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Acceleration is a vector that is described by both direction and magnitude and it helps you to evaluate the amount of change of velocity in a specified amount of time.
The mathematical formula that helps you to evaluate the acceleration is the following, such that:
`a = (Delta v)/(Delta t)`
`Delta v` represents the changein velocity and it can be evaluate subtracting the initial value of velocity from the final value of velocity, such that:
`Delta v = v_f - v_i`
`v_f` represents the final velocity
`v_i` represents the initial velocity
`Delta t` represents the change in time and it can be evaluate subtracting the initial time from the final time, such that:
`Delta t = t_f - t_i`
You may evaluate the acceleration at any time differentiating the velocity equation with respect to time.
`a(t) = (dv)/(dt)`
Acceleration is defined as the change in velocity with respect to time.
When looking at the units for acceleration (m/s^2), this makes sense because if velocity is measure in m/s, then velocity with respect to time is m/s/s or m/s^2.
Again, acceleration is measured in m/s^2.
Remember than because velocity includes direction and speed, acceleration not only refers to the change in speed, but also the change in direction.
Hence, a particle traveling in a circle at a constant velocity will have a changing acceleration, because it's direction is always changing.
Acceleration is change in velocity(final velocity-initial velocity) over time(final time-initial time)
The best definition for acceleration would be change in velocity over time.
delta v= change in velocity= final velocity-initial velocity
delta t=change in time= final time-initial time
Acceleration is change in velocity over time.
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