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July 4th, 2012, 08:45 AM   #1
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Speed-time graph

This graph is a speed-time graph for a car accelerating from rest: ... 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
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July 4th, 2012, 09:30 AM   #2
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Re: Speed-time 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:


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:


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