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Following are four different relations a...

Following are four different relations about displacement, velocity and acceleration for the motion of a particle in general. Choose the incorrect one (s)

A

`vecv_("av")=(1)/(2)[vecv(t_(1))+vecv(t_(2))]`

B

`vecv_("av")=(vecr(t_(2)))-vecr(t_(1))/(t_(2)-t_(1))`

C

`vecr=(1)/(2) (vecv(t_(2))-vecv(t_(1)))(t_(2)-t_(1))`

D

`veca_("av")=(vecv(t_(2))-vecv(t_(1)))/(t_(2)-t_(1))`

Text Solution

Verified by Experts

The correct Answer is:
A, C

(a,c) : Option (a) is true omly when aceleration is constant but not is general, so it is incorrect.
Option (c) is not correct, because right hand sid is change in velocity multiplied by time interval and does not give displacement vector.
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