A particle moving with uniform acceleration from `A` to `B` along a straight line has velocities `v_(1)` and `v_(2)` at `A` and `B` respectively. If `C` is the mid-point between `A` and `B` then determine the velocity of the particle at `C` .
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A. `aV_(1)=bV_(2)`
B. `aV_(1)V^(2)=bV_(2)^(2)`
C. `a^(2)V_(1)=b^(2)V_(2)`
D. `aV_(2)=bV_(1)`
