Examples of constant velocity in the following topics:

 An object moving with constant velocity must have a constant speed in a constant direction.
 Motion with constant velocity is one of the simplest forms of motion.
 To have a constant velocity, an object must have a constant speed in a constant direction.
 If an object is moving at constant velocity, the graph of distance vs. time ($x$ vs.
 Examine the terms for constant velocity and how they apply to acceleration

 If a charged particle's velocity is parallel to the magnetic field, there is no net force and the particle moves in a straight line.
 If an object experiences no net force, then its velocity is constant: the object is either at rest (if its velocity is zero), or it moves in a straight line with constant speed (if its velocity is nonzero).
 If the acceleration is zero, any velocity the particle has will be maintained indefinitely (or until such time as the net force is no longer zero).
 If the magnetic field and the velocity are parallel (or antiparallel), then sinθ equals zero and there is no force.
 In the case above the magnetic force is zero because the velocity is parallel to the magnetic field lines.

 Though the body's speed is constant, its velocity is not constant: velocity (a vector quantity) depends on both the body's speed and its direction of travel.
 (Note that ω = v/r. ) Thus, v is a constant, and the velocity vector v also rotates with constant magnitude v, at the same angular rate ω.
 The point P travels around the circle at constant angular velocity ω.
 where θ=ωt, ω is the constant angular velocity, and X is the radius of the circular path.
 Velocity v and acceleration a in uniform circular motion at angular rate ω; the speed is constant, but the velocity is always tangent to the orbit; the acceleration has constant magnitude, but always points toward the center of rotation

 Instantaneous velocity is the velocity of an object at a single point in time and space as calculated by the slope of the tangent line.
 Typically, motion is not with constant velocity nor speed.
 A graphical representation of our motion in terms of distance vs. time, therefore, would be more variable or "curvy" rather than a straight line, indicating motion with a constant velocity as shown below.
 To calculate the speed of an object from a graph representing constant velocity, all that is needed is to find the slope of the line; this would indicate the change in distance over the change in time.
 Since our velocity is constantly changing, we can estimate velocity in different ways.

 Constant acceleration occurs when an object's velocity changes by an equal amount in every equal time period.
 An object experiencing constant acceleration has a velocity that increases or decreases by an equal amount for any constant period of time.
 It is defined as the first time derivative of velocity (so the second derivative of position with respect to time):
 Assuming acceleration to be constant does not seriously limit the situations we can study and does not degrade the accuracy of our treatment, because in a great number of situations, acceleration is constant.
 Due to the algebraic properties of constant acceleration, there are kinematic equations that relate displacement, initial velocity, final velocity, acceleration, and time.

 Centripetal acceleration is the constant change in velocity necessary for an object to maintain a circular path.
 Often the changes in velocity are changes in magnitude.
 Uniform circular motion involves an object traveling a circular path at constant speed.
 Since the speed is constant, one would not usually think that the object is accelerating.
 Even if the speed is constant, a quick turn will provoke a feeling of force on the rider.

 Although the angle itself is not a vector quantity, the angular velocity is a vector.
 Angular acceleration gives the rate of change of angular velocity.
 A fly on the edge of a rotating object records a constant velocity $v$.
 The object is rotating with an angular velocity equal to $\frac{v}{r}$.
 The direction of the angular velocity will be along the axis of rotation.

 Constant angular acceleration describes the relationships among angular velocity, angle of rotation, and time.
 We have already studied kinematic equations governing linear motion under constant acceleration:
 Similarly, the kinematics of rotational motion describes the relationships among rotation angle, angular velocity, angular acceleration, and time.
 As in linear kinematics where we assumed a is constant, here we assume that angular acceleration α is a constant, and can use the relation: $a=r\alpha $ Where r  radius of curve.Similarly, we have the following relationships between linear and angular values: $v=r\omega \\x=r\theta $
 Relate angle of rotation, angular velocity, and angular acceleration to their equivalents in linear kinematics

 Angular acceleration is the rate of change of angular velocity.
 Consider the following situations in which angular velocity is not constant: when a skater pulls in her arms, when a child starts up a merrygoround from rest, or when a computer's hard disk slows to a halt when switched off.
 Angular acceleration is defined as the rate of change of angular velocity.
 where $\Delta \omega$ is the change in angular velocity and $\Delta t$ is the change in time.
 Tangential acceleration refers to changes in the magnitude of velocity but not its direction.

 A fluid in motion has a velocity, just as a solid object in motion has a velocity.
 Like the velocity of a solid, the velocity of a fluid is the rate of change of position per unit of time.
 The flow velocity vector is a function of position, and if the velocity of the fluid is not constant then it is also a function of time.
 In SI units, fluid flow velocity is expressed in terms of meters per seconds.
 The magnitude of the fluid flow velocity is the fluid flow speed.