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a=dv/dt.

By definition, acceleration is the rate of change of velocity. In mathematical notation, it is given as the formula stated above.

Two special cases:

1. When acceleration is constant:

The rate of change is a constant. Therefore, it can be calculated by:

a=(vf - vi) / t

where a is acceleration

vf is final velocity

vi is initial velocity

and t is time taken

2. When velocity is constant:

Velocity is not changing. The rate of change of velocity is zero. Acceleration has to be zero.

* * * * *

Note that velocity and acceleration are both VECTORS. Therefore, an object going round in a circle, at CONSTANT speed, has velocity and acceleration that are changing all the time - because the direction of motion is changing.

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Q: What is the formula for acceleration?
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