Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time \(t_1\). On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time \(t_2\). The time taken by her to walk upon the moving escalator will be:
1. \(\frac{t_1t_2}{t_2-t_1}\)
2. \(\frac{t_1t_2}{t_2+t_1}\)
3. \(t_1-t_2\)
4. \(\frac{t_1+t_2}{2}\)
Two cars P and Q start from a point at the same time in a straight line and their positions are represented by and . At what time do the cars have the same velocity?
(1)
(2)
(3)
(4)
If the velocity of a particle is , where A and B are constants, then the distance travelled by it between 1s and 2s is?
If the velocity of a particle is \(\mathrm{v}=\mathrm{At}+\mathrm{Bt^{2}},\) where \(\mathrm{A}\) and \(\mathrm{B}\) are constants, then the distance travelled by it between \(1\) s and \(2\) s is:
1. \(3\mathrm{A}+7\mathrm{B}\)
2. \(\frac{3}{2}\mathrm{A}+\frac{7}{3}\mathrm{B}\)
3. \(\frac{\mathrm{A}}{2}+\frac{\mathrm{B}}{3}\)
4. \(\frac{\mathrm{3A}}{2}+\mathrm{4B}\)