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A train accelerates from rest at a constant rate \( \alpha \) for distance \( x_{1} \) and time \( t_{1} \). After that it retards to rest at constant rate \( \beta \) for distance \( x_{2} \) and time \( t_{2} \). Which of the following relations is correct
[MP PET 2012]
(a) \( \frac{x_{1}}{x_{2}}=\frac{\alpha}{\beta}=\frac{t_{1}}{t_{2}} \)
(b) \( \frac{x_{1}}{x_{2}}=\frac{\beta}{\alpha}=\frac{t_{1}}{t_{2}} \)
(c) \( \frac{x_{1}}{x_{2}}=\frac{\alpha}{\beta}=\frac{t_{2}}{t_{1}} \)
(d) \( \frac{x_{1}}{x_{2}}=\frac{\beta}{\alpha}=\frac{t_{2}}{t_{1}} \)
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