Which point is magnitude of its velocity at a minimum ?

Question

3psilon · Answer

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3psilon · Answer

I have the answer but don't understand how they got it

shane_b · Answer

Look for spots where the position is no longer changing with time or the direction of the velocity is changing directions.  Those will be the points at which the velocity is 0.  

At points B and D, the velocity is changing directions and at point E the position is no longer changing.

anonymous · Answer

Velocity is the slope of the position-time curve. Look for where the slope = zero.

3psilon · Answer

So it is B, D, and E because they are not on slopes ?

shane_b · Answer

Yes...as @CliffSedge put it: $$V=\frac{ds}{dt}$$

3psilon · Answer

You said at B and D the velocity is changing directions? How is it doing so
?

3psilon · Answer

@Shane_B

shane_b · Answer

The direction is changing at those points because the curve of the function is reversing directions at those points.  At point B the position is increasing up to B...and then decreasing after point B.  Point D is the reverse of that.

3psilon · Answer

Ohh okay okay I see it

3psilon · Answer

Hey sexy @0mega

anonymous · Answer

@3psilon hey hot stuff