Fig 1: Source: <3>Acceleration is the rate of change of velocity. The is a vector that consists of the direction and also magnitude. We deserve to write the formula the acceleration as below:


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Source: <2>

There space two types of acceleration: mean acceleration and instantaneous acceleration. Typical acceleration is the proportion of the total readjust in velocity to the total time interval<2>. Conversely, instantaneous acceleration concern around the price of adjust of velocity in ~ a certain moment in time. We room considering average acceleration as the acceleration in this article.

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The rate of readjust of velocity in average acceleration can be characterized as below:


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Source<2>Positive acceleration and negative acceleration

Normally, we call acceleration a hopeful acceleration as soon as the object moves in the hopeful direction(left to right) and also the rate of readjust of velocity is positive(velocity is increasing). The acceleration is an adverse when the object is relocating in the optimistic direction, however the price of adjust of velocity is negative(velocity is decreasing).


Fig: 2: positive and an unfavorable acceleration in a an adverse direction. Source: <1>

We can additionally define these 2 acceleration when things travels in the negative or the contrary direction(right to left). In this case, the direction of the object is negative, and also the rate of adjust of velocity is positive(velocity is increasing), then us can speak to it negative acceleration. The is the same as an item decreasing the velocity in a optimistic direction. Similarly, the rate of readjust of velocity decreases in the an unfavorable direction is taken into consideration positive acceleration together it implies increasing the rate in a positive direction.

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Deacceleration
Acceleration and deacceleration. Source<4>

A usual intuition is the deacceleration is a negative acceleration. The is true in the confident direction yet not true in opposing direction. As shown in fig 2, deacceleration can be optimistic or negative acceleration, yet it constantly has a negative value because that the price of readjust of velocity(velocity is decreasing).