Kinematics

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Kinematics is the study of motion, without regard to forces or mass.

Scalars and vectors: Scalars are quantities with only magnitude while vectors have both magnitude and direction.
Distance and displacement: Distance is the total path covered while displacement is the final position minus the initial position.
Speed and velocity: Speed is the magnitude of velocity while velocity is the rate of change of displacement with respect to time.
Acceleration: Acceleration is the rate of change of velocity with respect to time.
Projectile motion: Projectile motion refers to the motion of objects that are projected into the air and then follow a curved path under the influence of gravity.
Circular motion: Circular motion refers to the motion of objects that move in a circular path at a constant speed.
Newton's laws of motion: Newton's laws describe the relationship between the motion of an object and the forces acting on it.
Work and energy: Work is the product of the force and the displacement while energy is the capacity to do work.
Conservation of energy: Conservation of energy states that energy can neither be created nor destroyed, only transferred or converted from one form to another.
Momentum and impulse: Momentum is the product of mass and velocity while impulse is the change in momentum over time.
Collisions: Collisions occur when two or more objects interact with one another, resulting in a change in momentum.
Rotational motion: Rotational motion refers to the motion of objects that rotate around a fixed axis.
Torque: Torque is the rotational equivalent of force and is the product of force and the perpendicular distance from the axis of rotation.
Angular velocity and acceleration: Angular velocity is the rate of change of angle with respect to time while angular acceleration is the rate of change of angular velocity with respect to time.
Moment of inertia: Moment of inertia is a property of an object that determines its rotational motion and is dependent on its mass distribution.
Linear kinematics: Describes the motion of an object along a straight line.
Rotational kinematics: Describes the motion of an object in a circular or rotational motion.
Projectile kinematics: Describes the motion of an object that is launched with a velocity and then falls due to gravity.
Simple harmonic motion kinematics: Describes the motion of an object that moves back and forth with a constant amplitude and a constant period.
Circular motion kinematics: Describes the motion of an object moving in a circle.
Uniform motion kinematics: Describes the motion of an object moving with a constant velocity.
Non-uniform motion kinematics: Describes the motion of an object that is not moving with a constant velocity.
Relative motion kinematics: Describes the motion of two objects with respect to each other.
Oscillatory motion kinematics: Describes the motion of an object that oscillates or vibrates with a periodic or repetitive motion.
Translational motion kinematics: Describes the motion of an object that moves without rotating, such as a car moving along a straight road or a ball rolling downhill.
"Kinematics is a subfield of physics, developed in classical mechanics, that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the forces that cause them to move."
"Kinematics is a subfield of physics, developed in classical mechanics, that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the forces that cause them to move."
"Kinematics, as a field of study, is often referred to as the 'geometry of motion' and is occasionally seen as a branch of mathematics."
"A kinematics problem begins by describing the geometry of the system and declaring the initial conditions of any known values of position, velocity, and/or acceleration of points within the system."
"Then, using arguments from geometry, the position, velocity, and acceleration of any unknown parts of the system can be determined."
"The study of how forces act on bodies falls within kinetics, not kinematics."
"Kinematics is used in astrophysics to describe the motion of celestial bodies and collections of such bodies."
"In mechanical engineering, robotics, and biomechanics, kinematics is used to describe the motion of systems composed of joined parts (multi-link systems) such as an engine, a robotic arm or the human skeleton."
"Geometric transformations, also called rigid transformations, are used to describe the movement of components in a mechanical system, simplifying the derivation of the equations of motion."
"They are also central to dynamic analysis."
"Kinematic analysis is the process of measuring the kinematic quantities used to describe motion."
"In engineering, for instance, kinematic analysis may be used to find the range of movement for a given mechanism."
"Working in reverse, using kinematic synthesis to design a mechanism for a desired range of motion."
"Kinematics applies algebraic geometry to the study of the mechanical advantage of a mechanical system or mechanism."
"The study of how forces act on bodies falls within kinetics, not kinematics."
"Geometric transformations, also called rigid transformations, are used to describe the movement of components in a mechanical system, simplifying the derivation of the equations of motion."
"Kinematic analysis may be used to find the range of movement for a given mechanism."
"Using kinematic synthesis to design a mechanism for a desired range of motion."
"Kinematics is used in astrophysics to describe the motion of celestial bodies and collections of such bodies."
"In mechanical engineering, robotics, and biomechanics, kinematics is used to describe the motion of systems composed of joined parts (multi-link systems) such as an engine, a robotic arm or the human skeleton."