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I'm not sure about the respect to time, but the equation for velocity is the first derivative of the equation of time (w/ respect to distance) and acceleration is the second derivative. I'm sorry, I don't think I properly answered your question, but this information should be correct. . :)
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What is the physical application of third- and fourth-order derivatives with respect to distance e g first derivative is slope?
in case of derivative w.r.t time first derivative with a variable x gives velocity second derivative gives acceleration thid derivative gives jerk
What is the formula of velocity?
There are several definitions. not just one. Average velocity in a direction = Average displacement (distance) in that direction/time Instantaneous velocity in a direction = derivative of displacement in that direction with respect to time Average velocity in a direction = Initial velocity in that direction + Average acceleration in that direction * time Instantaneous velocity in a direction = Definite integral of acceleration in that direction with respect to time, with initial velocity at t = 0 Then there are others in which time is eliminated.
What do acceleration measures?
rate of change of velocity with respect to time.
What is the scientific meaning of acceleration?
Definition: Acceleration is the rate of change of velocity as a function of time. It is vector. In calculus terms, acceleration is the second derivative of position with respect to time or, alternately, the first derivative of the velocity with respect to time.
How do you find components of the velocity with a given force acceleration and time?
You do not need force. Velocity is the integral of acceleration with respect to time. The orthogonal components of acceleration can be integrated independently to give the orthogonal components of velocity.
What is the relationship between acceleration velocity time and distance?
Velocity is the derivative of position with respect to time (v = dx/dt). Acceleration is the derivative of velocity with respect to time (a = dv/dt) and therefore the second derivative of position with respect to time (a = d2v/dt2). A derivative basically refers to the "rate of change" - graphically, it is the slope on a curve.
Is it possible for an object to have an increasing velocity and an increasing acceleration?
If your acceleration is increasing then by default your velocity has to increase. Acceleration = velocity/time so if acceleration is increasing the velocity is also increasing... And just for fun, just as the change in distance is velocity, and change in velocity is acceleration with respect to time, the change in acceleration with respect to Time is called a jerk
Velocity and Acceleration?
velocity is the rate of change of displacement with respect to time where as acceleration is the rate of change of velocity with respect o tome.
What is acceleration of a particle if position of a particle at any instant of time t is given by x equals t 3?
velocity is 1st derivative of distance with respect to time acceleration is 2nd derivative of distance with respect to time dx/dt = velocity = 3t^2 dv/dt = acceleration = 6t
What is the formula for solving acceleration?
The formula for acceleration is acceleration (a) = change in velocity (Δv) / time taken (Δt). This means that acceleration can be calculated by dividing the change in velocity by the time taken for that change to occur.
What is the difference between Velocity and Acceleration of an object?
Velocity is the rate of change of an object's position with respect to time, including its speed and direction. Acceleration, on the other hand, is the rate of change of an object's velocity with respect to time, indicating how quickly the object's velocity is changing. Acceleration may result from changes in speed, direction, or both.
What do acceloration and velocity have in common?
Acceleration and velocity are both related to the motion of an object. Velocity is the rate of change of an object's position with respect to time, while acceleration is the rate of change of an object's velocity with respect to time. In other words, acceleration is the derivative of velocity with respect to time.
Is velocity the same as acceleration?
No, velocity and acceleration are not the same. Velocity is the rate of change of an object's position with respect to time, while acceleration is the rate of change of an object's velocity with respect to time. In other words, acceleration measures how quickly an object's velocity is changing.
Are velocity and acceleration related?
Yes, velocity and acceleration are related. Acceleration is the rate of change of velocity with respect to time. This means that acceleration describes how the velocity of an object is changing.
What is the acceleration of?
There is no force of acceleration. Acceleration is the rate at which velocity changes over time. A net force causes acceleration.
The change in velocity in a particular time?
The change in velocity in a particular time interval is known as acceleration. It is calculated as the rate of change of velocity with respect to time, and can be positive (speeding up), negative (slowing down), or zero (constant velocity). Acceleration is measured in units of distance per time squared (e.g. meters per second squared).
What can Acceleration be found by?
Acceleration can be found by dividing the change in velocity by the time taken for that change to occur. It is a measure of how quickly the velocity of an object is changing over time. Mathematically, acceleration can be calculated as the derivative of velocity with respect to time.
