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  2. Equations for a falling body - Wikipedia

    en.wikipedia.org/wiki/Equations_for_a_falling_body

    In this case, the terminal velocity increases to about 320 km/h (200 mph or 90 m/s), [citation needed] which is almost the terminal velocity of the peregrine falcon diving down on its prey. [4] The same terminal velocity is reached for a typical .30-06 bullet dropping downwards—when it is returning to earth having been fired upwards, or ...

  3. Torricelli's equation - Wikipedia

    en.wikipedia.org/wiki/Torricelli's_equation

    In physics, Torricelli's equation, or Torricelli's formula, is an equation created by Evangelista Torricelli to find the final velocity of a moving object with constant acceleration along an axis (for example, the x axis) without having a known time interval. The equation itself is: [1] = + where

  4. Equations of motion - Wikipedia

    en.wikipedia.org/wiki/Equations_of_motion

    Given initial velocity u, one can calculate how high the ball will travel before it begins to fall. The acceleration is local acceleration of gravity g . While these quantities appear to be scalars , the direction of displacement, speed and acceleration is important.

  5. Fourth, fifth, and sixth derivatives of position - Wikipedia

    en.wikipedia.org/wiki/Fourth,_fifth,_and_sixth...

    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 = = =.

  6. Terminal velocity - Wikipedia

    en.wikipedia.org/wiki/Terminal_velocity

    Settling velocity W s of a sand grain (diameter d, density 2650 kg/m 3) in water at 20 °C, computed with the formula of Soulsby (1997). When the buoyancy effects are taken into account, an object falling through a fluid under its own weight can reach a terminal velocity (settling velocity) if the net force acting on the object becomes zero.

  7. Torricelli's law - Wikipedia

    en.wikipedia.org/wiki/Torricelli's_law

    Actually this is confirmed by state-of-the-art experiments (see [3]) in which the discharge, the outflow velocity and the cross-section of the vena contracta were measured. Here it was also shown that the outflow velocity is predicted extremely well by Torricelli's law and that no velocity correction (like a "coefficient of velocity") is needed.

  8. Displacement (geometry) - Wikipedia

    en.wikipedia.org/wiki/Displacement_(geometry)

    In geometry and mechanics, a displacement is a vector whose length is the shortest distance from the initial to the final position of a point P undergoing motion. [1] It quantifies both the distance and direction of the net or total motion along a straight line from the initial position to the final position of the point trajectory.

  9. Projectile motion - Wikipedia

    en.wikipedia.org/wiki/Projectile_motion

    Here, , and will be used to denote the initial velocity, the velocity along the direction of x and the velocity along the direction of y, respectively. The mass of the projectile will be denoted by m , and μ := k / m {\displaystyle \mu :=k/m} .