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 $?$
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 $?$
- A
$\frac{\alpha-f}{1+\beta}$
- B
$\frac{\alpha+f}{2(\beta-1)}$
- C
$\frac{\alpha+f}{2(1+\beta)}$
- D
$\frac{f-\alpha}{2(1+\beta)}$
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