First slide
Average Speed
Question

A train takes t sec to perform a journey. it travels for t/n sec with uniform acceleration then for 

(n-3n)t sec with uniform speed v and finally it comes to rest with uniform retardation. Then average speed of train is

Moderate
Solution

Total time of journey = t
First interval = t/n
Second interval = n-3nt

Third interval = 2t/n
 

Average speed= Area under v-t graphTime


 

12tnV +V.n-3nt + 122tnVt


 

2n-32nv



 

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