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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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What is instantaneous velocity in math?
if under uniform acceleration or deceleration v = u + (a*t) where: v = instantaneous velocity u = initial velocity a = acceleration (negative if decelerating) t = time elapsed
When average velocity is equal to its instantaneous velocity acceleration?
you are still. motion is at rest.
What is the difference between Average Speed and Instantaneous Speed?
Suppose you accelerate in your car from stopped to 50 km.hr-1. When you were stopped your instantaneous speed was zero. At the end of the period of acceleration your instantaneous speed was 50 km.hr-1. If your rate of acceleration was constant then your average speed was 25 km.hr-1.
What is the relation of gravity with calculus?
Gravity is a force, which means that it has a corresponding acceleration (rate of rate of change). Because calculus is the study of rates of change, accelerations are studied in calculus.
What is the application for vector calculus?
Measures of motion (displacement, velocity, acceleration) and forces are all vectors so any study involving these would require vector calculus.
What is the instantaneous acceleration of the particle at?
To find the instantaneous acceleration of a particle, you would need to know the rate of change of its velocity at that specific moment in time. This can be calculated using calculus by taking the derivative of the velocity function with respect to time. The instantaneous acceleration provides information about how the velocity of the particle is changing at that precise instant.
How is instantaneous acceleration related to a velocity-time graph?
Instantaneous acceleration at any point on a velocity-time graph can be determined by calculating the slope of the tangent line at that specific point. A steeper slope represents a higher acceleration, while a shallower slope indicates a lower acceleration.
What will be instantaneous acceleration if average acceleration is zero?
If the average acceleration is zero, it means that the object's velocity is not changing over time. Since instantaneous acceleration is the acceleration at a specific moment in time, it can still have a non-zero value depending on the instantaneous velocity of the object at that moment.
Find the instantaneous angular acceleration t5.0 with the instantaneous velocity of 6.0 rads t?
To find the instantaneous angular acceleration, you need to know the time rate of change of the instantaneous angular velocity. Without this information, you cannot calculate the instantaneous angular acceleration at t=5.0s.
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).
What is the difference between average acceleration and instantaneous acceleration?
Average acceleration is the change in velocity over a specific time interval, while instantaneous acceleration is the acceleration at a specific moment in time. Average acceleration gives an overall picture of how velocity changes over time, while instantaneous acceleration gives the acceleration at a precise point in time.
Are instantaneous velocity and acceleration the same?
no.
Is average acceleration equal to instantaneous acceleration for a uniformly accelerated car?
No, average acceleration is the overall change in velocity over a specific time interval, whereas instantaneous acceleration is the acceleration at a specific moment in time. For a uniformly accelerated car, the average acceleration is constant over the entire interval, but the instantaneous acceleration can vary at different points during that interval.
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
When is instantaneous acceleration and average acceleration the same?
Instantaneous acceleration and average acceleration are the same when an object's acceleration is constant over the entire time interval being considered. This means that the object's velocity is changing at a constant rate, resulting in both the instantaneous and average accelerations being equal.
What is instentaneous acceleration?
Instantaneous acceleration is the rate of change of velocity at a specific moment in time. It indicates how quickly the velocity of an object is changing at that instant. It is typically calculated as the derivative of velocity with respect to time.
What is the direction of instantaneous acceleration?
The direction of instantaneous acceleration is in the direction of the change in velocity at that moment. If the velocity is increasing, the acceleration is in the same direction as the velocity. If the velocity is decreasing, the acceleration is in the opposite direction of the velocity.
