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July 4th, 2012, 08:45 AM  #1 
Newbie Joined: Apr 2012 Posts: 6 Thanks: 0  Speedtime graph
This graph is a speedtime graph for a car accelerating from rest: http://imageshack.us/photo/myimages/82 ... dff54.png/ How long does it take the car to travel half the distance? I'm stuck on this question. How do I work this out? Thank you 
July 4th, 2012, 09:30 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Speedtime graph
The distance d that the car travels is the area of the triangle under the velocity line: The acceleration a is the change in velocity with respect to time: hence: and so: If we let be the time to travel half the distance, and be the time to travel the entire distance, then we find: hence: 

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