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If v is the velocity, then it is dv/dt.
If we start with v= dx/dt as the instantaneous change in position, then it is d2x/d t2

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Q: In calculus what is the instantaneous acceleration?
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How is instantaneous acceleration related to a velocity-time graph?

Acceleration is the derivative of velocity (a=dv/dt). If you are not familiar with calculus then it would be sufficient to say that the slope of the line tangent to the graph, only touches at one point, is equal to the instantaneous acceleration.


What is instentaneous acceleration?

instantaneous acceleration is the instantaneous change of velocity with respect to time.


What is formula for aceleration?

There are, of course, several formulae that involve acceleration. The basic definition of acceleration is: acceleration = delta velocity / delta time, that is, to get average acceleration, divide the difference of velocity by the time that passed. The same formula also gives you the instant acceleration, if the acceleration is constant. If you want to get instantaneous acceleration, and the acceleration changes, then you need calculus: acceleration = dv / dt (that is, take the derivative of the velocity).


Derive the equation for instantaneous average acceleration vector?

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.


What is the difference between average acceleration and instantaneous acceleration?

Average acceleration is the average of the accelerations acquired in the whole journey by a body while instantaneous acceleration is the acceleration of the body at any particular instant of time.


Are instantaneous velocity and acceleration the same?

no.


What does the slope of the instantaneous speed-vs-time graph represented?

Instantaneous acceleration.


Is average acceleration equal to instantaneous acceleration for a uniformly accelerated car?

Average acceleration will be equal to instantaneous acceleration when an object has an uniform acceleration throughout its motion. Example : A car accelerating at 1m/s2 uniformly in a straight line.


What are the following terms-angular acceleration-centripetal acceleration-instantaneous acceleration-ballistic pendulum-angle of deviation-therionic emission of light-first law of thermodynamic?

instantaneous acceleration is the acceleration at one point. yeah, it's true


Define speed at which an object is moving at a given instant time?

If the displacement of the object (its position) can be described as a functional or algebric equation, you can find the instant speed of this object by calculating the derivative of its displacement equation, knowing that speed is the first derivative of position and acceleration, its second.


Find the instantaneous angular acceleration t5.0 with the instantaneous velocity of 6.0 rads t?

There is insufficient information to answer the question.


What is the importance of uniform acceleration graph in physics what is instantaneous velocity?

The slope of a velocity-time graph that shows uniform acceleration is the actual acceleration. Instantaneous velocity is the velocity of a body at a particular moment in time.