Worked example: Motion problems with derivatives | AP Calculus AB | Khan Academy

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Finding (and interpreting) the velocity and acceleration given position as a function of time.

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If anyone having trouble with the relationship of speed with both velocity and acceleration here's what I know hope it helps velocity and acceleration have the same sign
Both positive: This means the object is moving in the positive direction and its speed is increasing.
Both negative: This means the object is moving in the negative direction and its speed is increasing (meaning it is moving faster in the negative direction).
In both cases, the speed will be increasing.

If velocity and acceleration have different signs
Positive velocity and negative acceleration: This means the object is moving forward but slowing down.
Negative velocity and positive acceleration: This means the object is moving backward but slowing down (in other words it is getting closer to stopping

Reminder velocity is all about directions 😊

userdan-ce
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Negative velocity and positive acceleration = slowing down

superscience
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Sir can you please tell me which software you use to teach
Thanks in advance

ramankumar
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Error, I think, at 3:52:
If acceleration is negative, then
speed can't increase, because negative accelaration is slowing down,
accel > 0, then speed increase;
if accel. = 0, then no speed change;
if accel. < 0 speed is decreasing
and sign of velocity doesn't matter.

Am I wrong ?

ostanin_vadym