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A particle starts from rest with constan...

A particle starts from rest with constant acceleration. The ratio of space-average velocity to the time average velocity is :

A

`1//2`

B

`3//4`

C

`4//3`

D

`3//2`

Text Solution

Verified by Experts

The correct Answer is:
C
`lt v_("space") gt =(int" vds")/(int" ds")=(int sqrt(2as)ds)/(int ds)=2/3 v`
`lt v_("time") gt =(int" vdt")/(int" dt")=(int" atdt")/(int" dt")=v/2 :. (lt v_(s) gt)/(lt v_(t) gt)=4:3`
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