Average Speed Calculation: Why 2x266.67 Doesn't Work

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SUMMARY

The average speed calculation presented in the discussion highlights a common misunderstanding in physics regarding motion with variable velocity. The correct formula for average speed is derived from the total distance of 3792.6 meters divided by the total time of 400 seconds, rather than using 2x266.67 seconds, which incorrectly assumes symmetry in the motion. The key takeaway is that when velocity is not constant, the time taken to return to the starting point differs from the time taken to reach the turning point. This emphasizes the importance of understanding variable acceleration in motion analysis.

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Janiceleong26
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1. Homework Statement

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Ok so for part ii) b)

I calculated the average speed as follow,
Average speed= 3792.6/ (2x266.67), where 3792.6m is the total distance, and 266.67s is the time when v=0 , i.e. the time from O to the turning point

But it should be 3792.6/ 400, where 400s is the time when x=0 , i.e. returns to O

I'm confused, why isn't the total time (2x266.67) ? What is there a difference in the time?
 
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Why do you think it takes as long to get back from the turning point as it does to reach it?
 
Yes there is. v is not symmetric as with constant acceleration. Make a sketch.
 

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