acceleration
The amount by which a speed or velocity increases (and so a scalar quantity or a vector quantity).
Examples of acceleration in the following topics:

Angular Acceleration, Alpha
 Angular acceleration is the rate of change of angular velocity.
 In equation form, angular acceleration is expressed as follows:
 The units of angular acceleration are (rad/s)/s, or rad/s2.
 This acceleration is called tangential acceleration, at.
 This acceleration is called tangential acceleration.

Centripetial Acceleration
 Since the speed is constant, one would not usually think that the object is accelerating.
 Thus, it is said to be accelerating.
 One can feel this acceleration when one is on a roller coaster.
 This feeling is an acceleration.
 A brief overview of centripetal acceleration for high school physics students.

Motion with Constant Acceleration
 Constant acceleration occurs when an object's velocity changes by an equal amount in every equal time period.
 Acceleration can be derived easily from basic kinematic principles.
 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.
 When it is not, we can either consider it in separate parts of constant acceleration or use an average acceleration over a period of time.
 Due to the algebraic properties of constant acceleration, there are kinematic equations that relate displacement, initial velocity, final velocity, acceleration, and time.

Relationship Between Torque and Angular Acceleration
 Torque is equal to the moment of inertia times the angular acceleration.
 Torque and angular acceleration are related by the following formula where is the objects moment of inertia and $\alpha$ is the angular acceleration .
 If you replace torque with force and rotational inertia with mass and angular acceleration with linear acceleration, you get Newton's Second Law back out.
 Torque, Angular Acceleration, and the Role of the Church in the French Revolution
 Express the relationship between the torque and the angular acceleration in a form of equation

Constant Angular Acceleration
 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.
 By using the relationships a=rα, v=rω, and x=rθ, we derive all the other kinematic equations for rotational motion under constant acceleration:
 Relate angle of rotation, angular velocity, and angular acceleration to their equivalents in linear kinematics

Graphical Interpretation
 Acceleration is accompanied by a force, as described by Newton's Second Law; the force, as a vector, is the product of the mass of the object being accelerated and the acceleration (vector), or $F=ma$.
 Because acceleration is velocity in $\displaystyle \frac{m}{s}$ divided by time in s, we can further derive a graph of acceleration from a graph of an object's speed or position.
 From this graph, we can further derive an acceleration vs time graph.
 The acceleration graph shows that the object was increasing at a positive constant acceleration during this time.
 This is depicted as a negative value on the acceleration graph.

Overview of NonUniform Circular Motion
 The change in direction is accounted by radial acceleration (centripetal acceleration), which is given by following relation: $a_r = \frac{v^2}{r}$.
 The change in speed has implications for radial (centripetal) acceleration.
 A change in $v$ will change the magnitude of radial acceleration.
 The greater the speed, the greater the radial acceleration.
 The corresponding acceleration is called tangential acceleration.

Kinematics of UCM
 The acceleration can be written as:
 This acceleration, responsible for the uniform circular motion, is called centripetal acceleration.
 Any force or combination of forces can cause a centripetal or radial acceleration.
 According to Newton's second law of motion, net force is mass times acceleration.
 For uniform circular motion, the acceleration is the centripetal acceleration: $a = a_c$.

Rotational Inertia
 The first example implies that the farther the force is applied from the pivot, the greater the angular acceleration; another implication is that angular acceleration is inversely proportional to mass.
 The greater the force, the greater the angular acceleration produced.
 The more massive the wheel, the smaller the angular acceleration.
 If you push on a spoke closer to the axle, the angular acceleration will be smaller.
 Explain the relationship between the force, mass, radius, and angular acceleration

Radiation Reaction
 We have found that when a charge is accelerated a certain power is radiated away, so to accelerate the particle we must provide some extra energy to work against a "radiation reaction'' force,
 We can drop the term from the endpoints if for example the acceleration vanishes at $t=t_1$ and $t=t_2$ or if the acceleration and velocity of the particle are the same at $t=t_1$ and $t=t_2$.We can identify,