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I came across a statement in my textbook saying

acceleration positive indicates velocity increases and speed may increase or decrease

Can you please provide examples for the saying for Speed I am able to understand the velicity one

  • In the 1D case, velocity can be a negative number. If you add a positive increment, the absolute value decreases. –  Apr 18 '21 at 17:06

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If we take forward as positive, then $a>0$ means that the velocity is increasing. If the velocity $v$ has "increased" from $-4$ to $-2$, the speed, which is equal to $|v|$, has decreased from $4$ to $2$.

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