When a particle's position changes, which of the following statements is true about its displacement and the distance it covers?

A car moves with a speed of $60$ km/h for $1$ hour in the east direction and with the same speed for $30$ min in the south direction. The displacement of the car from the initial position is:

A particle moves along a path $ABCD$ as shown in the figure. The magnitude of the displacement of the particle from $A$ to $D$ is:

1. $(5+10\sqrt{2})$m
2. $10$ m
3. $15\sqrt{2}$ m
4. $15$ m

A drunkard walking in a narrow lane takes $5$ steps forward and $3$ steps backward, followed again by $5$ steps forward and $3$ steps backward, and so on. Each step is $1$ m long and requires $1$ s. There is a pit on the road $13$ m away from the starting point. The drunkard will fall into the pit after:
1. $37$ s
2. $31$ s
3. $29$ s
4. $33$ s

The figure shows the displacement-time graph of a particle moving on the x-axis. Then,                           

The figure gives the $(x\text-t)$ plot of a particle in a one-dimensional motion. Three different equal intervals of time are shown. The signs of average velocity for each of the intervals $1,$ $2$ and $3,$ respectively are:
                       

If a body travels some distance in a given time interval, then for that time interval, its:

A car moves from $X$ to $Y$ with a uniform speed $v_u$ and returns to $X$ with a uniform speed $v_d.$ The average speed for this round trip is:

The position of an object moving along the $x\text-$axis is given by, $x=a+bt^2$, where $a=8.5 ~\text m,$  $b=2.5~\text{m/s}^2,$ and $t$ is measured in seconds. Its velocity at $t=2.0~\text s$ will be:
1. $13~\text{m/s}$ 
2. $17~\text{m/s}$
3. $10~\text{m/s}$
4. $0~\text{m/s}$