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_(1) - t_(3)`
D. `v_(1) - v_(2) : v_(2) - v_(3) = t_(1) - t_(2) : t_(2) - t_(3)`

Answer

B

Explanation

`(v_(1) - v_(2))/(v_(2) - v_(3)) = (t_(1) + t_(2))/(t_(2) + t_(3))`