A point moves with uniform acceleration and `v_(1), v_(2)`, and `v_(3)` denote the average velocities in the three successive intervals of time `t_(1).t_(2)`, and `t_(3)` Which of the following Relations is correct?.

Options

A. `(V_(1)-V_(2)):(V_(2)-V_(3))=(t_(1)-t_(2)):(t_(2)-t_(3))`
B. `(V_(1)-V_(2)):(V_(2)-V_(3))=t_(1)+t_(2)):(t_(2)+t_(3))`
C. `(V_(1)-V_(2)):(V_(2)-V_(3))=(t_(1)-t_(2)):(t_(2)+t_(3))`
D. `(V_(1)-V_(2)):(V_(2)-V_(3))=(t_(1)+t_(2)):(t_(2)+t_(3))`

Answer

B

Explanation

`a=("change in average velocity")/("average time")`