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What is the derivative of speed and how is it calculated?
The derivative of speed is acceleration, which measures how quickly an object's velocity is changing. It is calculated by finding the rate of change of velocity with respect to time. Mathematically, acceleration is the second derivative of position with respect to time.
How do you get the second derivative of potential energy?
The same way you get the second derivative from any function. Assuming you have a function that expresses potential energy as a function of time, or perhaps as a function of position, you take the derivate of this function. This will give you another function. Then, you take the derivate of this derivative, to get the second derivative.
What are derivatives for displaces?
Derivatives for displacement refer to the rate of change of an object's position with respect to time. It can be calculated by finding the first derivative of the position function. The first derivative of displacement gives the object's velocity, while the second derivative gives the acceleration.
What is an objects speed at at particular moment in time is called?
The speed of an object at a particular moment in time is called instantaneous speed. It is the rate at which an object is moving at an individual point in time.
When Jennifer is out for a ride she slowns down on her bike as she approaches a group of hikers on a trail explain how her acceleration can be positive even though her speed is decreasing?
Hum, it cannot. As acceleration is the first derivative of the speed, if the speed is constant the derivative is null, if the speed is decreasing the derivative is negative. When talking about all this stuff we take into account the instantaneous values (instant speed, instant acceleration). Note that when you slow down, you slow down overall but can locally in time accelerate a little bit, let's say during 1/10th of a sec because you reached a partion of the road which was sloping. However this does not change the fact that when the speed decrease, the acceleration is negative.
What is the scientific definition for speed?
First derivative of distance with respect to time.
What is the derivative of speed and how is it calculated?
The derivative of speed is acceleration, which measures how quickly an object's velocity is changing. It is calculated by finding the rate of change of velocity with respect to time. Mathematically, acceleration is the second derivative of position with respect to time.
Define Change in speed?
change in speed is acceleration. change in speed is the slope of the speed versus time graph, or the derivative of such.
How do you find second derivative of a function?
All it means to take the second derivative is to take the derivative of a function twice. For example, say you start with the function y=x2+2x The first derivative would be 2x+2 But when you take the derivative the first derivative you get the second derivative which would be 2
What is the derivative of x to the second power?
2x is the first derivative of x2.
Does The second derivative represent the rate of change of the first derivative?
Yes.
What is the derivative of x to the second powerr?
2x is the first derivative of x2.
How do you find the second derivative?
Afetr you take the first derivative you take it again Example y = x^2 dy/dx = 2x ( first derivative) d2y/dx2 = 2 ( second derivative)
What is the second derivative of a function's indefinite integral?
well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.
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 geometrical meaning of second derivative?
The first derivative is the rate of change, and the second derivative is the rate of change of the rate of change.
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
