In classical physics, we have the Newton equation for a particle F = dp/dt,
where F is force and p the linear momentum (p = m dr/dt). Assuming that mass m is constant, we can rewrite the N. eq. as F = m d2r/dt2.
Knowing F on the particle, the study of motions consists in the integration of the Newton's second order differential equation, obtaining
r = r(t), called motion equation, that describes the position of the particle in function of the time: to study the motion of the particles means to find this r(t). (Note that, in the integration of N. eq., two constants appear: you can calculate them by imposing the boundary conditions, e.g. r(0) and dr(0)/dt). For example, you may study the motion of a particle with F = gmx, being g a constant and x a versor. It's g = d2x/dt2 → ∫g dt = ∫d2x/dt2 dt → gt - gt0 = dx(t)/dt - dx(0)/dt; if t0 = 0 and dx(0)/dt = v0, it's dx(t)/dt = v0 + gt → ∫dx/dt dt = ∫v0 + gt → x(t) - x(0) = v0t + gt2/2;
if x(0) = x0, we have the motion equation of the particle: x(t) = x0 + v0t + gt2/2.
If there are N particles, you will have to solve a N. eq. for each one: a system of N equations! (See statistical mechanics).
Otherwise, you can use Euler-Lagrange equation instead of Newton equation, that doesn't need F, but kinetic and potential energy, T and V (using scalars, and not vectors). (See analytical mechanics).
In quantum mechanics the situation gets more complex, involving the Schroedinger equation.
motion
motion
The study of motion is called kinematics. It involves describing the motion of objects in terms of displacement, velocity, acceleration, and time without considering the forces causing the motion.
The study of the causes of motion is called kinematics. It focuses on understanding how objects move, their speed, velocity, and acceleration without considering the forces or factors causing the motion.
The study of why objects move is dynamics, whereas the study of how objects move is kinematics.
motion
Mechanics and Kinematics.
The study of velocity, speed, and acceleration is called kinematics. Kinematics is a branch of physics that deals with the motion of objects without considering the forces causing the motion.
motion
kinematics
No, kinematics specifically refers to the study of motion. If an object is at rest, there is no motion occurring, and therefore no kinematics.
The study of motion is called kinematics. It involves describing the motion of objects in terms of displacement, velocity, acceleration, and time without considering the forces causing the motion.
The study of matter in motion is commonly called kinematics.
Kinematics
kinematics... apex physical science.
kinematics
Kinematics is the study of motions Kinetics is the study of forces