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

Options

A. `v_(av)=1/2[v(t_(1))-v(t_(2))]`
B. `v_(av)=(r(t_(2))-r(t_(1)))/(t_(2)-t_(1))`
C. `r=1/2(v(t_(2))-v(t_(1)t)t_(2)-t_(1))`
D. `a_(av)=(v(t_(2))-v(t_(1)))/(t_(2)-t_(1))`

Answer

C

Explanation

`v=(Deltar)/(Deltat)=(r_(2)-r_(1))/(t_(2)-t_(1))`
`a_(av)=(Deltav)/(Deltat)=(v_(2)-v_(1))/(t_(2)-t_(1))`
`v_(av)ne(v_(1)+v_(2))/2`
`Deltar=r_(2)-r_(1)=(v_(2)-v_(1))(t_(2)-t_(1))`.