The graphs in (i) and (ii) show the S-t graph and V -t graph of a body. Are the motions shown in the graphs represented by OAB the same ?

Explanation

The motion shown by the two graphs are not same.
(i) In the given s-t graph OA, is a uniform retardation motion.
Here, displacement `=("average velocity") xx ("time")`
`10=((u+0)/(2)) xx 4 therefore u=5ms^(-1)`
using `v^(2)-u^(2)=2as`
`a=-1.25 ms^(-2)`
(ii) In the given V-t graph,
OA is a uniform retardation of motion
a=slope of the line `=(OA)/(OB)=(-4ms^(-1))/(4s)=-1ms^(-2)`
Thus the two graphs, even through represent uniform retardation motions, the magnitudes are not equals.