Which one is not an example of a point object?

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 speed-time graph of a particle moving along a fixed direction is shown in the figure. Then the distance traversed by the particle between $t=0$ s to $10$ s is:
        
1. $70$ m
2. $60$ m
3. $50$ m
4. $40$ m

The velocity-time graph of a particle in one-dimensional motion is shown in the figure. Which of the following formulae is correct for describing the motion of the particle over the time interval $t_1$ to $t_2?$
         

The figure gives the x-t plot of a particle executing a one-dimensional simple harmonic motion. Then the signs of position & velocity variables of the particle at t = -1.2 sec respectively are:

$\left(1\right) positive ,   negative$
$\left(2\right) positive ,   positive$
$\left(3\right) negative ,   positive$
$\left(4\right) negative ,   negative$

The position-time $(x\text-t)$ graphs for two children $A$ and $B$ returning from their school $O$ to their homes $P$ and $Q$ respectively are shown in the graph. 
           
Choose the incorrect statement:

A jet airplane travelling at the speed of $500~\text{km/h}$ ejects its products of combustion at the speed of $1500~\text{km/h}$ relative to the jet plane. What is the speed of the latter with respect to an observer on the ground?
1. $1000~\text{km/h}$
2. $500~\text{km/h}$
3. $1500~\text{km/h}$
4. $2000~\text{km/h}$

A car moving along a straight highway at a speed of $126~\text{km/h}$ is brought to a stop within a distance of $200~\text{m}.$ How long does it take for the car to stop?
1. $10.2~\text{s}$ 
2. $9.6~\text{s}$ 
3. $11.4~\text{s}$ 
4. $6.7~\text{s}$ 

Two trains $A$ and $B$ of length $400~\text m$ each are moving on two parallel tracks with a uniform speed of $72~\text{km/h}$ in the same direction with $A$ ahead of $B.$ The driver of $B$ decides to overtake $A$ and accelerates by $1~\text{m/s}^2.$ If after $50~\text s,$ the guard of $B$ just brushes past the driver of $A,$ what was the original distance between them?
1. $2000~\text m$
2. $2250~\text m$
3. $1200~\text m$
4. $1250~\text m$

On a two-lane road, car $A$ is travelling at a speed of $36$ kmh^–1. Two cars $B$ and $C$ approach car $A$ in opposite directions with a speed of $54$ kmh^–1 each. At a certain instant, when the distance $AB$ is equal to $AC$, both being $1$ km, $B$ decides to overtake $A$ before $C$ does. What minimum acceleration of car $B$ is required to avoid an accident?
1. $1$ ms^–2
2. $5$ ms^–2
3. $2$ ms^–2
4. $3$ ms^–2