A body falls from a large height. The ratio of distance traveled in each time interval $t_0$ during $t = 0$ to $t = 3\, t_0$ of the journey is
$1 : 4 : 9$
$1 : 2 : 4$
$1 : 3 : 5$
$1 : 2 : 3$
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........ $second$
Let $v$ and a denote the velocity and acceleration respectively of a particle in the dimensional motion
A body travels for $15\, sec$ starting from rest with constant acceleration. If it travels distances ${S_1},\;{S_2}$ and ${S_3}$ in the first five seconds, second five seconds and next five seconds respectively the relation between ${S_1},\;{S_2}$ and ${S_3}$ is
A wheel of radius $1$ meter rolls forward half a revolution on a horizontal ground. The magnitude of the displacement of the point of the wheel initially in contact with the ground is