calculate the horizontal distance, xmax , in meters, that the ball has traveled when it returns to ground level.

The relationship between these voltages vs = vr + vc. In  an RC series circuit, the total voltage across all components in the circuit must equal the source voltage, according to Kirchhoff's loop rule.

In an RC series circuit, the total voltage across all components in the circuit must equal the source voltage, according to Kirchhoff's loop rule. Therefore, the relationship between the source voltage (vs), the voltage across the resistor (vr), and the voltage across the capacitor (vc) can be expressed as follows:

vs = vr + vc

This equation states that the sum of the voltages across the resistor and the capacitor must equal the source voltage in order to satisfy the law of conservation of energy in the circuit. The relationship between these voltages vs = vr + vc. In  an RC series circuit, the total voltage across all components in the circuit must equal the source voltage, according to Kirchhoff's loop rule.

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The star in the observable cosmos is about equal to: A) The amount of sand grains on all of Earth's beaches

What sort of things are stars?

A star is formed in an enormous gas cloud. The sky's temperature is too moderate for the creation of molecules. The Delta haze groups in the Orion galaxy are stars in this stage of development. 2. Protostar When gas particles hit in the solar nebula, heat energy is produced.

The Sun is a star, but why?

The energy and light provided by the sun, which is actually a star, are essential in maintaining all life on earth. Nuclear fusion events that take place inside stars are what give them their light. A byproduct of this process, which turns hydrogen into helium, is energy. This energy is what manifests as light for humans.

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To calculate the charge on each plate, you need to use the equation for capacitance, which is C = εA/d, where ε is the permittivity of air, A is the area of the plate, and d is the distance between the two plates.

In this case, the permittivity of air is 1.0006, the area of the plate is 45 cm2, and the distance between the two plates is 2.45 mm. Plugging in these values, the capacitance is 2.79108xC. This means that each plate must be charged with a charge of 1.39554xC in order to achieve the desired electric field.

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a helicopter takes off vertically, with a constant speed [tex]V_o[/tex] while rising, the pilot releases a coin.  so they initially rise with speed  and then reduce its speed come to rest and then increase its speed as it goes down

Speed is the pace at which an object moves along a path over time. Calculating speed mathematically is rather simple; the average speed of an object is determined by dividing its distance traveled by its speed over that distance. On the other hand, the calculation of velocity is more difficult mathematically and can be done in a number of ways based on the information given regarding the object's motion.

According to given question acceleration is 0 because helicopter takes off constant velocity [tex]V_o[/tex] so when pilot releases a coin then they initially rise with speed  and then reduce its speed come to rest and then increase its speed as it goes down

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The work done by the electric field in moving a proton from a point at 0 V to a point at 100 V is 1.602 × 10⁻¹⁷J or 100 eV.

What moves a charge when an electric field is present?

Charges in an electric field need to work their way around through some form of labour. In order to marginally counteract Q's repulsive force, we apply a force to it. Now let's fix this: The formula W = F·d states that the amount of labour is equal to the product of the force and the distance.

To find the work done by the electric field in moving a proton from one point to another, we can use the formula:

W = qΔV

where W is the work done, q is the charge of the particle (in this case, the charge of a proton, which is 1.602 x 10⁻¹⁹ C),

Assuming that the potential at the initial point is V1 = 0 V, and the potential at the final point is V2 = 100 V, we have:

ΔV = V2 - V1 = 100 V

W = (1.602 x 10⁻¹⁹ C) × (100 V) = 1.602 × 10⁻¹⁷ J

To express this answer in electron volts, we can use the conversion factor:

1 eV = 1.602 x 10⁻¹⁹ J

Dividing the work done by this conversion factor, we get:

[tex]$\mathrm{W = \frac{(1.602 \times 10^{-17} J)}{(1.602 \times 10^{-19 }J/eV)} = 100 eV}[/tex]

Therefore, the work done by the electric field in moving a proton from a point at 0 V to a point at 100 V is 1.602 × 10⁻¹⁷J or 100 eV.

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The potential difference across the resistor was found to be directly proportional to the current flowing through it at a constant temperature, then the resistor would be considered ohmic and would obey Ohm's law.

If the potential difference and current were found to have a non-linear relationship, then the resistor would be non-ohmic and would not obey Ohm's law. If the graph is a straight line passing through the origin, then the resistor is ohmic and obeys Ohm's law. If the graph is not a straight line passing through the origin, then the resistor is non-ohmic and does not obey Ohm's law.

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When cold air and warm are added to the same container then the warm air will get colder and cold air will get warmer.

The warm air molecules have more kinetic energy than the cold air molecules when the two air masses are blended. As a result, the warm air molecules attack the cold air molecules and transmit some of their kinetic energy. Up until balance is established, the warm air will get colder and the cold air will get warmer.

Two systems are considered to be in thermal equilibrium with one another when they are in contact with one another and there is no energy movement between them. Thermal equilibrium, said simply, denotes that both systems are at the same temperature. Our daily lives are so reliant on the idea of thermal homeostasis.

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The warmer air rises and acts as a lid, trapping the colder air near the ground. The air layer closest to the ground becomes more and more polluted as a result of pollution, including that from traffic, being trapped. This continues until the current meteorological conditions change.

What is temperature ?

Temperature is a unit used to represent how hot or cold something is. It can be stated using the Celsius or Fahrenheit scales, among others. Temperature shows which way heat energy will naturally flow, i.e., from a hotter (body with a higher temperature) to a colder (body with a lower temperature) (one at a lower temperature).

What is pollution ?

The release of dangerous substances into the environment is referred to as pollution. Pollutants are these dangerous materials. Natural substances like volcanic ash are examples of pollutants. They may also be the result of human activity, such as the production of factory runoff or waste.

In a temperature inversion, the warmer air serves as a lid, keeping pollutants close to the ground and preventing them from dispersing until the weather changes. The chemicals consequently pose a significant threat to human health by reacting with one another to create other pollutants like ground-level ozone.

Therefore, Temperature inversions work to trap pollution is mentioned above.

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In order to locate intruders hiding behind the gate, we propose a device that employs infrared sensors and an alert system.

The camera that will be attached to our device will be on a long telescopic pole. The camera will be facing the area behind the school gate, so the pole will be placed close to the gate.

The gatekeeper will be able to clearly see any intruders who might be hiding behind the gate because the camera will be connected to a television or monitor. To ensure maximum safety, the camera will also have night vision and motion detection capabilities.

The camera will be connected to a remote control so that the gatekeeper can tilt and pan the camera to get a better view of the area behind the gate. This will make the device easy to use. The gatekeeper will be able to zoom in on any suspects using the zoom feature on the remote control.

Additionally, the device will have an alarm system that will sound if there is any movement in the area behind the gate. A light will also be connected to the alarm system, and when the alarm goes off, it will flash brightly to let the gatekeeper know there are intruders there.

In conclusion, the school will get a comprehensive security system from our device that will help find intruders who hide behind the gate. The device is simple to operate and will give the gatekeeper clear, in-depth pictures of any intruders who might be hiding behind the gate.

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Answer:

1 V = 1 J / C       definition of volt (unit of energy / charge)

Initial PE = 5 kV

Final KE = 5 kV      potential energy converted to kinetic energy

5 kV = 5000 J / C final KE

The cup should be placed farther from the ramp in order to accommodate marbles launched at angles above horizontal.

A marble is a tiny, spherical ball or toy made of stone, glass, or ceramic. Marbles are frequently used in games and recreational activities like marbles, where participants shoot or roll the marbles towards a target with their fingers. Marbles come in a variety of shapes, hues, and patterns, and they could be adorned with swirls or other patterns. In the past, marbles have been used for a variety of activities in numerous cultures and civilizations, such as religious rites, art, and commerce items. Today, marbles are mostly used recreationally and may keep individuals of all ages entertained for hours.

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Because the moon's orbit is tilted, we do not see eclipses every month.

Total solar eclipses happen when the moon crosses between the sun and Earth and casts its shadow onto our planet, but Earth doesn't experience a total solar eclipse every month.

Exploratorium Senior Scientist Paul Doherty explains why not—the orbit of the moon is tilted relative to the orbit of the Earth around the sun, so the moon often passes below or above Earth.

At those times, it does not cross the line between the sun and the Earth, and therefore does not create a solar eclipse. There are just two times a year in the Earth's orbit when there is a possibility of a total solar eclipse.

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Yes, conductors and equipment are protected from the impacts of potentially damaging by fuses and circuit breakers.

A circuit breaker is a type of electrical safety device used to guard against overcurrent damage to electrical circuits. Its primary purpose is to stop the flow of current in order to safeguard machinery and lower the likelihood of a fire. A circuit breaker can be reset to continue normal operation, in contrast to a fuse, which can only be used once before needing to be replaced.

There are many different sizes of circuit breakers, from tiny devices that protect low-current circuits or specific home appliances to massive switchgear built to safeguard high voltage circuits supplying an entire city.

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Potential energy is simply equal to force times the relative position of a mass.

Potential energy is defined to be the energy that is held by a mass due to its position relative to other masses, its electric charge, stresses within itself, or other factors. Since energy (work) is equal to force times displacement, both force and displacement must be linked to energy, including potential energy.

For example, a type of potential energy is gravitational potential energy, which is equal to force of gravity times the height. The height here is the relative position of the mass. (How far the mass is from h = 0 is the displacement of the mass.)

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Along a string, a sinusoidal axial wave is moving in the opposite direction of the x-axis.

A wave is an energetic perturbation in a material that doesn't include any net particle motion. Elastic deformation, a change in pressure, an electric or magnetic strength, an electric potential, or a change in temperature are a few examples. a disruption or variation that causes energy to be transferred gradually from one point to another in a medium; it can be a different from place to place or a change in pressure, external electromagnetic strength, electrostatic force, or temperature.

The pressure of soil against a wall; the application of force to a surface by an item, liquid, or., in contact with it. Physics. power.

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On increasing the mass of the yellow stone,in vertical direction balls center move away from each other and collision probability between the two balls will decrease and final velocity of yellow ball will also decrease.

A Collision happens when a strong power strikes on at least two bodies in a generally brief timeframe. Collision is a one-time event. Because of the crash, the elaborate particles' energy and force change. The crash might happen because of real actual contact between the taking part bodies, like an impact between two billiard balls or a ball and bat. There might be impacts where there is no immediate actual touch, for example, an alpha molecule slamming into a core.

Two dimensional collision(vertical collision)

The accompanying cases might emerge in the event of versatile crash between two bodies :

(1) Two-layered Versatile Crash in Research center Reference Casing

(2) Versatile crash with boundless masses in two aspects

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So, the height to which the ball was thrown is approximately 29.4 meters. To find the height to which the ball was thrown, we need to use the equation for motion under constant acceleration, which is given by:

h = vi * t + (1/2) * a * t^2

where h is the height, vi is the initial velocity (which is the upward velocity with which the ball was thrown), t is the time it took for the ball to reach its highest point, and a is the acceleration due to gravity (-9.8 m/s^2).

Since the ball was thrown upward and then came back down, it reached its highest point after half of the total time, which is 2 seconds. So, we can use 2 seconds for the value of t in the equation.

Next, we can solve for vi using the time it took for the ball to reach its highest point and the acceleration due to gravity:

vi = h / (2 * t) - (1/2) * a * t

Substituting the known values into the equation:

vi = h / (2 * 2) - (1/2) * (-9.8 m/s^2) * 2^2

vi = h / 4 + 9.8 m/s

Now, we can use the value of vi to find the height h:

h = vi * 2 - (1/2) * (-9.8 m/s^2) * 2^2

h = 2 * (h / 4 + 9.8 m/s) - (1/2) * (-9.8 m/s^2) * 2^2

h = 2 * (h / 4 + 9.8 m/s) + 9.8 m

h = (h / 2 + 19.6 m) + 9.8 m

h = h / 2 + 29.4 m

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(a) The angle between the direction of and the positive direction of x is 60⁰.

(b) The magnitude of the vector is 47.2 m.

The angle between the two vectors is calculated by applying the following formula as shown below.

θ = arc tan ( Vy / Vx )

where;

θ = arc tan ( 40.0 / 25.0 )

θ = arc tan ( 1.6 )

θ = 60⁰

The magnitude of the vector is calculated as;

V = √ ( 25² + 40² )

V = 47.2 m

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Passenger car requires 21.23 horsepower to travel at a speed of 50-mi/h on an upgrade of 5% with a smooth pavement, given its weight of 4,500-lb and cross-sectional area of 50 square-feet.

The horsepower developed by the passenger car, we need to calculate the force required to overcome the resistance of the car on the upgrade, and then use that force to calculate the power required in horsepower.

[tex]Force = Weight * Grade + Drag[/tex]

First, we calculate the force required to overcome the resistance of the car on the upgrade:

where:

Weight = 4,500 lb

Grade = 5% = 0.05

Drag = 0.5 * Air Density * Velocity^2 * Coefficient of Drag * Cross-Sectional Area

[tex]Drag = 0.5 * Air Density * Velocity^2 * Coefficient of Drag * Cross-Sectional Area[/tex]

[tex]Air Density =[/tex][tex]0.075 lb/ft^3[/tex]

[tex]Velocity = 50 mph[/tex]

[tex]Coefficient of Drag = 0.35[/tex]

[tex]Drag =[/tex][tex]0.5 * 0.075 * (50/3600)^2 * 0.35 * 50 = 8.53 lb[/tex]

[tex]Force = 4,500 * 0.05 + 8.53 = 233.53 lb[/tex]

Next, we calculate the power required in horsepower:

[tex]Power (HP) = Force * Velocity / 550[/tex]

[tex]Velocity = 50 mph[/tex]

[tex]Power (HP) = 233.53 * 50 / 550 = 21.23 HP[/tex]

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It is untrue that the day following a total lunar eclipse, one can see the moon in its first quarter phase.

Only a night with a full moon can have a lunar eclipse. However, because Planet's orbit around the sun and the moon's orbit around the earth are not in the same plane, they do not occur every full moon night. Only when the sun, the earth, and the moon align in a straight line can an eclipse occur.

Only under a full moon and when the Moon travels entirely or partially through Earth's shadow can there be a lunar eclipse.

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The electron gains 4.8 x 10^-17 J of kinetic energy when it arrives at a distance of 0.050 m from the positive plate.

The potential difference (V) between the two plates is equal to the voltage of the battery, so V = 12 V. The electric field (E) between the two plates is given by E = V/d, where d is the separation distance between the plates. So, the electric field between the plates is E = 12 V / 0.20 m = 60 N/C.

The change in potential energy of the electron as it moves from 0.10 m to 0.050 m from the negative plate can be calculated as ΔU = qΔV, where q is the charge of the electron and ΔV is the change in potential. The change in potential can be calculated as ΔV = Ed, where d is the change in the distance between the electron and the plate. So,[tex]ΔU = qE(0.10 m - 0.050 m) = qE(0.05 m).[/tex]

The change in potential energy is equal to the change in kinetic energy, so ΔK = ΔU. The final kinetic energy (Kf) of the electron can be calculated as [tex]Kf = ΔK = ΔU = qE(0.05 m) = (1.6 x 10^-19 C)(60 N/C)(0.05 m) = 4.8 x 10^-17 J[/tex].

Therefore, the electron gains [tex]4.8 x 10^-17 J[/tex] of kinetic energy when it arrives at a distance of 0.050 m from the positive plate.

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If a reddish and a bluish star have the same luminosity, then the reddish star must be larger than the bluish star. This is again due to the Stefan-Boltzmann law; since the cooler, red star must have more surface area than a hot blue star to produce the same luminosity.

Answer:

A) 1.4 × 10^-5 rev/s

Explanation:

We can use Kepler's Third Law of Planetary Motion to solve this problem. Kepler's Third Law states that the square of the period of a planet's orbit is proportional to the cube of its average distance from the star.

T^2 = k * R^3

where T is the period of the orbit and R is the mean distance of the planet from the star. k is a constant of proportionality that depends on the mass of the star.

Let's assume that the frequency of the first planet is f1 and its mean distance from the star is R1. The frequency of the second planet is 2.10 × 10^-5 rev/s and its mean distance from the star is 2R1. We can relate the frequency of the orbit to the period of the orbit as follows:

f = 1/T

Using the first equation, we can find the period of the first planet:

T1^2 = k * R1^3

And the period of the second planet:

T2^2 = k * (2R1)^3

Now, we can substitute these equations into the equation for frequency:

f1 = 1/T1 = 1/sqrt(k * R1^3)

f2 = 1/T2 = 1/sqrt(k * (2R1)^3)

Finally, we can set f1 = 2f2 and solve for f1:

2f2 = 1/sqrt(k * R1^3)

f1 = 1/sqrt(k * R1^3) / 2

So, f1 = 1.4 × 10^-5 rev/s, which is the answer (A).

The other response gave a description of the kinetic energy from flowing liquids. However, the energy or liquid at rest is not empty. the same concept as the potential energy underlying solids. Both can be converted into kinetic energy.

An object's kinetic energy is the power it has as a result of motion. It is described as the effort required to move a mass-based body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration, unless its speed changes.

The idea of kinetic energy was first proposed in 1849 by William Thompson, later known as Lord Kelvin. We now relate the idea of an object's kinetic energy with the quantity of one half of its mass multiplied by its velocity squared.

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Answer:

The work required to stop a car of 1300 kg moving at a speed of 54 km/h is 8.1 kJ. This is calculated by multiplying the car's mass (1300 kg) by its speed (54 km/h) and then by the acceleration due to gravity (9.8 m/s2). Here is a Brainly link that can provide you with more information on calculating the work needed to stop a vehicle: https://brainly.com/question/3134150.

Aristarchus believed that the sun was the center of the universe because he had found that the sun was larger than the earth and other planets and made the conclusion that other planets revolved around the sun.

Aristarchus' hypothesis was that the sun and stars did not move, that the earth revolved around the sun, while the sun remained stationary in the center of the earth's orbit.

In testing his hypothesis, Aristarchus constructed a kind of "sundial" which he probably used to measure the height of the sun and the position of the stars, as well as measure the angles and diameters of the moon as accurately as possible.

As a result, apart from the theory of the sun as the center of the solar system, Aristarchus also discovered that the earth is one of several planets revolving around the sun. Aristarchus used the theory of lunar eclipses to estimate the size of the solar system according to the radius of the earth

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The relationships between positions velocity and acceleration is  velocity function and that the indefinite integral of the velocity represents the distance function when studying the relationship between the derivative and the indefinite integral as inverse operations.

In situations requiring distance, velocity, and acceleration—each of which is a function of time—the indefinite integral is frequently used. The derivative of a distance function represents immediate velocity, while the derivative of a velocity function represents instantaneous acceleration at a specific moment, as noted in the discussion of derivative applications. Remember that the indefinite integral of the acceleration function represents the velocity function and that the indefinite integral of the velocity represents the distance function when studying the relationship between the derivative and the indefinite integral as inverse operations.

A measure of how velocity varies is acceleration. It should come as no surprise that we can determine acceleration by taking the derivative of the velocity function as velocity is a measure of how position changes. Since we can determine velocity by taking the derivative of the position function.

A curved position graph will have a changing slope, which also indicates a changing velocity. Acceleration implies a change in velocity. Therefore, a graph's curvature indicates that an object is accelerating and changing velocity or slope.

The velocity-time graph displays how quickly you moved, while the position-time graph displays how far you've come. The points on the velocity-time graph are determined by the rate of change of the position-time graph.

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The earth's radius is 6400 km. The plane must fly at a speed of approximately 464.8 km/h along the earth's equator for the sun to appear stationary to the passengers.

The speed of the plane required to make the sun appear stationary to the passengers is known as the Synchronous Orbital Speed. It can be calculated using the following formula:

V = (2 . pi . R) / T

where,

V = the orbital speed

pi = approximately equal to 3.14

R = the radius of the earth (6400 km)

T = the time it takes for the earth to complete one rotation around its axis, which is 24 hours or 86,400 seconds.

Substituting the values in the formula, we get:

V = (2 . pi . 6400 km) / 86,400 s

V = (2 . pi . 6400 km) / 86,400 s . 3600 s/h

V = (2 . pi . 6400 km) / 24 h

V = (2 . pi . 6400 km) / 24 h = 464.8 km/h

So, the plane must fly at a speed of approximately 464.8 km/h along the earth's equator for the sun to appear stationary to the passengers.

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If the radius of earth 6400 km, the plane must fly along the earth's equator so that the sun stands still relative to the passengers with velocity:

A. 1675.51 km/h

B. 1041.11 mph

C. The aircraft must fly from east to west.

The formula used to explain the relationship between speed/ velocity, distance, and time is speed distance time.

That is speed = distance /  time. Alternatively, you can calculate the time by dividing the distance traveled by the speed.

The circumference of the earth = 2[tex]\pi[/tex]r

= 2 (3.14) (6400)

= 12800[tex]\pi[/tex]km

Hence, the speed of the plane:

Speed = distance / time

=  12800[tex]\pi[/tex]km / 24 hr

= 1675.51 km/h

Convert to mph:

= 1041.11 mph

C. The plane must fly from east to west.

The question is incomplete, it should be:

How fast must a plane fly along the earth's equator so that the sun stands still relative to the passengers? Give your answer in both km/h and mph. The radius of the earth is 6400 km.

part A km/h

part B mph

Part C In which direction must the plane fly, east to west or west to east?

Express your answer using two significant figures.

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Using Ohm's Law, the voltage at the ends of the wire can then be calculated as [tex]V = I*R = (4 cells)*(0.672 Ohms) = 2.688 Volts.[/tex]

Ohm's Law states that the current through a conductor between two points is directly proportional to the potential difference or voltage across the two points, and inversely proportional to the resistance between them. In other words, the voltage across a resistor is proportional to the current flowing through it. This relationship is expressed mathematically as V=IR, where V represents the voltage, I is the current, and R is the resistance.

The voltage at the ends of the wire can be calculated using Ohm's Law, which states that voltage (V) is equal to current (I) multiplied by resistance (R). In this case, the resistance of the copper wire is determined using the formula R = (resistivity of the material)*(length of the wire)/(cross-sectional area of the wire). The resistivity of copper is [tex]1.68 x 10^-8 Ohm-meters[/tex], so the resistance is equal to [tex](1.68 x 10^-8)*(20 cm)/(0.6 x 10^-3 m^2) = 0.672 Ohms.[/tex]

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Total distance is a term that is used to refer to the length of a physical route or journey between two points.  The car will travel a total distance of 200 meters in 10 seconds.

It is usually calculated by adding up the individual distances between the starting point and each intermediate point along the route, and then adding the final distance from the last intermediate point to the destination.

Total distance can also be calculated by using a mapping or navigation system, which can provide an accurate measurement of the distance between two points.

This is because when something accelerates at 2 meters/s/s, it means that it will increase its velocity by 2 meters/second every second. Since the car starts from rest, it will have a velocity of 0 meters/second at the start.

Therefore, After 1 second, it will have a velocity of 2 meters/second, after 2 seconds it will have a velocity of 4 meters/second, after 3 seconds it will have a velocity of 6 meters/second, and so on. After 10 seconds, it will have a velocity of 20 meters/second.

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