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 XP(t) = αt + βt2 and XQ(t) = ft – t2. At what time, both the buses have same velocity?
1
\(\frac{\alpha-f}{1+\beta}\)
2
\(\frac{\alpha+f}{2(\beta-1)}\)
3
\(\frac{\alpha+f}{2(1+\beta)} \)
4
\( \frac{f-\alpha}{2(1+\beta)}\)