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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.
Is a measurement of the rate of change?
Yes, a measurement of the rate of change is referred to as a derivative in calculus. It quantifies how a quantity changes in relation to another variable, typically time. In practical terms, it can represent various phenomena, such as speed (rate of change of distance) or acceleration (rate of change of velocity). Derivatives are fundamental in understanding dynamic systems across many fields, including physics, economics, and biology.
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.
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 derivative of distance with respect to time in the context of motion?
The derivative of distance with respect to time in the context of motion is the velocity of an object. It represents how fast the object is moving at a specific moment in time.
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.
What is the relationship between force and the derivative of energy?
The relationship between force and the derivative of energy is described by the principle of work and energy. The derivative of energy with respect to distance is equal to the force acting on an object. This relationship helps to understand how forces affect the energy of a system.
What is the rate of change of velocity with distance?
acceleration/decceleration it is the second derivative of a displacement vs time function
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.
Is a measurement of the rate of change?
Yes, a measurement of the rate of change is referred to as a derivative in calculus. It quantifies how a quantity changes in relation to another variable, typically time. In practical terms, it can represent various phenomena, such as speed (rate of change of distance) or acceleration (rate of change of velocity). Derivatives are fundamental in understanding dynamic systems across many fields, including physics, economics, and biology.
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 application of a force over some distance?
Work.
