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Which statement correctly describes the differences between positive and negative acceleration? Positive acceleration describes a change in speed; negative acceleration describes no change in speed. Positive acceleration describes no change in speed; negative acceleration describes a change in speed. Positive acceleration describes an increase in speed; negative acceleration describes a decrease in speed. Positive acceleration describes a decrease in speed; negative acceleration describes an increase in speed.

Respuesta :

The correct answer is - Positive acceleration describes an increase in speed; negative acceleration describes a decrease in speed.

Answer:

Positive acceleration describes an increase in speed; negative acceleration describes a decrease in speed.

Explanation:

Acceleration is defined as:

[tex]a=\frac{v-u}{\Delta t}[/tex]

where

v is the final velocity

u is the initial velocity

[tex]\Delta t[/tex] is the time taken for the change in velocity to occur

The value of [tex]\Delta t[/tex] is always positive, so the sign of the acceleration depends on the numerator. More specifically, we have two situations:

- if [tex]v > u[/tex], then it means that the final velocity is greater than the initial velocity, so the acceleration is positive and the speed is increasing

- if [tex]v < u[/tex], then it means that the final velocity is smaller than the initial velocity, so the acceleration is negative and the speed is decreasing

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