The maximum possible acceleration of a train moving on a straight track is $10\ m/s^2$ and maximum possible retardation is $5\ m/s^2$ . If maximum achievable speed of train is $10\ m/s$ then minimum time in which train can complete a journey of $135\ m$ starting from rest and ending at rest, is .........$s$

A thief is running away on a straight road on a jeep moving with a speed of $9\, m/s$. A police man chases him on a motor cycle moving at a speed of $10 \,m/s$. If the instantaneous separation of jeep from the motor cycle is $100 \,m$, how long will it take for the policemen to catch the thief........ $second$

A point moves with uniform acceleration and $v_1, v_2$ and $v_3$ denote the average velocities in the three successive intervals of time $t_1, t_2$ and $t_3$. Which of the following relations is correct?

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 ball of mass $m_1$ and another ball of mass $m_2$ are dropped from equal height. If time taken by the balls are $t_1$ and $t_2$ respectively, then

A particle moves with constant acceleration, let $v_1, v_2, v_3$ be the Average velocities in successive time interval $t_1, t_2$ and $t_3$ then