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# List some examples of acceleration.

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## AccelerationAcceleration is defined as the rate of change of velocity with respect to time.If $v$ is the velocity and $t$ is the time then instantaneous acceleration is given as ${a}_{int}=\frac{dv}{dt}$.If ${v}_{1}$ is the initial velocity and ${v}_{2}$ is the final velocity is a total time period $T$, then the average acceleration is given as ${a}_{avg}=\frac{{v}_{2}-{v}_{1}}{T}$.Therefore, the unit of acceleration is $m/{s}^{2}$.Since velocity is a vector quantity, acceleration is also a vector quantity.The product of acceleration undergone by the body and its mass gives the value of force applied by the body.If $S$ is the displacement of the body, the acceleration can also be expressed as, ${a}_{int}=\frac{dv}{dt}=\frac{d}{dt}\left(\frac{dS}{dt}\right)=\frac{{d}^{2}S}{d{t}^{2}}$.Examples of AccelerationFor a body in a uniform circular motion, even though its speed remains constant, its direction is constantly changing. This causes a constant change in velocity that results in the generation of acceleration.For a body that starts to move, it increases its velocity from ${v}_{1}=0$, since it is initially at rest to a final velocity ${v}_{2}$. Hence it undergoes acceleration.Similarly, for a moving body that comes to rest, it decreases its velocity from ${v}_{1}$ to ${v}_{2}=0$. Hence it undergoes a negative acceleration, retardation, or deceleration.A freely falling body is acted upon by acceleration that occurs due to the gravitation attractive force of the earth.

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