time t=0, the mass of 40K is known to be m0. Substituting this into the equation, we get:

ln(m0) = C

Substituting C back into the equation, we have:

ln(m) = - (ln(2) / t_1/2) * N_A * t + ln(m0)

Taking the exponential of both sides, we obtain:

m = m0 * exp(- (ln(2) / t_1/2) * N_A * t)

Now, we can substitute the given values into the equation. The half-life of 40K is given as 1.277 × 10^9 years, and the decay rate is 4130 Bq.

Using Avogadro's number (N_A = 6.022 × 10^23 mol^-1) and the molar mass of potassium (M = 39.10 g/mol), we can calculate the mass of 40K in a person:

m = m0 * exp(- (ln(2) / t_1/2) * N_A * t)

= m0 * exp(- (ln(2) / 1.277 × 10^9 years) * (6.022 × 10^23 mol^-1) * (4130 Bq) * t)

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(a) The free-body diagram of the beam with the woman standing x-meters to the right of the first pivot is shown below:

Beam Diagram

(b) The woman is the furthest to the right when the normal force F⃗ N 1 is the greatest. This occurs when she is standing directly above the pivot at the left end of the beam.

(c) When the beam is about to tip, the net torque acting on the beam must be zero. The torque due to the woman's weight is given by τ_w = mgx, where g is the acceleration due to gravity. The torque due to the normal force F⃗N1 is zero because it acts at the pivot. Therefore, we have:

τ_net = τ_w - F_N2*l/2 = 0

Solving for F_N1, we get:

F_N1 = (mgx)/(L-l/2)

When the beam is about to tip, the normal force F⃗N1 is at its maximum value.

(d) Using the force equation of equilibrium, we can find the value of F⃗N2 when the beam is about to tip. The sum of the vertical forces must be zero, so we have:

F_N1 + F_N2 - Mg - mg = 0

Substituting the expression for F_N1 from part c), we get:

F_N2 = Mg + mg - (mgx)/(L-l/2)

(e) Using the result from part c) and the torque equilibrium equation, we can find the woman's position when the beam is about to tip. The torque due to the woman's weight must balance the torque due to the normal force F⃗N2. Therefore, we have:

mgx = F_N2*(L-x)

Substituting the expression for F_N2 from part d), we get:

mgx = (Mg + mg - (mgx)/(L-l/2))*(L-x)

Solving for x, we get:

x = (L*(M+m) - lm)/(2M + 2m - (2m*L)/(L-l))

Substituting the given values, we get:

x = 4.31 m

Therefore, the woman's position when the beam begins to tip is 4.31 meters to the right of the left pivot.

(f) We can check our answer by using a different axis of rotation. Let's choose the pivot at the right end of the beam as the axis of rotation. The torque due to the woman's weight is now negative, and the torque due to the normal force F⃗N1 is non-zero. Therefore, we have:

τ_net = -mg(L-x) + F_N1*l/2 = 0

Solving for F_N1, we get:

F_N1 = (2mgL - 2Mgx - mgl)/(2*l)

Substituting the given values, we get:

F_N1 = 594.0 N

This is the same value we obtained in part (c). Therefore, our answer is consistent with the laws of physics

Answer:

Independent Variable

Explanation:

The variables that are plotted on X-axis, the horizontal line of the graph are termed as independent variables. The variables plotted on Y-axis which is vertical side of the graph are dependent variables.

Answer:

The acceleration

Explanation:

The slope of velocity time graph is the acceleration

Kieran had a greater average speed than Jevon. Let us go into more detail in the explanation below. To compare the average speeds of Kieran and Jevon, we need to find out the speed of each person.

We can use the formula speed = distance/time. Kieran ran 8 laps in 18 minutes, which means he ran 8/18 = 0.44 laps per minute. To find out Kieran's speed, we need to multiply this by the length of one lap. If we assume that the length of one lap is 400 meters, then Kieran's speed is:0.44 laps per minute × 400 meters per lap = 176 meters per minute Jevon ran 6 laps of the track, but we don't know how long it took him.

Therefore, we can't calculate his speed directly. However, we can still compare his speed to Kieran's by using ratios. If we assume that Jevon ran the same length of track as Kieran, then we can write the following equation: Kieran's speed/Jevon's speed = Jevon's time/Kieran's time.

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Answer: A) and D)

Explanation:

a) The value of the required velocity is v(t) = t²/2 - 4t + 4e⁻⁵

b) The value of the required distance is S(t) = t³/6 - 2t² + 4e⁻⁵t + 5

c) The value of the velocity when t = 9 is approximately -28.2 m/sec

(a)To find v(t), we need to integrate a(t) first

a(t) = 2∫

a(t) dt = ∫ 2

dt = 2t + C1

Here, C1 is the constant of integration

Next, we need to integrate v(t) by substituting the value of a(t) into it

v(t) = ∫ (2t + C1)

dt= t² + C1t + C2

Here, C2 is another constant of integration

v(0) = - 4⇒ C2 = - 4

Also, given: v(t) = Vt + 4e⁻⁵

Comparing the above two equations:

v(t) = Vt + 4e⁻⁵ = t² + C1t - 4

On differentiating with respect to t, we geta(t) = 2

Therefore, we get the differential equation as:

Vt + 4e⁻⁵ = t² + C1t - 4 - - - - - - (1)

To find v(t), we need to solve this differential equation

Substituting t = 0, in (1), we get

-4 + 4 = 0 + C1(0)⇒ C1 = 0

Therefore, the differential equation becomes:

Vt + 4e⁻⁵ = t² - 4

On differentiating the above equation w.r.t t, we get:

a(t) = 2

Therefore, we get

v(t) = t²/2 - 4t + 4e⁻⁵ - - - - - - (2)

Thus, the required velocity is given by:

v(t) = t²/2 - 4t + 4e⁻⁵

Part (b) To find s(t), we need to integrate v(t) first

v(t) = t²/2 - 4t + 4e⁻⁵∫ v(t)

dt = ∫ (t²/2 - 4t + 4e⁻⁵)

dt= t²/6 - 2t² + 4e⁻⁵t + C3

Here, C3 is the constant of integration

Also, given that S(0) = 5⇒ C3 = 5

Therefore, we get

S(t) = t³/6 - 2t² + 4e⁻⁵t + 5 - - - - - - (3)

Thus, the required distance is given by:

S(t) = t³/6 - 2t² + 4e⁻⁵t + 5

Part (c) To find the velocity when t = 9We can use the value of v(t) obtained in part (a)⇒ v(9) = (9)²/2 - 4(9) + 4e⁻⁵⇒ v(9) = - 28.2 (approx)

Thus, the velocity when t = 9 is -28.2 (approx)m/sec.

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Answer:  

1 s

Explanation:

The speed of the sound, distance travelled and the time taken relationship is given as follows.

Speedofsound,v=Distancetravelled×Timetaken ----eqn 1

With the given values of wavelength = 50 cm = 0.5 m and frequency =1000 Hz, the speed of the wave is calculated as follows.

Speedofsound,v=Frequency(ν)×Wavelength(λ) -- eqn 2

That is, v=ν×λ=1000Hz×0.5m=500m/s

Substituting the value of the speed of sound in eqn 1 gives the time taken for the sound wave to travel a distance of 500 m.

That is, Timetaken=

Distancetravelled

Speedofsound

​

=

500m

500m/s

​

=1second.

Hence, the time taken for the sound wave to travel is 1 second.

The speed with which the waves will be travelling is 12.5m/s.

Given the data in the question;

Speed of the wave; \(v =\ ?\)

To determine how fast the waves will be travelling, we use the expression for the relations between wavelength, frequency and speed of wave.

\(\lambda = \frac{v}{f}\)

Where \(\lambda\) is wavelength, f is frequency and v is speed of wave

We substitute our values into the equation

\(0.5m = \frac{v}{25s^{-1}} \\\\v = 0.5m * 25s^{-1}\\\\v = 12.5ms^{-1}\)

Therefore, the speed with which the waves will be travelling is 12.5m/s.

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Answer:

The recurve bows

Explanation:Vote brainliest plz

The velocity of the plane is 120 km/hr.

Velocity is the pace at which an object's location is changing as perceived from a particular point of view and as measured by a certain unit of time (for example, 60 km/h northbound). Velocity is the direction at which an object is traveling. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that deals with the motion of bodies. In order to be defined, the physical vector quantity known as velocity needs to have both a magnitude and a direction. Speed is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI. Speed is the scalar absolute value (magnitude) of velocity (metric system). As opposed to "5 meters per second east," which is a vector, "5 meters per second," for instance, is a scalar.

Distance traveled = 360 km

Time taken = 3 hours

Hence, velocity = 360/3 = 120 kmph

Thus, the velocity of the plane is 120 km/hr.

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