what is the defintion for accelaration

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sciencesolve | Teacher | (Level 3) Educator Emeritus

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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)`

Sources:
Zaca's profile pic

Zaca | Student, Undergraduate | (Level 1) Salutatorian

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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. 

parama9000's profile pic

parama9000 | Student, Grade 11 | (Level 1) Valedictorian

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Acceleration is change in velocity(final velocity-initial velocity) over time(final time-initial time)

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laurto | Student, Grade 10 | (Level 1) Valedictorian

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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

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