What can you say about the motion of an object whose distance-time graph is a straight line parallel to the time axis?

Under what condition$(s)$ is the magnitude of average velocity of an object equal to its average speed?

$A$ hiker rides $700\, m$ north,$300\, m$ east,$400\, m$ north,$600\, m$ west,$1200\, m$ south,$300\, m$ east,and finally $100\, m$ north. Draw the path of motion of the hiker. What distance did he cover? What was his displacement?

There are $5$ houses on a street,$A, B, C, D$ and $E$. For all cases,assume that positions to the right are positive.
$(i)$ Draw a frame of reference with house $A$ as the origin and the positions of houses $B, C, D$ and $E$.
$(ii)$ You live in house $C$. What is your position relative to house $E$?
$(iii)$ What are the positions of houses $A$ and $D$,if house $B$ is taken as the reference point?

Under what condition will the magnitude of the displacement be equal to the distance travelled by an object?

$A$ farmer moves along the boundary of a square field of side $10 \, m$ in $40 \, s$. What will be the magnitude of displacement (in $m$) of the farmer at the end of $2 \, min \; 20 \, s$ from his initial position?