The figure shows a velocity-time graph of a particle moving along a straight line. The total distance travelled by the particle is ........ $m$.

$A$ body is thrown vertically upwards. Which one of the following graphs correctly represents the velocity vs time?

For the displacement-time graph shown in the figure,the ratio of the magnitudes of the (constant) speeds during the first two seconds and the next four seconds is

The velocity $(v)$ versus time $(t)$ plot of a particle is shown in the figure,for a time interval of $40 \text{ s}$. The total distance travelled by the particle and the average velocity during this period are,respectively . . . . . . .

The position $x$ of a particle moving in one dimension under the influence of a constant force is given by $t = \sqrt{x} + 3$,where $x$ is in meters and $t$ is in seconds. Find the displacement of the particle in $m$ when its velocity becomes zero.

$y = (P t^2 - Q t^3) \ m$ is the vertical displacement of a ball which is moving in a vertical plane. Then the maximum height that the ball can reach is,