Two buses P and Q start from a point at the same time and move in a straight line and their positions are represented by ${X_P}(t) = \alpha t + \beta {t^2}$ and ${X_Q}(t) = ft - {t^2}$. At what time, both the buses have same velocity?

Question

${{\alpha - f} \over {1 + \beta }}$

${{\alpha + f} \over {2(\beta - 1)}}$

${{\alpha + f} \over {2(1 + \beta )}}$

${{f - \alpha } \over {2(1 + \beta )}}$

Solution

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