# A train accelerates from rest at a constant rate 𝛼 for distance 𝑥1 and time 𝑡1. After that it retards to rest at constant rate 𝛽 for distance 𝑥2 and time 𝑡2. Then it is found that

Question : A train accelerates from rest at a constant rate 𝛼 for distance 𝑥1 and time 𝑡1. After that it retards to rest at constant rate 𝛽 for distance 𝑥2 and time 𝑡2. Then it is found that

(A) $\dfrac{x_{1}}{x_{2}}=\dfrac{\alpha }{\beta }=\dfrac{t_{1}}{t_{2}}$

(B) $\dfrac{x_{1}}{x_{2}}=\dfrac{\beta }{\alpha }=\dfrac{t_{1}}{t_{2}}$

(C) $\dfrac{x_{1}}{x_{2}}=\dfrac{\beta }{\alpha }=\dfrac{t_{2}}{t_{1}}$

(D) (C) $\dfrac{x_{1}}{x_{2}}=\dfrac{\beta }{\alpha }=\dfrac{t_{2}}{t_{1}}$