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November 5th, 2010, 07:48 AM   #1
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body moving on acoordinate line with s in meters and t in se

Posision s = (t^4/4) - t^3 + t^2 , 0<=t<=3
this body moving on acoordinate line with s in meters and t in second .

when if ever during the intreval dose the body change direction ?

How I solve this quetion ....


I do derivatives but after that what i do ?
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November 5th, 2010, 08:33 AM   #2
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Re: body moving on acoordinate line with s in meters and t i



(velocity).





(0, 1) - positive
(1, 2) - negative
(2, 3] - positive

The body changes direction when velocity goes from negative to positive or vice-versa, so the body changes direction at 1 second and at 2 seconds.
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November 5th, 2010, 10:44 AM   #3
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Re: body moving on acoordinate line with s in meters and t i

Hello, r-soy!

greg1313 did all the work for us.
Let me give you the background explanation . . .


Quote:





In order for a body to change direction, it must first come to a full stop,
[color=beige]. . [/color]Hence, we are seeking times when the velocity is zero.








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