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Snap, [6] or jounce, [2] is the fourth derivative of the position vector with respect to time, or the rate of change of the jerk with respect to time. [4] Equivalently, it is the second derivative of acceleration or the third derivative of velocity, and is defined by any of the following equivalent expressions: = ȷ = = =.
Further time derivatives have also been named, as snap or jounce (fourth derivative), crackle (fifth derivative), and pop (sixth derivative). [12] [13] The seventh derivative is known as "Bang," as it is a logical continuation to the cycle. The eighth derivative has been referred to as "Boom," and the 9th is known as "Crash."
Many other fundamental quantities in science are time derivatives of one another: force is the time derivative of momentum; power is the time derivative of energy; electric current is the time derivative of electric charge; and so on. A common occurrence in physics is the time derivative of a vector, such as velocity or displacement. In dealing ...
where ξ α = x 2 α − x 1 α is the separation vector between two geodesics, D / ds (not just d / ds ) is the covariant derivative, and R α βγδ is the Riemann curvature tensor, containing the Christoffel symbols. In other words, the geodesic deviation equation is the equation of motion for masses in curved spacetime ...
Since the velocity of the object is the derivative of the position graph, the area under the line in the velocity vs. time graph is the displacement of the object. (Velocity is on the y-axis and time on the x-axis. Multiplying the velocity by the time, the time cancels out, and only displacement remains.)
The woman accused of stabbing a postal worker to death over a spot in line at a Harlem deli has a long history of knife violence — and once threatened “to cut” one of her previous victims.
The U.S. Marshals Service in the District of Nevada issued a plea for help and additional reward money to find a man wanted for killing his girlfriend during an argument a year and a half ago in ...
NEW YORK -- The man accused of setting a woman on fire on a New York City subway car just before Christmas entered a not guilty plea on Tuesday morning.. Sebastian Zapeta, 33, was indicted last ...