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November 5th, 2010, 07:48 AM  #1 
Senior Member Joined: Oct 2009 Posts: 895 Thanks: 1  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 ? 
November 5th, 2010, 08:33 AM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,963 Thanks: 1148 Math Focus: Elementary mathematics and beyond  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 viceversa, so the body changes direction at 1 second and at 2 seconds. 
November 5th, 2010, 10:44 AM  #3  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: body moving on acoordinate line with s in meters and t i Hello, rsoy! 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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acoordinate, body, line, meters, moving 
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