Physics

# Derive the equation for instantaneous average acceleration vector?

###### Wiki User

You have a contradiction in your question. Instantaneous acceleration is the acceleration at a certain moment in time. Average acceleration is the average over a time interval.

🙏🏿
0
🤨
0
😮
0
😂
0

## Related Questions

### Derive the equation for average value of DC?

The equation for the average over time T is integral 0 to T of I.dt

### How do you derive the equations of motion given constant acceleration using calculus?

To derive the kinematic equations of motion in one dimension with a given acceration 'a(t)', one begins with the definition of acceleration: the change in velocity per unit time.average acceleration = the change in velocity/time elapsedAcceleration, technically instantaneous acceleration, is the average acceleration over a very small interval of the velocity/time function. Instantaneous acceleration (hereafter referred to simply as 'acceleration' or 'a') is then, by extensiona = limitt-->0(instantaneous velocity1 - instantaneous velocity2)/twhich is the definition of the derivitive of instantaneous velocity ('v') with respect to time ('t'). Thus we have:a= dv/dtbecause velocity is itself change in position ('x') we can similarly derivev= dx/dtanda= d2x/dt2By the fundamental theorem of calculus:v= integral(a)dt +Cx=integral(v)dt +Cin order to eliminate the arbitrary constant C, we use initial conditions:v0=v(0), a0=a(0), etc.any function representing the motion of real quantities according to the principles of classical mechanics has the value 0 for all integrals taken from an arbitrary point b to the same point b, where b is within its domain. Thus:v(0)= 0 +Cv0=Cand so for all of the other quantities. Thus we yield:v= v0 + integral(a)dtx= x0 + integral(v)dtin the special case of constant acceleration, we can take those integrals:integral(a)dt= atintegral(v)dt= integral(v0+at)= v0t + at2/2so our final formulae are:v(t)=v0+at&Icirc;&rdquo;x(t)=v0t+at2/2

### What is the meaning of Biot-Savar's equation?

1) What is the definition of dielectric permittivity on the basis of Maxwell equations? 2) What is Poisson equation of Electrostatics? Derive the Poisson equation from Maxwell equations. 3) Write the Biot-Savar equation. What is the meaning? 4) Derive a wave equation of a plain electromagnetic wave from Maxwell equation.

### When an object and acceleration is zero at some instant t in time its velocity is?

You can't derive the velocity from the acceleration. Zero acceleration simply means that the velocity (at that instant) is not changing.

### What is general gas equation and derive it?

General gas Equation is PV=nRT According to Boyls law V

### Derive the first equation of motion?

let a Body moving with initial velocity 'u' changes its velocity to 'v' in time 't' then , acceleration 'a' = (v-u)/t =&gt; a * t = v - u =&gt; a * t + u = v =&gt; v = u + a * t

### What is amplitude modulation derive expression for am wave and modulation index?

the maximum amplitude of carrier wave varied with respect to instantaneous values of message signal is called amplitude modulation

### How does the acceleration of an object change in relation to its mass?

From Newton's Second Law, you can derive a = F/m. Since the mass is in the denominator, that means that - for the same force - more mass means less acceleration.

### Derive equation between angular and linear acceleration?

Since angular acceleration is in radians per second squared, which is change in angular speed over time, we know that &alpha;=&omega;/t, where &alpha; is angular acceleration, &omega; is angular speed, and t is time (assuming &alpha; is constant.)&omega; is measured in radians per second. If me multiply &omega; by r, which is the radius of the circle the object is acceleration around, we get &omega;r, which has units of (radians*radius)/second. Since the angle in radians times the radius gives the distance, these units are equivalent to meters/second, so &omega;r = v.Therefore, &alpha;=(v/r)/t=v/rt.Acceleration (a) is v/t, so &alpha;=(v/t)(1/r)=a/r.The equation would then be:&alpha;=a/r, or a=r&alpha; (Where &alpha; is angular acceleration, a is acceleration, and r is the radius.)

### What is the law of acceleration all about?

The law in question, Newton's second law, is first introduced to students as an equation between variables which are very intuitive for the average person: F = m*a, Force = mass * acceleration Which is basically saying, if a massive object changes its motion, a force had to have been applied...duh right? The amazing thing, is, that by mathematically defining these obvious statements, you soon are able to derive rules for energy, and you soon realize that from the inception of the universe too this exact time and place, the overall value of the energy in the universe has stayed exactly the same. From there, you are able to derive the entire theoretical basis of physics, and it would have never happened without F = m*a

### What is the solution to this system of equation x minus y 3x plus 2y equals 8?

There is only one equation - possibly due to the limitations of the browser. There are not enough equations to derive a solution.

### How is enthalpy defined?

describe enthalpy?derive the expression of equation change in heat=change in internal energy+pressure change in volume

If you know how to complete the square, this link will finish the job for you. http://www.mathsisfun.com/algebra/quadratic-equation-derivation.html

### Is it easier to solve an equation for y first before finding points?

It is always easier to use an equation to find points since all you would have to do is substitute values into the equation to find the final unknown value that will tell the point. To get the equation, however, you would usually need to have some points at the start to help derive the equation in the end.

### What is the equation for pendulums?

The most accurate way to model a pendulum (without air resistance) is as a differential equation in terms of the angle it makes with the vertical, &theta;, the length of the pendulum, l, and the acceleration due to gravity, g. d&sup2;&theta;/dt&sup2; = -g*sin(&theta;)/l There is no easy way to integrate this to get &theta; as a function of time, but if you assume &theta; is small, you can use the small angle approximation sin(&theta;)~&theta; which makes the equation d&sup2;&theta;/dt&sup2; = -g*&theta;/l Which can then be integrated to get the solution &theta;(t)=&theta;max*sin(t*&radic;(g/l)) Using this equation, you can easily derive that the period of the pendulum (time required to go through one full cycle) would be T=2&pi;*&radic;(l/g) If air resistance is also accounted for in the original differential equation, the exact equation will be much harder to derive, but in general will involve an exponential decay of a sin function.

### How is acceleration affected by the mass of a body?

F=M(A), you can simply derive a formula by solving for A. So devide F by M and you get A=F/M. Then you can ask yourself, if when you increase of decrease mass what will happen to acceleration. assuming the unbalanced force is constant. soo when mass increases acceleration decreases. and when you take away mass from a body, then you can say that acceleration increases. You must assume that the force is constant. :D

### How do you calculate a newton?

A Newton is a unit of force, so you could use F = m * a. Measure the acceleration of an object and weights it's mass; you can then derive the force in Newton.

## Still have questions?

Trending Questions
Do potatoes have genders? Asked By Wiki User
Why is Vanna White so skinny? Asked By Wiki User
How many 20 go into 200? Asked By Wiki User
What times what equals 6? Asked By Wiki User