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

AI Thread Summary
The average speed calculation of 3792.6 meters divided by (2x266.67 seconds) is incorrect because it does not account for the time taken to return to the starting point. The correct average speed should be calculated using the total time of 400 seconds, which reflects the actual return time. The confusion arises from the assumption that the time taken to reach the turning point is equal to the time taken to return, which is not the case due to non-symmetrical velocity changes. A sketch can help visualize the differences in time during the journey. Understanding these dynamics is crucial for accurate average speed calculations.
Janiceleong26
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1. Homework Statement

image.jpg


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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