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  2. 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 = = =.

  3. Bouncing ball - Wikipedia

    en.wikipedia.org/wiki/Bouncing_ball

    The motion of a bouncing ball obeys projectile motion. [2] [3] Many forces act on a real ball, namely the gravitational force (F G), the drag force due to air resistance (F D), the Magnus force due to the ball's spin (F M), and the buoyant force (F B). In general, one has to use Newton's second law taking all forces into account to analyze the ...

  4. Equations for a falling body - Wikipedia

    en.wikipedia.org/wiki/Equations_for_a_falling_body

    During the first 0.05 s the ball drops one unit of distance (about 12 mm), by 0.10 s it has dropped at total of 4 units, by 0.15 s 9 units, and so on. Near the surface of the Earth, the acceleration due to gravity g = 9.807 m/s 2 ( metres per second squared , which might be thought of as "metres per second, per second"; or 32.18 ft/s 2 as "feet ...

  5. Projectile motion - Wikipedia

    en.wikipedia.org/wiki/Projectile_motion

    2.4 Relation between horizontal range and maximum height. 2.5 Maximum distance of projectile. ... This article needs attention from an expert in Physics.

  6. Range of a projectile - Wikipedia

    en.wikipedia.org/wiki/Range_of_a_projectile

    d is the total horizontal distance travelled by the projectile. v is the velocity at which the projectile is launched; g is the gravitational acceleration—usually taken to be 9.81 m/s 2 (32 f/s 2) near the Earth's surface; θ is the angle at which the projectile is launched; y 0 is the initial height of the projectile

  7. Equations of motion - Wikipedia

    en.wikipedia.org/wiki/Equations_of_motion

    There are two main descriptions of motion: dynamics and kinematics.Dynamics is general, since the momenta, forces and energy of the particles are taken into account. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations.

  8. Newton's laws of motion - Wikipedia

    en.wikipedia.org/wiki/Newton's_laws_of_motion

    Newton's laws are often stated in terms of point or particle masses, that is, bodies whose volume is negligible. This is a reasonable approximation for real bodies when the motion of internal parts can be neglected, and when the separation between bodies is much larger than the size of each.

  9. Three-body problem - Wikipedia

    en.wikipedia.org/wiki/Three-body_problem

    In the special case of the circular restricted three-body problem, these solutions, viewed in a frame rotating with the primaries, become points called Lagrangian points and labeled L 1, L 2, L 3, L 4, and L 5, with L 4 and L 5 being symmetric instances of Lagrange's solution.