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Velocity is derived from position - it is defined as the rate of change of position. In symbols:

v = ds/dt

Where v = velocity, s = position, and t = time. For the case of constant velocity, this can also be written as:

v = (difference in position) / (time elapsed)

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What is the equation shows how wavelength is related to velocity and frequency?

The equation that shows how wavelength is related to velocity and frequency is: wavelength = velocity / frequency. This equation is derived from the wave equation, which states that the speed of a wave is equal to its frequency multiplied by its wavelength.


How is the escape velocity equation derived?

The escape velocity equation is derived by setting the kinetic energy of an object equal to the gravitational potential energy at the surface of a planet. By equating these two energies, we can solve for the velocity needed for an object to escape the planet's gravitational pull. The equation is derived using principles of energy conservation and Newton's laws of motion.


Which equation shows how velocity is relateddy to frequency and wavelength?

The equation that relates velocity, frequency, and wavelength is v = f x λ, where v is the velocity of the wave, f is the frequency, and λ is the wavelength. This equation is derived from the basic wave equation v = λ/T, where T is the period of the wave and T = 1/f.


What is the 4th equation of motion?

The 4th equation of motion is an equation that relates displacement (s), initial velocity (u), final velocity (v), acceleration (a), and time (t). It is expressed as: s = ut + 0.5at^2. This equation is derived from the others in classical physics to describe the motion of an object under constant acceleration.


What does initial velocity squared plus 2 times acceleration times distance equal?

This equation represents the final velocity squared when an object is accelerating from an initial velocity over a certain distance. It is derived from the kinematic equation (v^2 = u^2 + 2as), where (v) is the final velocity, (u) is the initial velocity, (a) is the acceleration, and (s) is the distance traveled.

Related Questions

What is the equation shows how wavelength is related to velocity and frequency?

The equation that shows how wavelength is related to velocity and frequency is: wavelength = velocity / frequency. This equation is derived from the wave equation, which states that the speed of a wave is equal to its frequency multiplied by its wavelength.


How is the escape velocity equation derived?

The escape velocity equation is derived by setting the kinetic energy of an object equal to the gravitational potential energy at the surface of a planet. By equating these two energies, we can solve for the velocity needed for an object to escape the planet's gravitational pull. The equation is derived using principles of energy conservation and Newton's laws of motion.


Which equation shows how velocity is relateddy to frequency and wavelength?

The equation that relates velocity, frequency, and wavelength is v = f x λ, where v is the velocity of the wave, f is the frequency, and λ is the wavelength. This equation is derived from the basic wave equation v = λ/T, where T is the period of the wave and T = 1/f.


What is the 4th equation of motion?

The 4th equation of motion is an equation that relates displacement (s), initial velocity (u), final velocity (v), acceleration (a), and time (t). It is expressed as: s = ut + 0.5at^2. This equation is derived from the others in classical physics to describe the motion of an object under constant acceleration.


What is the differentiation and integration?

In Calculus, differentiation is when you apply the theorems to get the derived equation at a given rate, for example you have the velocity function and if you take its derivative, it will give you an acceleration function related to its velocity. Derivatives are often denoted as f'(x) or y'. Integration on the other hand is undoing differentiation. for ex, if you integrate acceleration equation, it will give you a velocity equation.


What does initial velocity squared plus 2 times acceleration times distance equal?

This equation represents the final velocity squared when an object is accelerating from an initial velocity over a certain distance. It is derived from the kinematic equation (v^2 = u^2 + 2as), where (v) is the final velocity, (u) is the initial velocity, (a) is the acceleration, and (s) is the distance traveled.


How do you derive the 3rd equation of motion?

The third equation of motion can be derived by integrating the equation of acceleration with respect to time. Starting with ( a = dv/dt ), integrating both sides with respect to time will give ( v = u + at ), where ( v ) is the final velocity, ( u ) is the initial velocity, ( a ) is the acceleration, and ( t ) is the time taken.


Is the unit of speed a basic unit or a derived unit?

It is a derived unit. It measure distance traveled per unit of time. For example meter per second or m/s. Speed or velocity as it is sometimes called is derived from the units for distance and time.


Is velocity a derived unit?

No, velocity is not a derived unit. It is a fundamental physical quantity that measures the rate of change of an object's position with respect to time. Velocity is derived from the fundamental units of length and time.


What are 4 derived quantities?

Some examples of derived quantities are velocity (which is derived from distance and time), acceleration (derived from velocity and time), density (derived from mass and volume), and pressure (derived from force and area).


What is vi equals vf-at?

Yes recalling the first equation of motion ie Vf = Vi + at Here Vf is final velocity and Vi is the initial velocity. a the acceleration and t is the time Now taking at on the other side ie left side we get Vf - at = Vi This is what mentioned here.


What is the derivation of the equation mm0/ sqrt(1-v2/c2)?

The equation mm0/ sqrt(1-v2/c2) is derived from Einstein's theory of special relativity. It describes how an object's mass (m) changes with its velocity (v) relative to the speed of light (c). The equation shows that as an object's velocity approaches the speed of light, its mass increases.

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