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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?
Wiki User
∙ 14y ago
in case of derivative w.r.t time
first derivative with a variable x gives velocity
second derivative gives acceleration
thid derivative gives jerk
Wiki User
∙ 14y ago
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Relate distance velocity acceleration using derivatives with respect to time?
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. . :)
What is the purpose of the 2rd and third derivatives in Calculus?
1st derivative is the rate of change. If, for example, you start driving your car from home, and x is a measure of distance from your home , then d/dx is your speed. In that same example, the 2nd derivative would be your acceleration (change of speed). And the 3rd derivative would be your change in acceleration (also known as 'jerk').
How do you fing the speed in Algebra?
Average Speed = Total Distance/Total Time.Instantaneous Speed = Derivative of Distance with respect to Time.
What is the every-day use of a derivative?
To find the rate of change. Velocity, for example, is the rate of change of distance - in a specified direction. Acceleration is the rate of change of velocity.
What is differentiation?
Using different instruction methods and learning activities to teach a concept. Ideas may be using flash cards to learn vocabulary, using a deck of playing cards to call on students to answer questions, using internet web sites as an instructional aid, etc.
Relate distance velocity acceleration using derivatives with respect to time?
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. . :)
What is the purpose of the 2rd and third derivatives in Calculus?
1st derivative is the rate of change. If, for example, you start driving your car from home, and x is a measure of distance from your home , then d/dx is your speed. In that same example, the 2nd derivative would be your acceleration (change of speed). And the 3rd derivative would be your change in acceleration (also known as 'jerk').
What is the scientific definition for speed?
First derivative of distance with respect to time.
How do you fing the speed in Algebra?
Average Speed = Total Distance/Total Time.Instantaneous Speed = Derivative of Distance with respect to Time.
How do you find the acceleration and initial velocity given only the distance and time?
If you are only given total distance and total time you cannot. If you are given distance as a function of time, then the first derivative of distance with respect to time, ds/dt, gives the velocity. Evaluate this function at t = 0 for initial velocity. The second derivative, d2s/dt2 gives the acceleration as a function of time.
What is the rate of change of velocity with distance?
acceleration/decceleration it is the second derivative of a displacement vs time function
What is the application of a force over some distance?
Work.
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 a speed?
Basically "speed" tells you how fast something moves. It is defined as a distance divided by a time (more precisely, in the case of variable speed, the derivative of distance 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.
How are motion and acceleration different?
In Simple motion, there is no force being applied. The moving object moves in a straight line with constant velocity. In acceleration, there is a force applied. The object's velocity is changing. The first derivative of acceleration is velocity. The first derivative of velocity is distance. (Derivative is a calculus thing.)
What is the distance from the fulcrum to the point of application of the effort force?
The distance from the fulcrum to the point of application of the effort force is known as the effort arm. It determines the mechanical advantage of a lever system, with longer effort arms providing greater leverage.
