A body falling freely from rest describes distances $S_1,{ S}_2$ and $S_3$ in the first, second and third seconds of its fall. The ratio of $S_1:S_2:S_3$ is
 

The velocity-time graph of a body moving in a straight line is shown in Fig. The displacement and distance travelled by the body in $6$ seconds are respectively

A car accelerates from rest at a constant rate $\left(\alpha \right)$ for some time after which it decelerates at a constant rate $\left(\beta \right)$ and comes to rest. If the time elapsed is $t$, maximum velocity acquired by the car is

For the velocity-time graph shown in Fig. The distance covered by the body in the last two seconds of its motion is what fraction of the total distance covered in all the seven seconds?