A three-wheeler starts from rest, accelerates uniformly with $1\; m/s^{2}$ on a straight road for $10\; s$, and then moves with uniform velocity. Plot the distance covered by the vehicle during the $n ^{\text {th }}$ second $( n =1,2,3 \ldots .)$ versus $n$. What do you expect this plot to be during accelerated motion : a straight line or a parabola?
Two stones are thrown up simultaneously from the edge of a cliff $200 \;m$ high with inttial speeds of $15\; m s ^{-1}$ and $30 \;m s ^{-1} .$ Verify that the graph shown in Figure correctly represents the time variation of the relative position of the second stone with respect to the first. Neglect atr resistance and assume that the stones do not rebound after hitting the ground. Take $g=10\; m s ^{-2} .$ Give the equations for the linear and curved parts of the plot.