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A train accelerates from rest at a const...

A train accelerates from rest at a constant rate a for distance `x_(1)` and time `t_91)`. After that is retards at constant rate `beta` for distance `x_(2)` and time `t_(2)` and comes to the rest. Which of the following relation is correct:-

A

`x_1/x_2 = alpha/beta = t_1/t_2`

B

`x_1/x_2 = beta/alpha = t_1/t_2`

C

`x_1/x_2 = alpha/beta = t_2/t_1`

D

`x_1/x_2 = beta/alpha = t_2/t_1`

Text Solution

Verified by Experts

The correct Answer is:
B

`t_1 = (v_m)/(alpha), `t_2 = (v_m)/(beta)`
`x_1 = 1/2 v_m t_1`
`x_2 = 1/2 v_m t_2`
`x_1/x_2 = (t_1)/(t_2) = beta/alpha`
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