Two cars start in a race with velocities `u_(1)` and `u_(2)` and travel in a straight line with acceleration `alpha` and `beta`. If both reach the finish line at the same time, the range of the race isA. `(2(u_(1)-u_(2)))/((beta-alpha)^2)(u_(1)beta-u_(2)alpha)`B. `(2(u_(1)-u_(2)))/(beta+alpha)(u_(1)alpha-u_(2)beta)`C. `((2u_(1)-u_(2))^(2))/((beta-alpha)^(2))`D. `(2u_(1)u_(2))/(betaalpha)`

Two cars start in a race with velocities `u_(1)` and `u_(2)` and trave

1.	Two cars start in a race with velocities `u_(1)` and `u_(2)` and travel in a straight line with acceleration `alpha` and `beta`. If both reach the finish line at the same time, the range of the race isA. `(2(u_(1)-u_(2)))/((beta-alpha)^2)(u_(1)beta-u_(2)alpha)`B. `(2(u_(1)-u_(2)))/(beta+alpha)(u_(1)alpha-u_(2)beta)`C. `((2u_(1)-u_(2))^(2))/((beta-alpha)^(2))`D. `(2u_(1)u_(2))/(betaalpha)`
Answer» Correct Answer - A Range`=` dist. Covered before they meet `S=t(u_(1)+(1)/(2)alpha t)=t(u_(2)+(1)/(2)beta t)` Sove for `t` and substitute in the above equation.

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