The motion of a particle along a straight line is described by equation $x = 8 + 12t -t^3$ where $x$ is in metre and $t$ in second. The retardation of the particle when its velocity becomes zero is.......$ms^{-2}$
$6$
$12$
$24$
$0$
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 man is, $d$ distance behind a bus. The bus moves away from the man with an acceleration $a$. At the same time, man starts running towards bus with a constant velocity $v$.
The displacement-time graph for two particles $A$ and $B$ are straight lines inclined at angles of $30^o$ and $60^o$ with the time axis. The ratio of velocities of $V_A : V_B$ is
A ball is thrown vertically upwards. Which of the following graph/graphs represent velocity-time graph of the ball during its flight (air resistance is neglected)
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