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Jerk is the derivative of acceleration.
Since jerk is defined as the derivative (the rate of change) of acceleration, in the case of the area under the curve, it is the other way round: the integral (area under the curve) for jerk is the acceleration.
We call "jerk" the third order derivative of position with respect to time, that is, the variation of acceleration. Some say that the derivative of jerk with respect to time (the fourth derivative of position with repsect to time) is called "jounce" or "snap".
There is no specific formula. The "jerk" refers to the third derivative of a function, specifically a position versus time function in physics. The jerk function describes how the acceleration changes over time.
First derivative of displacement with respect to time = velocity. Second derivative of displacement with respect to time = acceleration. Third derivative of displacement with respect to time = jerk.
in case of derivative w.r.t time first derivative with a variable x gives velocity second derivative gives acceleration thid derivative gives jerk
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').
Explain the derivative functions of money?
velocity is the first derivative of motion, with acceleration being the second; if an object has a constant velocity, then it's acceleration is 0. This is easy to see from everyday life, when you are in a car, you only feel it jerk when you are accelerating but once you've reached your speed you feel nothing.
Acceleration
Speed is scalar (it doesn't have direction), and the magnitude of velocity (a vector). The first derivative of velocity is acceleration, therefore the first derivative of speed is the magnitude of acceleration.
The slope is the acceleration. Acceleration is the time derivative of velocity.