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Relate distance velocity acceleration using derivatives with respect to time?
Wiki User
∙ 8y ago
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. . :)
Wiki User
∙ 8y ago
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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.
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
What is the formula for solving acceleration?
acceleration = twice the distance over time, or the derivative of velocity with respect to time
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
How does acceleration relate to velocity and time?
rate of change of velocity with respect to time is the acceleration.
What can Acceleration be found by?
Acceleration can be found by taking the derivative of a function for velocity, as acceleration is the change in velocity with respect to time.
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.
What is the theory of acceleration?
acceleration is the rate of change of velocity with respect to time.
What is the objets acceleration?
acceleration of a body is the rate of change of velocity with respect to time.
What is instentaneous acceleration?
instantaneous acceleration is the instantaneous change of velocity with respect to time.
What is the meaning if acceleration?
acceleration is the rate of change of velocity of an object with respect to time.
Acceleration is the rate at which happens?
acceleration is the rate of change of velocity with respect to time.
